{"items": [{"id": "a77-outcome-001", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7001, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 70 units with mass 1/2; value 76 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 73 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7001: 73 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7001, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 70 units with mass 1/2; value 76 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 73 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 73 units is mean-outcome(R7001).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "toy output", "boundary": "mean-outside", "variant": "0", "oracle": {"mean": "73", "modes": ["70", "76"], "value": "73", "flags": [true, false, false, false], "masses": {"70": "1/2", "76": "1/2"}, "paths": [["70", "1/2"], ["76", "1/2"]]}}, {"id": "a77-outcome-002", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7002, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 73 units with mass 1/2; value 79 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 76 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7002: 76 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7002, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 73 units with mass 1/2; value 79 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 76 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 76 units is mean-outcome(R7002).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "queue delay", "boundary": "mean-outside", "variant": "0", "oracle": {"mean": "76", "modes": ["73", "79"], "value": "76", "flags": [true, false, false, false], "masses": {"73": "1/2", "79": "1/2"}, "paths": [["73", "1/2"], ["79", "1/2"]]}}, {"id": "a77-outcome-003", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7003, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 76 units with mass 1/2; value 82 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 79 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7003: 79 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7003, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 76 units with mass 1/2; value 82 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 79 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 79 units is mean-outcome(R7003).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "retry count", "boundary": "mean-outside", "variant": "0", "oracle": {"mean": "79", "modes": ["76", "82"], "value": "79", "flags": [true, false, false, false], "masses": {"76": "1/2", "82": "1/2"}, "paths": [["76", "1/2"], ["82", "1/2"]]}}, {"id": "a77-outcome-004", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7004, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 86 units with mass 1/2; value 92 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 89 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7004: 89 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7004, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 86 units with mass 1/2; value 92 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 89 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 89 units is mean-outcome(R7004).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "resource use", "boundary": "mean-outside", "variant": "0", "oracle": {"mean": "89", "modes": ["86", "92"], "value": "89", "flags": [true, false, false, false], "masses": {"86": "1/2", "92": "1/2"}, "paths": [["86", "1/2"], ["92", "1/2"]]}}, {"id": "a77-outcome-005", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7005, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 89 units with mass 1/2; value 95 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 92 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7005: 92 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7005, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 89 units with mass 1/2; value 95 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 92 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 92 units is mean-outcome(R7005).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "simulated inventory", "boundary": "mean-outside", "variant": "0", "oracle": {"mean": "92", "modes": ["89", "95"], "value": "92", "flags": [true, false, false, false], "masses": {"89": "1/2", "95": "1/2"}, "paths": [["89", "1/2"], ["95", "1/2"]]}}, {"id": "a77-outcome-006", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7006, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 92 units with mass 1/2; value 98 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 95 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7006: 95 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7006, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 92 units with mass 1/2; value 98 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 95 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 95 units is mean-outcome(R7006).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "generated batch size", "boundary": "mean-outside", "variant": "0", "oracle": {"mean": "95", "modes": ["92", "98"], "value": "95", "flags": [true, false, false, false], "masses": {"92": "1/2", "98": "1/2"}, "paths": [["92", "1/2"], ["98", "1/2"]]}}, {"id": "a77-outcome-007", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7007, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 102 units with mass 1/2; value 108 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 105 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7007: 105 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7007, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 102 units with mass 1/2; value 108 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 105 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 105 units is mean-outcome(R7007).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "toy output", "boundary": "mean-outside", "variant": "1", "oracle": {"mean": "105", "modes": ["102", "108"], "value": "105", "flags": [true, false, false, false], "masses": {"102": "1/2", "108": "1/2"}, "paths": [["102", "1/2"], ["108", "1/2"]]}}, {"id": "a77-outcome-008", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7008, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 105 units with mass 1/2; value 111 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 108 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7008: 108 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7008, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 105 units with mass 1/2; value 111 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 108 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 108 units is mean-outcome(R7008).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "queue delay", "boundary": "mean-outside", "variant": "1", "oracle": {"mean": "108", "modes": ["105", "111"], "value": "108", "flags": [true, false, false, false], "masses": {"105": "1/2", "111": "1/2"}, "paths": [["105", "1/2"], ["111", "1/2"]]}}, {"id": "a77-outcome-009", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7009, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 108 units with mass 1/2; value 114 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 111 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7009: 111 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7009, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 108 units with mass 1/2; value 114 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 111 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 111 units is mean-outcome(R7009).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "retry count", "boundary": "mean-outside", "variant": "1", "oracle": {"mean": "111", "modes": ["108", "114"], "value": "111", "flags": [true, false, false, false], "masses": {"108": "1/2", "114": "1/2"}, "paths": [["108", "1/2"], ["114", "1/2"]]}}, {"id": "a77-outcome-010", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7010, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 118 units with mass 1/2; value 124 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 121 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7010: 121 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7010, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 118 units with mass 1/2; value 124 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 121 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 121 units is mean-outcome(R7010).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "resource use", "boundary": "mean-outside", "variant": "1", "oracle": {"mean": "121", "modes": ["118", "124"], "value": "121", "flags": [true, false, false, false], "masses": {"118": "1/2", "124": "1/2"}, "paths": [["118", "1/2"], ["124", "1/2"]]}}, {"id": "a77-outcome-011", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7011, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 121 units with mass 1/2; value 127 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 124 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7011: 124 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7011, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 121 units with mass 1/2; value 127 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 124 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 124 units is mean-outcome(R7011).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "simulated inventory", "boundary": "mean-outside", "variant": "1", "oracle": {"mean": "124", "modes": ["121", "127"], "value": "124", "flags": [true, false, false, false], "masses": {"121": "1/2", "127": "1/2"}, "paths": [["121", "1/2"], ["127", "1/2"]]}}, {"id": "a77-outcome-012", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7012, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 124 units with mass 1/2; value 130 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 127 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7012: 127 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7012, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 124 units with mass 1/2; value 130 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 127 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 127 units is mean-outcome(R7012).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "generated batch size", "boundary": "mean-outside", "variant": "1", "oracle": {"mean": "127", "modes": ["124", "130"], "value": "127", "flags": [true, false, false, false], "masses": {"124": "1/2", "130": "1/2"}, "paths": [["124", "1/2"], ["130", "1/2"]]}}, {"id": "a77-outcome-013", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7013, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 107 units with mass 1/2; value 113 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7013: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7013, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 107 units with mass 1/2; value 113 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7013).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "toy output", "boundary": "mean-outside", "variant": "2", "oracle": {"mean": "110", "modes": ["107", "113"], "value": "0", "flags": [false, false, false, false], "masses": {"107": "1/2", "113": "1/2"}, "paths": [["107", "1/2"], ["113", "1/2"]]}}, {"id": "a77-outcome-014", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7014, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 110 units with mass 1/2; value 116 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7014: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7014, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 110 units with mass 1/2; value 116 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7014).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "queue delay", "boundary": "mean-outside", "variant": "2", "oracle": {"mean": "113", "modes": ["110", "116"], "value": "0", "flags": [false, false, false, false], "masses": {"110": "1/2", "116": "1/2"}, "paths": [["110", "1/2"], ["116", "1/2"]]}}, {"id": "a77-outcome-015", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7015, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 113 units with mass 1/2; value 119 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7015: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7015, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 113 units with mass 1/2; value 119 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7015).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "retry count", "boundary": "mean-outside", "variant": "2", "oracle": {"mean": "116", "modes": ["113", "119"], "value": "0", "flags": [false, false, false, false], "masses": {"113": "1/2", "119": "1/2"}, "paths": [["113", "1/2"], ["119", "1/2"]]}}, {"id": "a77-outcome-016", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7016, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 123 units with mass 1/2; value 129 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7016: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7016, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 123 units with mass 1/2; value 129 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7016).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "resource use", "boundary": "mean-outside", "variant": "2", "oracle": {"mean": "126", "modes": ["123", "129"], "value": "0", "flags": [false, false, false, false], "masses": {"123": "1/2", "129": "1/2"}, "paths": [["123", "1/2"], ["129", "1/2"]]}}, {"id": "a77-outcome-017", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7017, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 126 units with mass 1/2; value 132 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7017: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7017, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 126 units with mass 1/2; value 132 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7017).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "simulated inventory", "boundary": "mean-outside", "variant": "2", "oracle": {"mean": "129", "modes": ["126", "132"], "value": "0", "flags": [false, false, false, false], "masses": {"126": "1/2", "132": "1/2"}, "paths": [["126", "1/2"], ["132", "1/2"]]}}, {"id": "a77-outcome-018", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7018, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 129 units with mass 1/2; value 135 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7018: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7018, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 129 units with mass 1/2; value 135 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7018).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "generated batch size", "boundary": "mean-outside", "variant": "2", "oracle": {"mean": "132", "modes": ["129", "135"], "value": "0", "flags": [false, false, false, false], "masses": {"129": "1/2", "135": "1/2"}, "paths": [["129", "1/2"], ["135", "1/2"]]}}, {"id": "a77-outcome-019", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7019, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 139 units with mass 1/2; value 145 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7019: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7019, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 139 units with mass 1/2; value 145 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7019).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "toy output", "boundary": "mean-outside", "variant": "3", "oracle": {"mean": "142", "modes": ["139", "145"], "value": "0", "flags": [false, false, false, false], "masses": {"139": "1/2", "145": "1/2"}, "paths": [["139", "1/2"], ["145", "1/2"]]}}, {"id": "a77-outcome-020", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7020, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 142 units with mass 1/2; value 148 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7020: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7020, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 142 units with mass 1/2; value 148 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7020).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "queue delay", "boundary": "mean-outside", "variant": "3", "oracle": {"mean": "145", "modes": ["142", "148"], "value": "0", "flags": [false, false, false, false], "masses": {"142": "1/2", "148": "1/2"}, "paths": [["142", "1/2"], ["148", "1/2"]]}}, {"id": "a77-outcome-021", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7021, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 145 units with mass 1/2; value 151 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7021: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7021, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 145 units with mass 1/2; value 151 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7021).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "retry count", "boundary": "mean-outside", "variant": "3", "oracle": {"mean": "148", "modes": ["145", "151"], "value": "0", "flags": [false, false, false, false], "masses": {"145": "1/2", "151": "1/2"}, "paths": [["145", "1/2"], ["151", "1/2"]]}}, {"id": "a77-outcome-022", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7022, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 155 units with mass 1/2; value 161 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7022: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7022, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 155 units with mass 1/2; value 161 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7022).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "resource use", "boundary": "mean-outside", "variant": "3", "oracle": {"mean": "158", "modes": ["155", "161"], "value": "0", "flags": [false, false, false, false], "masses": {"155": "1/2", "161": "1/2"}, "paths": [["155", "1/2"], ["161", "1/2"]]}}, {"id": "a77-outcome-023", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7023, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 158 units with mass 1/2; value 164 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7023: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7023, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 158 units with mass 1/2; value 164 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7023).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "simulated inventory", "boundary": "mean-outside", "variant": "3", "oracle": {"mean": "161", "modes": ["158", "164"], "value": "0", "flags": [false, false, false, false], "masses": {"158": "1/2", "164": "1/2"}, "paths": [["158", "1/2"], ["164", "1/2"]]}}, {"id": "a77-outcome-024", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7024, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 161 units with mass 1/2; value 167 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7024: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7024, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 161 units with mass 1/2; value 167 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7024).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "generated batch size", "boundary": "mean-outside", "variant": "3", "oracle": {"mean": "164", "modes": ["161", "167"], "value": "0", "flags": [false, false, false, false], "masses": {"161": "1/2", "167": "1/2"}, "paths": [["161", "1/2"], ["167", "1/2"]]}}, {"id": "a77-outcome-025", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7025, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 70 units with mass 2/5; value 72 units with mass 3/10; value 75 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 721/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7025: 721/10 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7025, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 70 units with mass 2/5; value 72 units with mass 3/10; value 75 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 721/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 721/10 units is mean-outcome(R7025).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "toy output", "boundary": "mode-below-half", "variant": "0", "oracle": {"mean": "721/10", "modes": ["70"], "value": "721/10", "flags": [true, false, false, false], "masses": {"70": "2/5", "72": "3/10", "75": "3/10"}, "paths": [["70", "2/5"], ["72", "3/10"], ["75", "3/10"]]}}, {"id": "a77-outcome-026", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7026, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 73 units with mass 2/5; value 75 units with mass 3/10; value 78 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 751/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7026: 751/10 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7026, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 73 units with mass 2/5; value 75 units with mass 3/10; value 78 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 751/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 751/10 units is mean-outcome(R7026).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "queue delay", "boundary": "mode-below-half", "variant": "0", "oracle": {"mean": "751/10", "modes": ["73"], "value": "751/10", "flags": [true, false, false, false], "masses": {"73": "2/5", "75": "3/10", "78": "3/10"}, "paths": [["73", "2/5"], ["75", "3/10"], ["78", "3/10"]]}}, {"id": "a77-outcome-027", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7027, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 76 units with mass 2/5; value 78 units with mass 3/10; value 81 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 781/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7027: 781/10 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7027, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 76 units with mass 2/5; value 78 units with mass 3/10; value 81 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 781/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 781/10 units is mean-outcome(R7027).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "retry count", "boundary": "mode-below-half", "variant": "0", "oracle": {"mean": "781/10", "modes": ["76"], "value": "781/10", "flags": [true, false, false, false], "masses": {"76": "2/5", "78": "3/10", "81": "3/10"}, "paths": [["76", "2/5"], ["78", "3/10"], ["81", "3/10"]]}}, {"id": "a77-outcome-028", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7028, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 86 units with mass 2/5; value 88 units with mass 3/10; value 91 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 881/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7028: 881/10 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7028, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 86 units with mass 2/5; value 88 units with mass 3/10; value 91 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 881/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 881/10 units is mean-outcome(R7028).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "resource use", "boundary": "mode-below-half", "variant": "0", "oracle": {"mean": "881/10", "modes": ["86"], "value": "881/10", "flags": [true, false, false, false], "masses": {"86": "2/5", "88": "3/10", "91": "3/10"}, "paths": [["86", "2/5"], ["88", "3/10"], ["91", "3/10"]]}}, {"id": "a77-outcome-029", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7029, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 89 units with mass 2/5; value 91 units with mass 3/10; value 94 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 911/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7029: 911/10 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7029, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 89 units with mass 2/5; value 91 units with mass 3/10; value 94 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 911/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 911/10 units is mean-outcome(R7029).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "simulated inventory", "boundary": "mode-below-half", "variant": "0", "oracle": {"mean": "911/10", "modes": ["89"], "value": "911/10", "flags": [true, false, false, false], "masses": {"89": "2/5", "91": "3/10", "94": "3/10"}, "paths": [["89", "2/5"], ["91", "3/10"], ["94", "3/10"]]}}, {"id": "a77-outcome-030", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7030, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 92 units with mass 2/5; value 94 units with mass 3/10; value 97 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 941/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7030: 941/10 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7030, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 92 units with mass 2/5; value 94 units with mass 3/10; value 97 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 941/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 941/10 units is mean-outcome(R7030).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "generated batch size", "boundary": "mode-below-half", "variant": "0", "oracle": {"mean": "941/10", "modes": ["92"], "value": "941/10", "flags": [true, false, false, false], "masses": {"92": "2/5", "94": "3/10", "97": "3/10"}, "paths": [["92", "2/5"], ["94", "3/10"], ["97", "3/10"]]}}, {"id": "a77-outcome-031", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7031, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 102 units with mass 2/5; value 104 units with mass 3/10; value 107 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 1041/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7031: 1041/10 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7031, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 102 units with mass 2/5; value 104 units with mass 3/10; value 107 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 1041/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 1041/10 units is mean-outcome(R7031).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "toy output", "boundary": "mode-below-half", "variant": "1", "oracle": {"mean": "1041/10", "modes": ["102"], "value": "1041/10", "flags": [true, false, false, false], "masses": {"102": "2/5", "104": "3/10", "107": "3/10"}, "paths": [["102", "2/5"], ["104", "3/10"], ["107", "3/10"]]}}, {"id": "a77-outcome-032", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7032, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 105 units with mass 2/5; value 107 units with mass 3/10; value 110 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 1071/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7032: 1071/10 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7032, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 105 units with mass 2/5; value 107 units with mass 3/10; value 110 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 1071/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 1071/10 units is mean-outcome(R7032).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "queue delay", "boundary": "mode-below-half", "variant": "1", "oracle": {"mean": "1071/10", "modes": ["105"], "value": "1071/10", "flags": [true, false, false, false], "masses": {"105": "2/5", "107": "3/10", "110": "3/10"}, "paths": [["105", "2/5"], ["107", "3/10"], ["110", "3/10"]]}}, {"id": "a77-outcome-033", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7033, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 108 units with mass 2/5; value 110 units with mass 3/10; value 113 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 1101/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7033: 1101/10 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7033, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 108 units with mass 2/5; value 110 units with mass 3/10; value 113 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 1101/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 1101/10 units is mean-outcome(R7033).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "retry count", "boundary": "mode-below-half", "variant": "1", "oracle": {"mean": "1101/10", "modes": ["108"], "value": "1101/10", "flags": [true, false, false, false], "masses": {"108": "2/5", "110": "3/10", "113": "3/10"}, "paths": [["108", "2/5"], ["110", "3/10"], ["113", "3/10"]]}}, {"id": "a77-outcome-034", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7034, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 118 units with mass 2/5; value 120 units with mass 3/10; value 123 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 1201/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7034: 1201/10 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7034, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 118 units with mass 2/5; value 120 units with mass 3/10; value 123 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 1201/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 1201/10 units is mean-outcome(R7034).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "resource use", "boundary": "mode-below-half", "variant": "1", "oracle": {"mean": "1201/10", "modes": ["118"], "value": "1201/10", "flags": [true, false, false, false], "masses": {"118": "2/5", "120": "3/10", "123": "3/10"}, "paths": [["118", "2/5"], ["120", "3/10"], ["123", "3/10"]]}}, {"id": "a77-outcome-035", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7035, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 121 units with mass 2/5; value 123 units with mass 3/10; value 126 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 1231/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7035: 1231/10 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7035, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 121 units with mass 2/5; value 123 units with mass 3/10; value 126 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 1231/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 1231/10 units is mean-outcome(R7035).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "simulated inventory", "boundary": "mode-below-half", "variant": "1", "oracle": {"mean": "1231/10", "modes": ["121"], "value": "1231/10", "flags": [true, false, false, false], "masses": {"121": "2/5", "123": "3/10", "126": "3/10"}, "paths": [["121", "2/5"], ["123", "3/10"], ["126", "3/10"]]}}, {"id": "a77-outcome-036", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7036, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 124 units with mass 2/5; value 126 units with mass 3/10; value 129 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 1261/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7036: 1261/10 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7036, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 124 units with mass 2/5; value 126 units with mass 3/10; value 129 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 1261/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 1261/10 units is mean-outcome(R7036).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "generated batch size", "boundary": "mode-below-half", "variant": "1", "oracle": {"mean": "1261/10", "modes": ["124"], "value": "1261/10", "flags": [true, false, false, false], "masses": {"124": "2/5", "126": "3/10", "129": "3/10"}, "paths": [["124", "2/5"], ["126", "3/10"], ["129", "3/10"]]}}, {"id": "a77-outcome-037", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7037, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 107 units with mass 2/5; value 109 units with mass 3/10; value 112 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7037: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7037, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 107 units with mass 2/5; value 109 units with mass 3/10; value 112 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7037).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "toy output", "boundary": "mode-below-half", "variant": "2", "oracle": {"mean": "1091/10", "modes": ["107"], "value": "0", "flags": [false, false, false, false], "masses": {"107": "2/5", "109": "3/10", "112": "3/10"}, "paths": [["107", "2/5"], ["109", "3/10"], ["112", "3/10"]]}}, {"id": "a77-outcome-038", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7038, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 110 units with mass 2/5; value 112 units with mass 3/10; value 115 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7038: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7038, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 110 units with mass 2/5; value 112 units with mass 3/10; value 115 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7038).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "queue delay", "boundary": "mode-below-half", "variant": "2", "oracle": {"mean": "1121/10", "modes": ["110"], "value": "0", "flags": [false, false, false, false], "masses": {"110": "2/5", "112": "3/10", "115": "3/10"}, "paths": [["110", "2/5"], ["112", "3/10"], ["115", "3/10"]]}}, {"id": "a77-outcome-039", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7039, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 113 units with mass 2/5; value 115 units with mass 3/10; value 118 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7039: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7039, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 113 units with mass 2/5; value 115 units with mass 3/10; value 118 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7039).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "retry count", "boundary": "mode-below-half", "variant": "2", "oracle": {"mean": "1151/10", "modes": ["113"], "value": "0", "flags": [false, false, false, false], "masses": {"113": "2/5", "115": "3/10", "118": "3/10"}, "paths": [["113", "2/5"], ["115", "3/10"], ["118", "3/10"]]}}, {"id": "a77-outcome-040", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7040, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 123 units with mass 2/5; value 125 units with mass 3/10; value 128 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7040: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7040, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 123 units with mass 2/5; value 125 units with mass 3/10; value 128 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7040).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "resource use", "boundary": "mode-below-half", "variant": "2", "oracle": {"mean": "1251/10", "modes": ["123"], "value": "0", "flags": [false, false, false, false], "masses": {"123": "2/5", "125": "3/10", "128": "3/10"}, "paths": [["123", "2/5"], ["125", "3/10"], ["128", "3/10"]]}}, {"id": "a77-outcome-041", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7041, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 126 units with mass 2/5; value 128 units with mass 3/10; value 131 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7041: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7041, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 126 units with mass 2/5; value 128 units with mass 3/10; value 131 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7041).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "simulated inventory", "boundary": "mode-below-half", "variant": "2", "oracle": {"mean": "1281/10", "modes": ["126"], "value": "0", "flags": [false, false, false, false], "masses": {"126": "2/5", "128": "3/10", "131": "3/10"}, "paths": [["126", "2/5"], ["128", "3/10"], ["131", "3/10"]]}}, {"id": "a77-outcome-042", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7042, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 129 units with mass 2/5; value 131 units with mass 3/10; value 134 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7042: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7042, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 129 units with mass 2/5; value 131 units with mass 3/10; value 134 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7042).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "generated batch size", "boundary": "mode-below-half", "variant": "2", "oracle": {"mean": "1311/10", "modes": ["129"], "value": "0", "flags": [false, false, false, false], "masses": {"129": "2/5", "131": "3/10", "134": "3/10"}, "paths": [["129", "2/5"], ["131", "3/10"], ["134", "3/10"]]}}, {"id": "a77-outcome-043", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7043, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 139 units with mass 2/5; value 141 units with mass 3/10; value 144 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7043: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7043, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 139 units with mass 2/5; value 141 units with mass 3/10; value 144 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7043).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "toy output", "boundary": "mode-below-half", "variant": "3", "oracle": {"mean": "1411/10", "modes": ["139"], "value": "0", "flags": [false, false, false, false], "masses": {"139": "2/5", "141": "3/10", "144": "3/10"}, "paths": [["139", "2/5"], ["141", "3/10"], ["144", "3/10"]]}}, {"id": "a77-outcome-044", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7044, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 142 units with mass 2/5; value 144 units with mass 3/10; value 147 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7044: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7044, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 142 units with mass 2/5; value 144 units with mass 3/10; value 147 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7044).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "queue delay", "boundary": "mode-below-half", "variant": "3", "oracle": {"mean": "1441/10", "modes": ["142"], "value": "0", "flags": [false, false, false, false], "masses": {"142": "2/5", "144": "3/10", "147": "3/10"}, "paths": [["142", "2/5"], ["144", "3/10"], ["147", "3/10"]]}}, {"id": "a77-outcome-045", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7045, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 145 units with mass 2/5; value 147 units with mass 3/10; value 150 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7045: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7045, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 145 units with mass 2/5; value 147 units with mass 3/10; value 150 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7045).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "retry count", "boundary": "mode-below-half", "variant": "3", "oracle": {"mean": "1471/10", "modes": ["145"], "value": "0", "flags": [false, false, false, false], "masses": {"145": "2/5", "147": "3/10", "150": "3/10"}, "paths": [["145", "2/5"], ["147", "3/10"], ["150", "3/10"]]}}, {"id": "a77-outcome-046", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7046, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 155 units with mass 2/5; value 157 units with mass 3/10; value 160 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7046: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7046, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 155 units with mass 2/5; value 157 units with mass 3/10; value 160 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7046).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "resource use", "boundary": "mode-below-half", "variant": "3", "oracle": {"mean": "1571/10", "modes": ["155"], "value": "0", "flags": [false, false, false, false], "masses": {"155": "2/5", "157": "3/10", "160": "3/10"}, "paths": [["155", "2/5"], ["157", "3/10"], ["160", "3/10"]]}}, {"id": "a77-outcome-047", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7047, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 158 units with mass 2/5; value 160 units with mass 3/10; value 163 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7047: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7047, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 158 units with mass 2/5; value 160 units with mass 3/10; value 163 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7047).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "simulated inventory", "boundary": "mode-below-half", "variant": "3", "oracle": {"mean": "1601/10", "modes": ["158"], "value": "0", "flags": [false, false, false, false], "masses": {"158": "2/5", "160": "3/10", "163": "3/10"}, "paths": [["158", "2/5"], ["160", "3/10"], ["163", "3/10"]]}}, {"id": "a77-outcome-048", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7048, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 161 units with mass 2/5; value 163 units with mass 3/10; value 166 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7048: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7048, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 161 units with mass 2/5; value 163 units with mass 3/10; value 166 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7048).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "generated batch size", "boundary": "mode-below-half", "variant": "3", "oracle": {"mean": "1631/10", "modes": ["161"], "value": "0", "flags": [false, false, false, false], "masses": {"161": "2/5", "163": "3/10", "166": "3/10"}, "paths": [["161", "2/5"], ["163", "3/10"], ["166", "3/10"]]}}, {"id": "a77-outcome-049", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7049, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 70 units with mass 2/5; value 72 units with mass 2/5; value 76 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 72 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7049: 72 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7049, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 70 units with mass 2/5; value 72 units with mass 2/5; value 76 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 72 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 72 units is mean-outcome(R7049).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "toy output", "boundary": "tied-modes", "variant": "0", "oracle": {"mean": "72", "modes": ["70", "72"], "value": "72", "flags": [true, true, false, false], "masses": {"70": "2/5", "72": "2/5", "76": "1/5"}, "paths": [["70", "2/5"], ["72", "2/5"], ["76", "1/5"]]}}, {"id": "a77-outcome-050", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7050, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 73 units with mass 2/5; value 75 units with mass 2/5; value 79 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 75 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7050: 75 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7050, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 73 units with mass 2/5; value 75 units with mass 2/5; value 79 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 75 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 75 units is mean-outcome(R7050).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "queue delay", "boundary": "tied-modes", "variant": "0", "oracle": {"mean": "75", "modes": ["73", "75"], "value": "75", "flags": [true, true, false, false], "masses": {"73": "2/5", "75": "2/5", "79": "1/5"}, "paths": [["73", "2/5"], ["75", "2/5"], ["79", "1/5"]]}}, {"id": "a77-outcome-051", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7051, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 76 units with mass 2/5; value 78 units with mass 2/5; value 82 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 78 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7051: 78 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7051, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 76 units with mass 2/5; value 78 units with mass 2/5; value 82 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 78 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 78 units is mean-outcome(R7051).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "retry count", "boundary": "tied-modes", "variant": "0", "oracle": {"mean": "78", "modes": ["76", "78"], "value": "78", "flags": [true, true, false, false], "masses": {"76": "2/5", "78": "2/5", "82": "1/5"}, "paths": [["76", "2/5"], ["78", "2/5"], ["82", "1/5"]]}}, {"id": "a77-outcome-052", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7052, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 86 units with mass 2/5; value 88 units with mass 2/5; value 92 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 88 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7052: 88 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7052, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 86 units with mass 2/5; value 88 units with mass 2/5; value 92 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 88 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 88 units is mean-outcome(R7052).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "resource use", "boundary": "tied-modes", "variant": "0", "oracle": {"mean": "88", "modes": ["86", "88"], "value": "88", "flags": [true, true, false, false], "masses": {"86": "2/5", "88": "2/5", "92": "1/5"}, "paths": [["86", "2/5"], ["88", "2/5"], ["92", "1/5"]]}}, {"id": "a77-outcome-053", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7053, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 89 units with mass 2/5; value 91 units with mass 2/5; value 95 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 91 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7053: 91 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7053, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 89 units with mass 2/5; value 91 units with mass 2/5; value 95 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 91 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 91 units is mean-outcome(R7053).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "simulated inventory", "boundary": "tied-modes", "variant": "0", "oracle": {"mean": "91", "modes": ["89", "91"], "value": "91", "flags": [true, true, false, false], "masses": {"89": "2/5", "91": "2/5", "95": "1/5"}, "paths": [["89", "2/5"], ["91", "2/5"], ["95", "1/5"]]}}, {"id": "a77-outcome-054", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7054, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 92 units with mass 2/5; value 94 units with mass 2/5; value 98 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 94 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7054: 94 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7054, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 92 units with mass 2/5; value 94 units with mass 2/5; value 98 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 94 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 94 units is mean-outcome(R7054).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "generated batch size", "boundary": "tied-modes", "variant": "0", "oracle": {"mean": "94", "modes": ["92", "94"], "value": "94", "flags": [true, true, false, false], "masses": {"92": "2/5", "94": "2/5", "98": "1/5"}, "paths": [["92", "2/5"], ["94", "2/5"], ["98", "1/5"]]}}, {"id": "a77-outcome-055", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7055, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 102 units with mass 2/5; value 104 units with mass 2/5; value 108 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 104 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7055: 104 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7055, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 102 units with mass 2/5; value 104 units with mass 2/5; value 108 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 104 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 104 units is mean-outcome(R7055).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "toy output", "boundary": "tied-modes", "variant": "1", "oracle": {"mean": "104", "modes": ["102", "104"], "value": "104", "flags": [true, true, false, false], "masses": {"102": "2/5", "104": "2/5", "108": "1/5"}, "paths": [["102", "2/5"], ["104", "2/5"], ["108", "1/5"]]}}, {"id": "a77-outcome-056", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7056, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 105 units with mass 2/5; value 107 units with mass 2/5; value 111 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 107 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7056: 107 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7056, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 105 units with mass 2/5; value 107 units with mass 2/5; value 111 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 107 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 107 units is mean-outcome(R7056).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "queue delay", "boundary": "tied-modes", "variant": "1", "oracle": {"mean": "107", "modes": ["105", "107"], "value": "107", "flags": [true, true, false, false], "masses": {"105": "2/5", "107": "2/5", "111": "1/5"}, "paths": [["105", "2/5"], ["107", "2/5"], ["111", "1/5"]]}}, {"id": "a77-outcome-057", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7057, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 108 units with mass 2/5; value 110 units with mass 2/5; value 114 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 110 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7057: 110 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7057, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 108 units with mass 2/5; value 110 units with mass 2/5; value 114 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 110 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 110 units is mean-outcome(R7057).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "retry count", "boundary": "tied-modes", "variant": "1", "oracle": {"mean": "110", "modes": ["108", "110"], "value": "110", "flags": [true, true, false, false], "masses": {"108": "2/5", "110": "2/5", "114": "1/5"}, "paths": [["108", "2/5"], ["110", "2/5"], ["114", "1/5"]]}}, {"id": "a77-outcome-058", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7058, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 118 units with mass 2/5; value 120 units with mass 2/5; value 124 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 120 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7058: 120 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7058, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 118 units with mass 2/5; value 120 units with mass 2/5; value 124 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 120 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 120 units is mean-outcome(R7058).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "resource use", "boundary": "tied-modes", "variant": "1", "oracle": {"mean": "120", "modes": ["118", "120"], "value": "120", "flags": [true, true, false, false], "masses": {"118": "2/5", "120": "2/5", "124": "1/5"}, "paths": [["118", "2/5"], ["120", "2/5"], ["124", "1/5"]]}}, {"id": "a77-outcome-059", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7059, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 121 units with mass 2/5; value 123 units with mass 2/5; value 127 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 123 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7059: 123 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7059, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 121 units with mass 2/5; value 123 units with mass 2/5; value 127 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 123 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 123 units is mean-outcome(R7059).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "simulated inventory", "boundary": "tied-modes", "variant": "1", "oracle": {"mean": "123", "modes": ["121", "123"], "value": "123", "flags": [true, true, false, false], "masses": {"121": "2/5", "123": "2/5", "127": "1/5"}, "paths": [["121", "2/5"], ["123", "2/5"], ["127", "1/5"]]}}, {"id": "a77-outcome-060", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7060, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 124 units with mass 2/5; value 126 units with mass 2/5; value 130 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 126 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7060: 126 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7060, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 124 units with mass 2/5; value 126 units with mass 2/5; value 130 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 126 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 126 units is mean-outcome(R7060).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "generated batch size", "boundary": "tied-modes", "variant": "1", "oracle": {"mean": "126", "modes": ["124", "126"], "value": "126", "flags": [true, true, false, false], "masses": {"124": "2/5", "126": "2/5", "130": "1/5"}, "paths": [["124", "2/5"], ["126", "2/5"], ["130", "1/5"]]}}, {"id": "a77-outcome-061", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7061, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 107 units with mass 2/5; value 109 units with mass 2/5; value 113 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7061: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7061, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 107 units with mass 2/5; value 109 units with mass 2/5; value 113 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7061).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "toy output", "boundary": "tied-modes", "variant": "2", "oracle": {"mean": "109", "modes": ["107", "109"], "value": "0", "flags": [false, false, false, false], "masses": {"107": "2/5", "109": "2/5", "113": "1/5"}, "paths": [["107", "2/5"], ["109", "2/5"], ["113", "1/5"]]}}, {"id": "a77-outcome-062", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7062, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 110 units with mass 2/5; value 112 units with mass 2/5; value 116 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7062: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7062, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 110 units with mass 2/5; value 112 units with mass 2/5; value 116 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7062).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "queue delay", "boundary": "tied-modes", "variant": "2", "oracle": {"mean": "112", "modes": ["110", "112"], "value": "0", "flags": [false, false, false, false], "masses": {"110": "2/5", "112": "2/5", "116": "1/5"}, "paths": [["110", "2/5"], ["112", "2/5"], ["116", "1/5"]]}}, {"id": "a77-outcome-063", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7063, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 113 units with mass 2/5; value 115 units with mass 2/5; value 119 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7063: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7063, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 113 units with mass 2/5; value 115 units with mass 2/5; value 119 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7063).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "retry count", "boundary": "tied-modes", "variant": "2", "oracle": {"mean": "115", "modes": ["113", "115"], "value": "0", "flags": [false, false, false, false], "masses": {"113": "2/5", "115": "2/5", "119": "1/5"}, "paths": [["113", "2/5"], ["115", "2/5"], ["119", "1/5"]]}}, {"id": "a77-outcome-064", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7064, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 123 units with mass 2/5; value 125 units with mass 2/5; value 129 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7064: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7064, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 123 units with mass 2/5; value 125 units with mass 2/5; value 129 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7064).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "resource use", "boundary": "tied-modes", "variant": "2", "oracle": {"mean": "125", "modes": ["123", "125"], "value": "0", "flags": [false, false, false, false], "masses": {"123": "2/5", "125": "2/5", "129": "1/5"}, "paths": [["123", "2/5"], ["125", "2/5"], ["129", "1/5"]]}}, {"id": "a77-outcome-065", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7065, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 126 units with mass 2/5; value 128 units with mass 2/5; value 132 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7065: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7065, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 126 units with mass 2/5; value 128 units with mass 2/5; value 132 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7065).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "simulated inventory", "boundary": "tied-modes", "variant": "2", "oracle": {"mean": "128", "modes": ["126", "128"], "value": "0", "flags": [false, false, false, false], "masses": {"126": "2/5", "128": "2/5", "132": "1/5"}, "paths": [["126", "2/5"], ["128", "2/5"], ["132", "1/5"]]}}, {"id": "a77-outcome-066", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7066, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 129 units with mass 2/5; value 131 units with mass 2/5; value 135 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7066: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7066, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 129 units with mass 2/5; value 131 units with mass 2/5; value 135 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7066).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "generated batch size", "boundary": "tied-modes", "variant": "2", "oracle": {"mean": "131", "modes": ["129", "131"], "value": "0", "flags": [false, false, false, false], "masses": {"129": "2/5", "131": "2/5", "135": "1/5"}, "paths": [["129", "2/5"], ["131", "2/5"], ["135", "1/5"]]}}, {"id": "a77-outcome-067", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7067, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 139 units with mass 2/5; value 141 units with mass 2/5; value 145 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7067: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7067, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 139 units with mass 2/5; value 141 units with mass 2/5; value 145 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7067).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "toy output", "boundary": "tied-modes", "variant": "3", "oracle": {"mean": "141", "modes": ["139", "141"], "value": "0", "flags": [false, false, false, false], "masses": {"139": "2/5", "141": "2/5", "145": "1/5"}, "paths": [["139", "2/5"], ["141", "2/5"], ["145", "1/5"]]}}, {"id": "a77-outcome-068", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7068, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 142 units with mass 2/5; value 144 units with mass 2/5; value 148 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7068: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7068, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 142 units with mass 2/5; value 144 units with mass 2/5; value 148 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7068).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "queue delay", "boundary": "tied-modes", "variant": "3", "oracle": {"mean": "144", "modes": ["142", "144"], "value": "0", "flags": [false, false, false, false], "masses": {"142": "2/5", "144": "2/5", "148": "1/5"}, "paths": [["142", "2/5"], ["144", "2/5"], ["148", "1/5"]]}}, {"id": "a77-outcome-069", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7069, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 145 units with mass 2/5; value 147 units with mass 2/5; value 151 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7069: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7069, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 145 units with mass 2/5; value 147 units with mass 2/5; value 151 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7069).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "retry count", "boundary": "tied-modes", "variant": "3", "oracle": {"mean": "147", "modes": ["145", "147"], "value": "0", "flags": [false, false, false, false], "masses": {"145": "2/5", "147": "2/5", "151": "1/5"}, "paths": [["145", "2/5"], ["147", "2/5"], ["151", "1/5"]]}}, {"id": "a77-outcome-070", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7070, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 155 units with mass 2/5; value 157 units with mass 2/5; value 161 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7070: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7070, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 155 units with mass 2/5; value 157 units with mass 2/5; value 161 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7070).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "resource use", "boundary": "tied-modes", "variant": "3", "oracle": {"mean": "157", "modes": ["155", "157"], "value": "0", "flags": [false, false, false, false], "masses": {"155": "2/5", "157": "2/5", "161": "1/5"}, "paths": [["155", "2/5"], ["157", "2/5"], ["161", "1/5"]]}}, {"id": "a77-outcome-071", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7071, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 158 units with mass 2/5; value 160 units with mass 2/5; value 164 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7071: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7071, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 158 units with mass 2/5; value 160 units with mass 2/5; value 164 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7071).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "simulated inventory", "boundary": "tied-modes", "variant": "3", "oracle": {"mean": "160", "modes": ["158", "160"], "value": "0", "flags": [false, false, false, false], "masses": {"158": "2/5", "160": "2/5", "164": "1/5"}, "paths": [["158", "2/5"], ["160", "2/5"], ["164", "1/5"]]}}, {"id": "a77-outcome-072", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7072, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 161 units with mass 2/5; value 163 units with mass 2/5; value 167 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7072: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7072, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 161 units with mass 2/5; value 163 units with mass 2/5; value 167 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7072).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "generated batch size", "boundary": "tied-modes", "variant": "3", "oracle": {"mean": "163", "modes": ["161", "163"], "value": "0", "flags": [false, false, false, false], "masses": {"161": "2/5", "163": "2/5", "167": "1/5"}, "paths": [["161", "2/5"], ["163", "2/5"], ["167", "1/5"]]}}, {"id": "a77-outcome-073", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7073, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 70 units with mass 1/4; value 72 units with mass 1/2; value 74 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 72 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7073: 72 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7073, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 70 units with mass 1/4; value 72 units with mass 1/2; value 74 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 72 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 72 units is mean-outcome(R7073).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "toy output", "boundary": "mean-is-mode", "variant": "0", "oracle": {"mean": "72", "modes": ["72"], "value": "72", "flags": [true, true, true, false], "masses": {"70": "1/4", "72": "1/2", "74": "1/4"}, "paths": [["70", "1/4"], ["72", "1/2"], ["74", "1/4"]]}}, {"id": "a77-outcome-074", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7074, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 73 units with mass 1/4; value 75 units with mass 1/2; value 77 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 75 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7074: 75 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7074, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 73 units with mass 1/4; value 75 units with mass 1/2; value 77 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 75 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 75 units is mean-outcome(R7074).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "queue delay", "boundary": "mean-is-mode", "variant": "0", "oracle": {"mean": "75", "modes": ["75"], "value": "75", "flags": [true, true, true, false], "masses": {"73": "1/4", "75": "1/2", "77": "1/4"}, "paths": [["73", "1/4"], ["75", "1/2"], ["77", "1/4"]]}}, {"id": "a77-outcome-075", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7075, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 76 units with mass 1/4; value 78 units with mass 1/2; value 80 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 78 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7075: 78 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7075, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 76 units with mass 1/4; value 78 units with mass 1/2; value 80 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 78 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 78 units is mean-outcome(R7075).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "retry count", "boundary": "mean-is-mode", "variant": "0", "oracle": {"mean": "78", "modes": ["78"], "value": "78", "flags": [true, true, true, false], "masses": {"76": "1/4", "78": "1/2", "80": "1/4"}, "paths": [["76", "1/4"], ["78", "1/2"], ["80", "1/4"]]}}, {"id": "a77-outcome-076", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7076, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 86 units with mass 1/4; value 88 units with mass 1/2; value 90 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 88 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7076: 88 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7076, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 86 units with mass 1/4; value 88 units with mass 1/2; value 90 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 88 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 88 units is mean-outcome(R7076).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "resource use", "boundary": "mean-is-mode", "variant": "0", "oracle": {"mean": "88", "modes": ["88"], "value": "88", "flags": [true, true, true, false], "masses": {"86": "1/4", "88": "1/2", "90": "1/4"}, "paths": [["86", "1/4"], ["88", "1/2"], ["90", "1/4"]]}}, {"id": "a77-outcome-077", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7077, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 89 units with mass 1/4; value 91 units with mass 1/2; value 93 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 91 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7077: 91 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7077, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 89 units with mass 1/4; value 91 units with mass 1/2; value 93 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 91 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 91 units is mean-outcome(R7077).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "simulated inventory", "boundary": "mean-is-mode", "variant": "0", "oracle": {"mean": "91", "modes": ["91"], "value": "91", "flags": [true, true, true, false], "masses": {"89": "1/4", "91": "1/2", "93": "1/4"}, "paths": [["89", "1/4"], ["91", "1/2"], ["93", "1/4"]]}}, {"id": "a77-outcome-078", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7078, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 92 units with mass 1/4; value 94 units with mass 1/2; value 96 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 94 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7078: 94 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7078, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 92 units with mass 1/4; value 94 units with mass 1/2; value 96 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 94 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 94 units is mean-outcome(R7078).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "generated batch size", "boundary": "mean-is-mode", "variant": "0", "oracle": {"mean": "94", "modes": ["94"], "value": "94", "flags": [true, true, true, false], "masses": {"92": "1/4", "94": "1/2", "96": "1/4"}, "paths": [["92", "1/4"], ["94", "1/2"], ["96", "1/4"]]}}, {"id": "a77-outcome-079", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7079, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 102 units with mass 1/4; value 104 units with mass 1/2; value 106 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 104 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7079: 104 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7079, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 102 units with mass 1/4; value 104 units with mass 1/2; value 106 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 104 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 104 units is mean-outcome(R7079).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "toy output", "boundary": "mean-is-mode", "variant": "1", "oracle": {"mean": "104", "modes": ["104"], "value": "104", "flags": [true, true, true, false], "masses": {"102": "1/4", "104": "1/2", "106": "1/4"}, "paths": [["102", "1/4"], ["104", "1/2"], ["106", "1/4"]]}}, {"id": "a77-outcome-080", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7080, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 105 units with mass 1/4; value 107 units with mass 1/2; value 109 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 107 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7080: 107 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7080, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 105 units with mass 1/4; value 107 units with mass 1/2; value 109 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 107 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 107 units is mean-outcome(R7080).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "queue delay", "boundary": "mean-is-mode", "variant": "1", "oracle": {"mean": "107", "modes": ["107"], "value": "107", "flags": [true, true, true, false], "masses": {"105": "1/4", "107": "1/2", "109": "1/4"}, "paths": [["105", "1/4"], ["107", "1/2"], ["109", "1/4"]]}}, {"id": "a77-outcome-081", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7081, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 108 units with mass 1/4; value 110 units with mass 1/2; value 112 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 110 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7081: 110 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7081, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 108 units with mass 1/4; value 110 units with mass 1/2; value 112 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 110 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 110 units is mean-outcome(R7081).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "retry count", "boundary": "mean-is-mode", "variant": "1", "oracle": {"mean": "110", "modes": ["110"], "value": "110", "flags": [true, true, true, false], "masses": {"108": "1/4", "110": "1/2", "112": "1/4"}, "paths": [["108", "1/4"], ["110", "1/2"], ["112", "1/4"]]}}, {"id": "a77-outcome-082", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7082, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 118 units with mass 1/4; value 120 units with mass 1/2; value 122 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 120 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7082: 120 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7082, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 118 units with mass 1/4; value 120 units with mass 1/2; value 122 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 120 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 120 units is mean-outcome(R7082).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "resource use", "boundary": "mean-is-mode", "variant": "1", "oracle": {"mean": "120", "modes": ["120"], "value": "120", "flags": [true, true, true, false], "masses": {"118": "1/4", "120": "1/2", "122": "1/4"}, "paths": [["118", "1/4"], ["120", "1/2"], ["122", "1/4"]]}}, {"id": "a77-outcome-083", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7083, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 121 units with mass 1/4; value 123 units with mass 1/2; value 125 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 123 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7083: 123 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7083, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 121 units with mass 1/4; value 123 units with mass 1/2; value 125 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 123 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 123 units is mean-outcome(R7083).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "simulated inventory", "boundary": "mean-is-mode", "variant": "1", "oracle": {"mean": "123", "modes": ["123"], "value": "123", "flags": [true, true, true, false], "masses": {"121": "1/4", "123": "1/2", "125": "1/4"}, "paths": [["121", "1/4"], ["123", "1/2"], ["125", "1/4"]]}}, {"id": "a77-outcome-084", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7084, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 124 units with mass 1/4; value 126 units with mass 1/2; value 128 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 126 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7084: 126 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7084, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 124 units with mass 1/4; value 126 units with mass 1/2; value 128 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 126 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 126 units is mean-outcome(R7084).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "generated batch size", "boundary": "mean-is-mode", "variant": "1", "oracle": {"mean": "126", "modes": ["126"], "value": "126", "flags": [true, true, true, false], "masses": {"124": "1/4", "126": "1/2", "128": "1/4"}, "paths": [["124", "1/4"], ["126", "1/2"], ["128", "1/4"]]}}, {"id": "a77-outcome-085", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7085, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 107 units with mass 1/4; value 109 units with mass 1/2; value 111 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7085: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7085, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 107 units with mass 1/4; value 109 units with mass 1/2; value 111 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7085).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "toy output", "boundary": "mean-is-mode", "variant": "2", "oracle": {"mean": "109", "modes": ["109"], "value": "0", "flags": [false, false, false, false], "masses": {"107": "1/4", "109": "1/2", "111": "1/4"}, "paths": [["107", "1/4"], ["109", "1/2"], ["111", "1/4"]]}}, {"id": "a77-outcome-086", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7086, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 110 units with mass 1/4; value 112 units with mass 1/2; value 114 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7086: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7086, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 110 units with mass 1/4; value 112 units with mass 1/2; value 114 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7086).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "queue delay", "boundary": "mean-is-mode", "variant": "2", "oracle": {"mean": "112", "modes": ["112"], "value": "0", "flags": [false, false, false, false], "masses": {"110": "1/4", "112": "1/2", "114": "1/4"}, "paths": [["110", "1/4"], ["112", "1/2"], ["114", "1/4"]]}}, {"id": "a77-outcome-087", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7087, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 113 units with mass 1/4; value 115 units with mass 1/2; value 117 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7087: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7087, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 113 units with mass 1/4; value 115 units with mass 1/2; value 117 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7087).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "retry count", "boundary": "mean-is-mode", "variant": "2", "oracle": {"mean": "115", "modes": ["115"], "value": "0", "flags": [false, false, false, false], "masses": {"113": "1/4", "115": "1/2", "117": "1/4"}, "paths": [["113", "1/4"], ["115", "1/2"], ["117", "1/4"]]}}, {"id": "a77-outcome-088", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7088, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 123 units with mass 1/4; value 125 units with mass 1/2; value 127 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7088: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7088, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 123 units with mass 1/4; value 125 units with mass 1/2; value 127 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7088).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "resource use", "boundary": "mean-is-mode", "variant": "2", "oracle": {"mean": "125", "modes": ["125"], "value": "0", "flags": [false, false, false, false], "masses": {"123": "1/4", "125": "1/2", "127": "1/4"}, "paths": [["123", "1/4"], ["125", "1/2"], ["127", "1/4"]]}}, {"id": "a77-outcome-089", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7089, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 126 units with mass 1/4; value 128 units with mass 1/2; value 130 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7089: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7089, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 126 units with mass 1/4; value 128 units with mass 1/2; value 130 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7089).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "simulated inventory", "boundary": "mean-is-mode", "variant": "2", "oracle": {"mean": "128", "modes": ["128"], "value": "0", "flags": [false, false, false, false], "masses": {"126": "1/4", "128": "1/2", "130": "1/4"}, "paths": [["126", "1/4"], ["128", "1/2"], ["130", "1/4"]]}}, {"id": "a77-outcome-090", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7090, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 129 units with mass 1/4; value 131 units with mass 1/2; value 133 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7090: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7090, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 129 units with mass 1/4; value 131 units with mass 1/2; value 133 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7090).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "generated batch size", "boundary": "mean-is-mode", "variant": "2", "oracle": {"mean": "131", "modes": ["131"], "value": "0", "flags": [false, false, false, false], "masses": {"129": "1/4", "131": "1/2", "133": "1/4"}, "paths": [["129", "1/4"], ["131", "1/2"], ["133", "1/4"]]}}, {"id": "a77-outcome-091", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7091, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 139 units with mass 1/4; value 141 units with mass 1/2; value 143 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7091: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7091, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 139 units with mass 1/4; value 141 units with mass 1/2; value 143 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7091).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "toy output", "boundary": "mean-is-mode", "variant": "3", "oracle": {"mean": "141", "modes": ["141"], "value": "0", "flags": [false, false, false, false], "masses": {"139": "1/4", "141": "1/2", "143": "1/4"}, "paths": [["139", "1/4"], ["141", "1/2"], ["143", "1/4"]]}}, {"id": "a77-outcome-092", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7092, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 142 units with mass 1/4; value 144 units with mass 1/2; value 146 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7092: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7092, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 142 units with mass 1/4; value 144 units with mass 1/2; value 146 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7092).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "queue delay", "boundary": "mean-is-mode", "variant": "3", "oracle": {"mean": "144", "modes": ["144"], "value": "0", "flags": [false, false, false, false], "masses": {"142": "1/4", "144": "1/2", "146": "1/4"}, "paths": [["142", "1/4"], ["144", "1/2"], ["146", "1/4"]]}}, {"id": "a77-outcome-093", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7093, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 145 units with mass 1/4; value 147 units with mass 1/2; value 149 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7093: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7093, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 145 units with mass 1/4; value 147 units with mass 1/2; value 149 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7093).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "retry count", "boundary": "mean-is-mode", "variant": "3", "oracle": {"mean": "147", "modes": ["147"], "value": "0", "flags": [false, false, false, false], "masses": {"145": "1/4", "147": "1/2", "149": "1/4"}, "paths": [["145", "1/4"], ["147", "1/2"], ["149", "1/4"]]}}, {"id": "a77-outcome-094", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7094, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 155 units with mass 1/4; value 157 units with mass 1/2; value 159 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7094: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7094, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 155 units with mass 1/4; value 157 units with mass 1/2; value 159 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7094).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "resource use", "boundary": "mean-is-mode", "variant": "3", "oracle": {"mean": "157", "modes": ["157"], "value": "0", "flags": [false, false, false, false], "masses": {"155": "1/4", "157": "1/2", "159": "1/4"}, "paths": [["155", "1/4"], ["157", "1/2"], ["159", "1/4"]]}}, {"id": "a77-outcome-095", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7095, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 158 units with mass 1/4; value 160 units with mass 1/2; value 162 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7095: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7095, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 158 units with mass 1/4; value 160 units with mass 1/2; value 162 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7095).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "simulated inventory", "boundary": "mean-is-mode", "variant": "3", "oracle": {"mean": "160", "modes": ["160"], "value": "0", "flags": [false, false, false, false], "masses": {"158": "1/4", "160": "1/2", "162": "1/4"}, "paths": [["158", "1/4"], ["160", "1/2"], ["162", "1/4"]]}}, {"id": "a77-outcome-096", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7096, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 161 units with mass 1/4; value 163 units with mass 1/2; value 165 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7096: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7096, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 161 units with mass 1/4; value 163 units with mass 1/2; value 165 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7096).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "generated batch size", "boundary": "mean-is-mode", "variant": "3", "oracle": {"mean": "163", "modes": ["163"], "value": "0", "flags": [false, false, false, false], "masses": {"161": "1/4", "163": "1/2", "165": "1/4"}, "paths": [["161", "1/4"], ["163", "1/2"], ["165", "1/4"]]}}, {"id": "a77-outcome-097", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7097, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 70 units with mass 1/5; value 72 units with mass 3/10; value 72 units with mass 3/10; value 74 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 72 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7097: 72 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7097, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 70 units with mass 1/5; value 72 units with mass 3/10; value 72 units with mass 3/10; value 74 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 72 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 72 units is mean-outcome(R7097).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "toy output", "boundary": "aggregate-paths", "variant": "0", "oracle": {"mean": "72", "modes": ["72"], "value": "72", "flags": [true, true, true, false], "masses": {"70": "1/5", "72": "3/5", "74": "1/5"}, "paths": [["70", "1/5"], ["72", "3/10"], ["72", "3/10"], ["74", "1/5"]]}}, {"id": "a77-outcome-098", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7098, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 73 units with mass 1/5; value 75 units with mass 3/10; value 75 units with mass 3/10; value 77 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 75 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7098: 75 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7098, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 73 units with mass 1/5; value 75 units with mass 3/10; value 75 units with mass 3/10; value 77 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 75 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 75 units is mean-outcome(R7098).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "queue delay", "boundary": "aggregate-paths", "variant": "0", "oracle": {"mean": "75", "modes": ["75"], "value": "75", "flags": [true, true, true, false], "masses": {"73": "1/5", "75": "3/5", "77": "1/5"}, "paths": [["73", "1/5"], ["75", "3/10"], ["75", "3/10"], ["77", "1/5"]]}}, {"id": "a77-outcome-099", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7099, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 76 units with mass 1/5; value 78 units with mass 3/10; value 78 units with mass 3/10; value 80 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 78 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7099: 78 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7099, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 76 units with mass 1/5; value 78 units with mass 3/10; value 78 units with mass 3/10; value 80 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 78 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 78 units is mean-outcome(R7099).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "retry count", "boundary": "aggregate-paths", "variant": "0", "oracle": {"mean": "78", "modes": ["78"], "value": "78", "flags": [true, true, true, false], "masses": {"76": "1/5", "78": "3/5", "80": "1/5"}, "paths": [["76", "1/5"], ["78", "3/10"], ["78", "3/10"], ["80", "1/5"]]}}, {"id": "a77-outcome-100", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7100, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 86 units with mass 1/5; value 88 units with mass 3/10; value 88 units with mass 3/10; value 90 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 88 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7100: 88 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7100, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 86 units with mass 1/5; value 88 units with mass 3/10; value 88 units with mass 3/10; value 90 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 88 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 88 units is mean-outcome(R7100).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "resource use", "boundary": "aggregate-paths", "variant": "0", "oracle": {"mean": "88", "modes": ["88"], "value": "88", "flags": [true, true, true, false], "masses": {"86": "1/5", "88": "3/5", "90": "1/5"}, "paths": [["86", "1/5"], ["88", "3/10"], ["88", "3/10"], ["90", "1/5"]]}}, {"id": "a77-outcome-101", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7101, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 89 units with mass 1/5; value 91 units with mass 3/10; value 91 units with mass 3/10; value 93 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 91 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7101: 91 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7101, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 89 units with mass 1/5; value 91 units with mass 3/10; value 91 units with mass 3/10; value 93 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 91 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 91 units is mean-outcome(R7101).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "simulated inventory", "boundary": "aggregate-paths", "variant": "0", "oracle": {"mean": "91", "modes": ["91"], "value": "91", "flags": [true, true, true, false], "masses": {"89": "1/5", "91": "3/5", "93": "1/5"}, "paths": [["89", "1/5"], ["91", "3/10"], ["91", "3/10"], ["93", "1/5"]]}}, {"id": "a77-outcome-102", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7102, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 92 units with mass 1/5; value 94 units with mass 3/10; value 94 units with mass 3/10; value 96 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 94 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7102: 94 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7102, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 92 units with mass 1/5; value 94 units with mass 3/10; value 94 units with mass 3/10; value 96 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 94 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 94 units is mean-outcome(R7102).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "generated batch size", "boundary": "aggregate-paths", "variant": "0", "oracle": {"mean": "94", "modes": ["94"], "value": "94", "flags": [true, true, true, false], "masses": {"92": "1/5", "94": "3/5", "96": "1/5"}, "paths": [["92", "1/5"], ["94", "3/10"], ["94", "3/10"], ["96", "1/5"]]}}, {"id": "a77-outcome-103", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7103, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 102 units with mass 1/5; value 104 units with mass 3/10; value 104 units with mass 3/10; value 106 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 104 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7103: 104 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7103, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 102 units with mass 1/5; value 104 units with mass 3/10; value 104 units with mass 3/10; value 106 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 104 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 104 units is mean-outcome(R7103).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "toy output", "boundary": "aggregate-paths", "variant": "1", "oracle": {"mean": "104", "modes": ["104"], "value": "104", "flags": [true, true, true, false], "masses": {"102": "1/5", "104": "3/5", "106": "1/5"}, "paths": [["102", "1/5"], ["104", "3/10"], ["104", "3/10"], ["106", "1/5"]]}}, {"id": "a77-outcome-104", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7104, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 105 units with mass 1/5; value 107 units with mass 3/10; value 107 units with mass 3/10; value 109 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 107 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7104: 107 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7104, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 105 units with mass 1/5; value 107 units with mass 3/10; value 107 units with mass 3/10; value 109 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 107 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 107 units is mean-outcome(R7104).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "queue delay", "boundary": "aggregate-paths", "variant": "1", "oracle": {"mean": "107", "modes": ["107"], "value": "107", "flags": [true, true, true, false], "masses": {"105": "1/5", "107": "3/5", "109": "1/5"}, "paths": [["105", "1/5"], ["107", "3/10"], ["107", "3/10"], ["109", "1/5"]]}}, {"id": "a77-outcome-105", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7105, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 108 units with mass 1/5; value 110 units with mass 3/10; value 110 units with mass 3/10; value 112 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 110 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7105: 110 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7105, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 108 units with mass 1/5; value 110 units with mass 3/10; value 110 units with mass 3/10; value 112 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 110 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 110 units is mean-outcome(R7105).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "retry count", "boundary": "aggregate-paths", "variant": "1", "oracle": {"mean": "110", "modes": ["110"], "value": "110", "flags": [true, true, true, false], "masses": {"108": "1/5", "110": "3/5", "112": "1/5"}, "paths": [["108", "1/5"], ["110", "3/10"], ["110", "3/10"], ["112", "1/5"]]}}, {"id": "a77-outcome-106", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7106, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 118 units with mass 1/5; value 120 units with mass 3/10; value 120 units with mass 3/10; value 122 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 120 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7106: 120 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7106, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 118 units with mass 1/5; value 120 units with mass 3/10; value 120 units with mass 3/10; value 122 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 120 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 120 units is mean-outcome(R7106).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "resource use", "boundary": "aggregate-paths", "variant": "1", "oracle": {"mean": "120", "modes": ["120"], "value": "120", "flags": [true, true, true, false], "masses": {"118": "1/5", "120": "3/5", "122": "1/5"}, "paths": [["118", "1/5"], ["120", "3/10"], ["120", "3/10"], ["122", "1/5"]]}}, {"id": "a77-outcome-107", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7107, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 121 units with mass 1/5; value 123 units with mass 3/10; value 123 units with mass 3/10; value 125 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 123 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7107: 123 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7107, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 121 units with mass 1/5; value 123 units with mass 3/10; value 123 units with mass 3/10; value 125 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 123 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 123 units is mean-outcome(R7107).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "simulated inventory", "boundary": "aggregate-paths", "variant": "1", "oracle": {"mean": "123", "modes": ["123"], "value": "123", "flags": [true, true, true, false], "masses": {"121": "1/5", "123": "3/5", "125": "1/5"}, "paths": [["121", "1/5"], ["123", "3/10"], ["123", "3/10"], ["125", "1/5"]]}}, {"id": "a77-outcome-108", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7108, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 124 units with mass 1/5; value 126 units with mass 3/10; value 126 units with mass 3/10; value 128 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 126 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7108: 126 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7108, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 124 units with mass 1/5; value 126 units with mass 3/10; value 126 units with mass 3/10; value 128 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 126 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 126 units is mean-outcome(R7108).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "generated batch size", "boundary": "aggregate-paths", "variant": "1", "oracle": {"mean": "126", "modes": ["126"], "value": "126", "flags": [true, true, true, false], "masses": {"124": "1/5", "126": "3/5", "128": "1/5"}, "paths": [["124", "1/5"], ["126", "3/10"], ["126", "3/10"], ["128", "1/5"]]}}, {"id": "a77-outcome-109", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7109, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 107 units with mass 1/5; value 109 units with mass 3/10; value 109 units with mass 3/10; value 111 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7109: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7109, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 107 units with mass 1/5; value 109 units with mass 3/10; value 109 units with mass 3/10; value 111 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7109).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "toy output", "boundary": "aggregate-paths", "variant": "2", "oracle": {"mean": "109", "modes": ["109"], "value": "0", "flags": [false, false, false, false], "masses": {"107": "1/5", "109": "3/5", "111": "1/5"}, "paths": [["107", "1/5"], ["109", "3/10"], ["109", "3/10"], ["111", "1/5"]]}}, {"id": "a77-outcome-110", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7110, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 110 units with mass 1/5; value 112 units with mass 3/10; value 112 units with mass 3/10; value 114 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7110: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7110, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 110 units with mass 1/5; value 112 units with mass 3/10; value 112 units with mass 3/10; value 114 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7110).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "queue delay", "boundary": "aggregate-paths", "variant": "2", "oracle": {"mean": "112", "modes": ["112"], "value": "0", "flags": [false, false, false, false], "masses": {"110": "1/5", "112": "3/5", "114": "1/5"}, "paths": [["110", "1/5"], ["112", "3/10"], ["112", "3/10"], ["114", "1/5"]]}}, {"id": "a77-outcome-111", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7111, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 113 units with mass 1/5; value 115 units with mass 3/10; value 115 units with mass 3/10; value 117 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7111: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7111, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 113 units with mass 1/5; value 115 units with mass 3/10; value 115 units with mass 3/10; value 117 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7111).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "retry count", "boundary": "aggregate-paths", "variant": "2", "oracle": {"mean": "115", "modes": ["115"], "value": "0", "flags": [false, false, false, false], "masses": {"113": "1/5", "115": "3/5", "117": "1/5"}, "paths": [["113", "1/5"], ["115", "3/10"], ["115", "3/10"], ["117", "1/5"]]}}, {"id": "a77-outcome-112", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7112, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 123 units with mass 1/5; value 125 units with mass 3/10; value 125 units with mass 3/10; value 127 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7112: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7112, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 123 units with mass 1/5; value 125 units with mass 3/10; value 125 units with mass 3/10; value 127 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7112).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "resource use", "boundary": "aggregate-paths", "variant": "2", "oracle": {"mean": "125", "modes": ["125"], "value": "0", "flags": [false, false, false, false], "masses": {"123": "1/5", "125": "3/5", "127": "1/5"}, "paths": [["123", "1/5"], ["125", "3/10"], ["125", "3/10"], ["127", "1/5"]]}}, {"id": "a77-outcome-113", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7113, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 126 units with mass 1/5; value 128 units with mass 3/10; value 128 units with mass 3/10; value 130 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7113: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7113, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 126 units with mass 1/5; value 128 units with mass 3/10; value 128 units with mass 3/10; value 130 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7113).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "simulated inventory", "boundary": "aggregate-paths", "variant": "2", "oracle": {"mean": "128", "modes": ["128"], "value": "0", "flags": [false, false, false, false], "masses": {"126": "1/5", "128": "3/5", "130": "1/5"}, "paths": [["126", "1/5"], ["128", "3/10"], ["128", "3/10"], ["130", "1/5"]]}}, {"id": "a77-outcome-114", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7114, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 129 units with mass 1/5; value 131 units with mass 3/10; value 131 units with mass 3/10; value 133 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7114: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7114, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 129 units with mass 1/5; value 131 units with mass 3/10; value 131 units with mass 3/10; value 133 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7114).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "generated batch size", "boundary": "aggregate-paths", "variant": "2", "oracle": {"mean": "131", "modes": ["131"], "value": "0", "flags": [false, false, false, false], "masses": {"129": "1/5", "131": "3/5", "133": "1/5"}, "paths": [["129", "1/5"], ["131", "3/10"], ["131", "3/10"], ["133", "1/5"]]}}, {"id": "a77-outcome-115", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7115, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 139 units with mass 1/5; value 141 units with mass 3/10; value 141 units with mass 3/10; value 143 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7115: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7115, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 139 units with mass 1/5; value 141 units with mass 3/10; value 141 units with mass 3/10; value 143 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7115).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "toy output", "boundary": "aggregate-paths", "variant": "3", "oracle": {"mean": "141", "modes": ["141"], "value": "0", "flags": [false, false, false, false], "masses": {"139": "1/5", "141": "3/5", "143": "1/5"}, "paths": [["139", "1/5"], ["141", "3/10"], ["141", "3/10"], ["143", "1/5"]]}}, {"id": "a77-outcome-116", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7116, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 142 units with mass 1/5; value 144 units with mass 3/10; value 144 units with mass 3/10; value 146 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7116: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7116, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 142 units with mass 1/5; value 144 units with mass 3/10; value 144 units with mass 3/10; value 146 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7116).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "queue delay", "boundary": "aggregate-paths", "variant": "3", "oracle": {"mean": "144", "modes": ["144"], "value": "0", "flags": [false, false, false, false], "masses": {"142": "1/5", "144": "3/5", "146": "1/5"}, "paths": [["142", "1/5"], ["144", "3/10"], ["144", "3/10"], ["146", "1/5"]]}}, {"id": "a77-outcome-117", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7117, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 145 units with mass 1/5; value 147 units with mass 3/10; value 147 units with mass 3/10; value 149 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7117: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7117, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 145 units with mass 1/5; value 147 units with mass 3/10; value 147 units with mass 3/10; value 149 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7117).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "retry count", "boundary": "aggregate-paths", "variant": "3", "oracle": {"mean": "147", "modes": ["147"], "value": "0", "flags": [false, false, false, false], "masses": {"145": "1/5", "147": "3/5", "149": "1/5"}, "paths": [["145", "1/5"], ["147", "3/10"], ["147", "3/10"], ["149", "1/5"]]}}, {"id": "a77-outcome-118", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7118, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 155 units with mass 1/5; value 157 units with mass 3/10; value 157 units with mass 3/10; value 159 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7118: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7118, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 155 units with mass 1/5; value 157 units with mass 3/10; value 157 units with mass 3/10; value 159 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7118).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "resource use", "boundary": "aggregate-paths", "variant": "3", "oracle": {"mean": "157", "modes": ["157"], "value": "0", "flags": [false, false, false, false], "masses": {"155": "1/5", "157": "3/5", "159": "1/5"}, "paths": [["155", "1/5"], ["157", "3/10"], ["157", "3/10"], ["159", "1/5"]]}}, {"id": "a77-outcome-119", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7119, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 158 units with mass 1/5; value 160 units with mass 3/10; value 160 units with mass 3/10; value 162 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7119: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7119, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 158 units with mass 1/5; value 160 units with mass 3/10; value 160 units with mass 3/10; value 162 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7119).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "simulated inventory", "boundary": "aggregate-paths", "variant": "3", "oracle": {"mean": "160", "modes": ["160"], "value": "0", "flags": [false, false, false, false], "masses": {"158": "1/5", "160": "3/5", "162": "1/5"}, "paths": [["158", "1/5"], ["160", "3/10"], ["160", "3/10"], ["162", "1/5"]]}}, {"id": "a77-outcome-120", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7120, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 161 units with mass 1/5; value 163 units with mass 3/10; value 163 units with mass 3/10; value 165 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under R7120: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7120, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 161 units with mass 1/5; value 163 units with mass 3/10; value 163 units with mass 3/10; value 165 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is mean-outcome(R7120).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "mean-outcome", "domain": "generated batch size", "boundary": "aggregate-paths", "variant": "3", "oracle": {"mean": "163", "modes": ["163"], "value": "0", "flags": [false, false, false, false], "masses": {"161": "1/5", "163": "3/5", "165": "1/5"}, "paths": [["161", "1/5"], ["163", "3/10"], ["163", "3/10"], ["165", "1/5"]]}}, {"id": "a77-outcome-121", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7121, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 70 units with mass 1/2; value 76 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 70 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7121: 70 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7121, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 70 units with mass 1/2; value 76 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 70 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 70 units is likeliest-outcome(R7121).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "toy output", "boundary": "mean-outside", "variant": "0", "oracle": {"mean": "73", "modes": ["70", "76"], "value": "70", "flags": [true, true, false, false], "masses": {"70": "1/2", "76": "1/2"}, "paths": [["70", "1/2"], ["76", "1/2"]]}}, {"id": "a77-outcome-122", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7122, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 73 units with mass 1/2; value 79 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 73 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7122: 73 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7122, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 73 units with mass 1/2; value 79 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 73 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 73 units is likeliest-outcome(R7122).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "queue delay", "boundary": "mean-outside", "variant": "0", "oracle": {"mean": "76", "modes": ["73", "79"], "value": "73", "flags": [true, true, false, false], "masses": {"73": "1/2", "79": "1/2"}, "paths": [["73", "1/2"], ["79", "1/2"]]}}, {"id": "a77-outcome-123", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7123, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 76 units with mass 1/2; value 82 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 76 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7123: 76 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7123, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 76 units with mass 1/2; value 82 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 76 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 76 units is likeliest-outcome(R7123).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "retry count", "boundary": "mean-outside", "variant": "0", "oracle": {"mean": "79", "modes": ["76", "82"], "value": "76", "flags": [true, true, false, false], "masses": {"76": "1/2", "82": "1/2"}, "paths": [["76", "1/2"], ["82", "1/2"]]}}, {"id": "a77-outcome-124", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7124, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 86 units with mass 1/2; value 92 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 86 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7124: 86 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7124, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 86 units with mass 1/2; value 92 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 86 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 86 units is likeliest-outcome(R7124).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "resource use", "boundary": "mean-outside", "variant": "0", "oracle": {"mean": "89", "modes": ["86", "92"], "value": "86", "flags": [true, true, false, false], "masses": {"86": "1/2", "92": "1/2"}, "paths": [["86", "1/2"], ["92", "1/2"]]}}, {"id": "a77-outcome-125", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7125, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 89 units with mass 1/2; value 95 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 89 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7125: 89 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7125, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 89 units with mass 1/2; value 95 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 89 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 89 units is likeliest-outcome(R7125).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "simulated inventory", "boundary": "mean-outside", "variant": "0", "oracle": {"mean": "92", "modes": ["89", "95"], "value": "89", "flags": [true, true, false, false], "masses": {"89": "1/2", "95": "1/2"}, "paths": [["89", "1/2"], ["95", "1/2"]]}}, {"id": "a77-outcome-126", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7126, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 92 units with mass 1/2; value 98 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 92 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7126: 92 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7126, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 92 units with mass 1/2; value 98 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 92 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 92 units is likeliest-outcome(R7126).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "generated batch size", "boundary": "mean-outside", "variant": "0", "oracle": {"mean": "95", "modes": ["92", "98"], "value": "92", "flags": [true, true, false, false], "masses": {"92": "1/2", "98": "1/2"}, "paths": [["92", "1/2"], ["98", "1/2"]]}}, {"id": "a77-outcome-127", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7127, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 102 units with mass 1/2; value 108 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 102 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7127: 102 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7127, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 102 units with mass 1/2; value 108 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 102 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 102 units is likeliest-outcome(R7127).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "toy output", "boundary": "mean-outside", "variant": "1", "oracle": {"mean": "105", "modes": ["102", "108"], "value": "102", "flags": [true, true, false, false], "masses": {"102": "1/2", "108": "1/2"}, "paths": [["102", "1/2"], ["108", "1/2"]]}}, {"id": "a77-outcome-128", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7128, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 105 units with mass 1/2; value 111 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 105 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7128: 105 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7128, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 105 units with mass 1/2; value 111 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 105 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 105 units is likeliest-outcome(R7128).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "queue delay", "boundary": "mean-outside", "variant": "1", "oracle": {"mean": "108", "modes": ["105", "111"], "value": "105", "flags": [true, true, false, false], "masses": {"105": "1/2", "111": "1/2"}, "paths": [["105", "1/2"], ["111", "1/2"]]}}, {"id": "a77-outcome-129", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7129, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 108 units with mass 1/2; value 114 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 108 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7129: 108 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7129, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 108 units with mass 1/2; value 114 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 108 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 108 units is likeliest-outcome(R7129).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "retry count", "boundary": "mean-outside", "variant": "1", "oracle": {"mean": "111", "modes": ["108", "114"], "value": "108", "flags": [true, true, false, false], "masses": {"108": "1/2", "114": "1/2"}, "paths": [["108", "1/2"], ["114", "1/2"]]}}, {"id": "a77-outcome-130", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7130, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 118 units with mass 1/2; value 124 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 118 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7130: 118 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7130, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 118 units with mass 1/2; value 124 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 118 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 118 units is likeliest-outcome(R7130).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "resource use", "boundary": "mean-outside", "variant": "1", "oracle": {"mean": "121", "modes": ["118", "124"], "value": "118", "flags": [true, true, false, false], "masses": {"118": "1/2", "124": "1/2"}, "paths": [["118", "1/2"], ["124", "1/2"]]}}, {"id": "a77-outcome-131", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7131, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 121 units with mass 1/2; value 127 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 121 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7131: 121 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7131, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 121 units with mass 1/2; value 127 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 121 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 121 units is likeliest-outcome(R7131).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "simulated inventory", "boundary": "mean-outside", "variant": "1", "oracle": {"mean": "124", "modes": ["121", "127"], "value": "121", "flags": [true, true, false, false], "masses": {"121": "1/2", "127": "1/2"}, "paths": [["121", "1/2"], ["127", "1/2"]]}}, {"id": "a77-outcome-132", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7132, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 124 units with mass 1/2; value 130 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 124 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7132: 124 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7132, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 124 units with mass 1/2; value 130 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 124 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 124 units is likeliest-outcome(R7132).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "generated batch size", "boundary": "mean-outside", "variant": "1", "oracle": {"mean": "127", "modes": ["124", "130"], "value": "124", "flags": [true, true, false, false], "masses": {"124": "1/2", "130": "1/2"}, "paths": [["124", "1/2"], ["130", "1/2"]]}}, {"id": "a77-outcome-133", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7133, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 107 units with mass 1/2; value 113 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7133: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7133, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 107 units with mass 1/2; value 113 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7133).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "toy output", "boundary": "mean-outside", "variant": "2", "oracle": {"mean": "110", "modes": ["107", "113"], "value": "0", "flags": [false, false, false, false], "masses": {"107": "1/2", "113": "1/2"}, "paths": [["107", "1/2"], ["113", "1/2"]]}}, {"id": "a77-outcome-134", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7134, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 110 units with mass 1/2; value 116 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7134: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7134, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 110 units with mass 1/2; value 116 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7134).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "queue delay", "boundary": "mean-outside", "variant": "2", "oracle": {"mean": "113", "modes": ["110", "116"], "value": "0", "flags": [false, false, false, false], "masses": {"110": "1/2", "116": "1/2"}, "paths": [["110", "1/2"], ["116", "1/2"]]}}, {"id": "a77-outcome-135", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7135, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 113 units with mass 1/2; value 119 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7135: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7135, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 113 units with mass 1/2; value 119 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7135).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "retry count", "boundary": "mean-outside", "variant": "2", "oracle": {"mean": "116", "modes": ["113", "119"], "value": "0", "flags": [false, false, false, false], "masses": {"113": "1/2", "119": "1/2"}, "paths": [["113", "1/2"], ["119", "1/2"]]}}, {"id": "a77-outcome-136", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7136, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 123 units with mass 1/2; value 129 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7136: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7136, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 123 units with mass 1/2; value 129 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7136).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "resource use", "boundary": "mean-outside", "variant": "2", "oracle": {"mean": "126", "modes": ["123", "129"], "value": "0", "flags": [false, false, false, false], "masses": {"123": "1/2", "129": "1/2"}, "paths": [["123", "1/2"], ["129", "1/2"]]}}, {"id": "a77-outcome-137", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7137, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 126 units with mass 1/2; value 132 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7137: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7137, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 126 units with mass 1/2; value 132 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7137).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "simulated inventory", "boundary": "mean-outside", "variant": "2", "oracle": {"mean": "129", "modes": ["126", "132"], "value": "0", "flags": [false, false, false, false], "masses": {"126": "1/2", "132": "1/2"}, "paths": [["126", "1/2"], ["132", "1/2"]]}}, {"id": "a77-outcome-138", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7138, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 129 units with mass 1/2; value 135 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7138: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7138, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 129 units with mass 1/2; value 135 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7138).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "generated batch size", "boundary": "mean-outside", "variant": "2", "oracle": {"mean": "132", "modes": ["129", "135"], "value": "0", "flags": [false, false, false, false], "masses": {"129": "1/2", "135": "1/2"}, "paths": [["129", "1/2"], ["135", "1/2"]]}}, {"id": "a77-outcome-139", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7139, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 139 units with mass 1/2; value 145 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7139: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7139, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 139 units with mass 1/2; value 145 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7139).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "toy output", "boundary": "mean-outside", "variant": "3", "oracle": {"mean": "142", "modes": ["139", "145"], "value": "0", "flags": [false, false, false, false], "masses": {"139": "1/2", "145": "1/2"}, "paths": [["139", "1/2"], ["145", "1/2"]]}}, {"id": "a77-outcome-140", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7140, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 142 units with mass 1/2; value 148 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7140: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7140, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 142 units with mass 1/2; value 148 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7140).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "queue delay", "boundary": "mean-outside", "variant": "3", "oracle": {"mean": "145", "modes": ["142", "148"], "value": "0", "flags": [false, false, false, false], "masses": {"142": "1/2", "148": "1/2"}, "paths": [["142", "1/2"], ["148", "1/2"]]}}, {"id": "a77-outcome-141", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7141, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 145 units with mass 1/2; value 151 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7141: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7141, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 145 units with mass 1/2; value 151 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7141).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "retry count", "boundary": "mean-outside", "variant": "3", "oracle": {"mean": "148", "modes": ["145", "151"], "value": "0", "flags": [false, false, false, false], "masses": {"145": "1/2", "151": "1/2"}, "paths": [["145", "1/2"], ["151", "1/2"]]}}, {"id": "a77-outcome-142", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7142, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 155 units with mass 1/2; value 161 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7142: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7142, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 155 units with mass 1/2; value 161 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7142).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "resource use", "boundary": "mean-outside", "variant": "3", "oracle": {"mean": "158", "modes": ["155", "161"], "value": "0", "flags": [false, false, false, false], "masses": {"155": "1/2", "161": "1/2"}, "paths": [["155", "1/2"], ["161", "1/2"]]}}, {"id": "a77-outcome-143", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7143, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 158 units with mass 1/2; value 164 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7143: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7143, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 158 units with mass 1/2; value 164 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7143).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "simulated inventory", "boundary": "mean-outside", "variant": "3", "oracle": {"mean": "161", "modes": ["158", "164"], "value": "0", "flags": [false, false, false, false], "masses": {"158": "1/2", "164": "1/2"}, "paths": [["158", "1/2"], ["164", "1/2"]]}}, {"id": "a77-outcome-144", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7144, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 161 units with mass 1/2; value 167 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7144: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7144, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 161 units with mass 1/2; value 167 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7144).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "generated batch size", "boundary": "mean-outside", "variant": "3", "oracle": {"mean": "164", "modes": ["161", "167"], "value": "0", "flags": [false, false, false, false], "masses": {"161": "1/2", "167": "1/2"}, "paths": [["161", "1/2"], ["167", "1/2"]]}}, {"id": "a77-outcome-145", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7145, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 70 units with mass 2/5; value 72 units with mass 3/10; value 75 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 70 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7145: 70 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7145, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 70 units with mass 2/5; value 72 units with mass 3/10; value 75 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 70 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 70 units is likeliest-outcome(R7145).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "toy output", "boundary": "mode-below-half", "variant": "0", "oracle": {"mean": "721/10", "modes": ["70"], "value": "70", "flags": [true, true, true, false], "masses": {"70": "2/5", "72": "3/10", "75": "3/10"}, "paths": [["70", "2/5"], ["72", "3/10"], ["75", "3/10"]]}}, {"id": "a77-outcome-146", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7146, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 73 units with mass 2/5; value 75 units with mass 3/10; value 78 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 73 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7146: 73 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7146, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 73 units with mass 2/5; value 75 units with mass 3/10; value 78 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 73 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 73 units is likeliest-outcome(R7146).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "queue delay", "boundary": "mode-below-half", "variant": "0", "oracle": {"mean": "751/10", "modes": ["73"], "value": "73", "flags": [true, true, true, false], "masses": {"73": "2/5", "75": "3/10", "78": "3/10"}, "paths": [["73", "2/5"], ["75", "3/10"], ["78", "3/10"]]}}, {"id": "a77-outcome-147", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7147, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 76 units with mass 2/5; value 78 units with mass 3/10; value 81 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 76 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7147: 76 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7147, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 76 units with mass 2/5; value 78 units with mass 3/10; value 81 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 76 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 76 units is likeliest-outcome(R7147).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "retry count", "boundary": "mode-below-half", "variant": "0", "oracle": {"mean": "781/10", "modes": ["76"], "value": "76", "flags": [true, true, true, false], "masses": {"76": "2/5", "78": "3/10", "81": "3/10"}, "paths": [["76", "2/5"], ["78", "3/10"], ["81", "3/10"]]}}, {"id": "a77-outcome-148", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7148, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 86 units with mass 2/5; value 88 units with mass 3/10; value 91 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 86 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7148: 86 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7148, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 86 units with mass 2/5; value 88 units with mass 3/10; value 91 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 86 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 86 units is likeliest-outcome(R7148).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "resource use", "boundary": "mode-below-half", "variant": "0", "oracle": {"mean": "881/10", "modes": ["86"], "value": "86", "flags": [true, true, true, false], "masses": {"86": "2/5", "88": "3/10", "91": "3/10"}, "paths": [["86", "2/5"], ["88", "3/10"], ["91", "3/10"]]}}, {"id": "a77-outcome-149", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7149, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 89 units with mass 2/5; value 91 units with mass 3/10; value 94 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 89 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7149: 89 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7149, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 89 units with mass 2/5; value 91 units with mass 3/10; value 94 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 89 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 89 units is likeliest-outcome(R7149).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "simulated inventory", "boundary": "mode-below-half", "variant": "0", "oracle": {"mean": "911/10", "modes": ["89"], "value": "89", "flags": [true, true, true, false], "masses": {"89": "2/5", "91": "3/10", "94": "3/10"}, "paths": [["89", "2/5"], ["91", "3/10"], ["94", "3/10"]]}}, {"id": "a77-outcome-150", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7150, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 92 units with mass 2/5; value 94 units with mass 3/10; value 97 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 92 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7150: 92 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7150, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 92 units with mass 2/5; value 94 units with mass 3/10; value 97 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 92 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 92 units is likeliest-outcome(R7150).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "generated batch size", "boundary": "mode-below-half", "variant": "0", "oracle": {"mean": "941/10", "modes": ["92"], "value": "92", "flags": [true, true, true, false], "masses": {"92": "2/5", "94": "3/10", "97": "3/10"}, "paths": [["92", "2/5"], ["94", "3/10"], ["97", "3/10"]]}}, {"id": "a77-outcome-151", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7151, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 102 units with mass 2/5; value 104 units with mass 3/10; value 107 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 102 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7151: 102 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7151, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 102 units with mass 2/5; value 104 units with mass 3/10; value 107 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 102 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 102 units is likeliest-outcome(R7151).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "toy output", "boundary": "mode-below-half", "variant": "1", "oracle": {"mean": "1041/10", "modes": ["102"], "value": "102", "flags": [true, true, true, false], "masses": {"102": "2/5", "104": "3/10", "107": "3/10"}, "paths": [["102", "2/5"], ["104", "3/10"], ["107", "3/10"]]}}, {"id": "a77-outcome-152", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7152, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 105 units with mass 2/5; value 107 units with mass 3/10; value 110 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 105 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7152: 105 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7152, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 105 units with mass 2/5; value 107 units with mass 3/10; value 110 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 105 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 105 units is likeliest-outcome(R7152).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "queue delay", "boundary": "mode-below-half", "variant": "1", "oracle": {"mean": "1071/10", "modes": ["105"], "value": "105", "flags": [true, true, true, false], "masses": {"105": "2/5", "107": "3/10", "110": "3/10"}, "paths": [["105", "2/5"], ["107", "3/10"], ["110", "3/10"]]}}, {"id": "a77-outcome-153", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7153, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 108 units with mass 2/5; value 110 units with mass 3/10; value 113 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 108 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7153: 108 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7153, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 108 units with mass 2/5; value 110 units with mass 3/10; value 113 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 108 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 108 units is likeliest-outcome(R7153).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "retry count", "boundary": "mode-below-half", "variant": "1", "oracle": {"mean": "1101/10", "modes": ["108"], "value": "108", "flags": [true, true, true, false], "masses": {"108": "2/5", "110": "3/10", "113": "3/10"}, "paths": [["108", "2/5"], ["110", "3/10"], ["113", "3/10"]]}}, {"id": "a77-outcome-154", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7154, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 118 units with mass 2/5; value 120 units with mass 3/10; value 123 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 118 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7154: 118 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7154, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 118 units with mass 2/5; value 120 units with mass 3/10; value 123 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 118 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 118 units is likeliest-outcome(R7154).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "resource use", "boundary": "mode-below-half", "variant": "1", "oracle": {"mean": "1201/10", "modes": ["118"], "value": "118", "flags": [true, true, true, false], "masses": {"118": "2/5", "120": "3/10", "123": "3/10"}, "paths": [["118", "2/5"], ["120", "3/10"], ["123", "3/10"]]}}, {"id": "a77-outcome-155", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7155, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 121 units with mass 2/5; value 123 units with mass 3/10; value 126 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 121 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7155: 121 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7155, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 121 units with mass 2/5; value 123 units with mass 3/10; value 126 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 121 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 121 units is likeliest-outcome(R7155).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "simulated inventory", "boundary": "mode-below-half", "variant": "1", "oracle": {"mean": "1231/10", "modes": ["121"], "value": "121", "flags": [true, true, true, false], "masses": {"121": "2/5", "123": "3/10", "126": "3/10"}, "paths": [["121", "2/5"], ["123", "3/10"], ["126", "3/10"]]}}, {"id": "a77-outcome-156", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7156, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 124 units with mass 2/5; value 126 units with mass 3/10; value 129 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 124 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7156: 124 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7156, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 124 units with mass 2/5; value 126 units with mass 3/10; value 129 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 124 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 124 units is likeliest-outcome(R7156).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "generated batch size", "boundary": "mode-below-half", "variant": "1", "oracle": {"mean": "1261/10", "modes": ["124"], "value": "124", "flags": [true, true, true, false], "masses": {"124": "2/5", "126": "3/10", "129": "3/10"}, "paths": [["124", "2/5"], ["126", "3/10"], ["129", "3/10"]]}}, {"id": "a77-outcome-157", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7157, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 107 units with mass 2/5; value 109 units with mass 3/10; value 112 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7157: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7157, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 107 units with mass 2/5; value 109 units with mass 3/10; value 112 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7157).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "toy output", "boundary": "mode-below-half", "variant": "2", "oracle": {"mean": "1091/10", "modes": ["107"], "value": "0", "flags": [false, false, false, false], "masses": {"107": "2/5", "109": "3/10", "112": "3/10"}, "paths": [["107", "2/5"], ["109", "3/10"], ["112", "3/10"]]}}, {"id": "a77-outcome-158", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7158, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 110 units with mass 2/5; value 112 units with mass 3/10; value 115 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7158: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7158, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 110 units with mass 2/5; value 112 units with mass 3/10; value 115 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7158).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "queue delay", "boundary": "mode-below-half", "variant": "2", "oracle": {"mean": "1121/10", "modes": ["110"], "value": "0", "flags": [false, false, false, false], "masses": {"110": "2/5", "112": "3/10", "115": "3/10"}, "paths": [["110", "2/5"], ["112", "3/10"], ["115", "3/10"]]}}, {"id": "a77-outcome-159", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7159, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 113 units with mass 2/5; value 115 units with mass 3/10; value 118 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7159: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7159, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 113 units with mass 2/5; value 115 units with mass 3/10; value 118 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7159).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "retry count", "boundary": "mode-below-half", "variant": "2", "oracle": {"mean": "1151/10", "modes": ["113"], "value": "0", "flags": [false, false, false, false], "masses": {"113": "2/5", "115": "3/10", "118": "3/10"}, "paths": [["113", "2/5"], ["115", "3/10"], ["118", "3/10"]]}}, {"id": "a77-outcome-160", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7160, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 123 units with mass 2/5; value 125 units with mass 3/10; value 128 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7160: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7160, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 123 units with mass 2/5; value 125 units with mass 3/10; value 128 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7160).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "resource use", "boundary": "mode-below-half", "variant": "2", "oracle": {"mean": "1251/10", "modes": ["123"], "value": "0", "flags": [false, false, false, false], "masses": {"123": "2/5", "125": "3/10", "128": "3/10"}, "paths": [["123", "2/5"], ["125", "3/10"], ["128", "3/10"]]}}, {"id": "a77-outcome-161", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7161, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 126 units with mass 2/5; value 128 units with mass 3/10; value 131 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7161: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7161, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 126 units with mass 2/5; value 128 units with mass 3/10; value 131 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7161).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "simulated inventory", "boundary": "mode-below-half", "variant": "2", "oracle": {"mean": "1281/10", "modes": ["126"], "value": "0", "flags": [false, false, false, false], "masses": {"126": "2/5", "128": "3/10", "131": "3/10"}, "paths": [["126", "2/5"], ["128", "3/10"], ["131", "3/10"]]}}, {"id": "a77-outcome-162", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7162, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 129 units with mass 2/5; value 131 units with mass 3/10; value 134 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7162: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7162, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 129 units with mass 2/5; value 131 units with mass 3/10; value 134 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7162).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "generated batch size", "boundary": "mode-below-half", "variant": "2", "oracle": {"mean": "1311/10", "modes": ["129"], "value": "0", "flags": [false, false, false, false], "masses": {"129": "2/5", "131": "3/10", "134": "3/10"}, "paths": [["129", "2/5"], ["131", "3/10"], ["134", "3/10"]]}}, {"id": "a77-outcome-163", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7163, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 139 units with mass 2/5; value 141 units with mass 3/10; value 144 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7163: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7163, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 139 units with mass 2/5; value 141 units with mass 3/10; value 144 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7163).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "toy output", "boundary": "mode-below-half", "variant": "3", "oracle": {"mean": "1411/10", "modes": ["139"], "value": "0", "flags": [false, false, false, false], "masses": {"139": "2/5", "141": "3/10", "144": "3/10"}, "paths": [["139", "2/5"], ["141", "3/10"], ["144", "3/10"]]}}, {"id": "a77-outcome-164", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7164, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 142 units with mass 2/5; value 144 units with mass 3/10; value 147 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7164: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7164, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 142 units with mass 2/5; value 144 units with mass 3/10; value 147 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7164).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "queue delay", "boundary": "mode-below-half", "variant": "3", "oracle": {"mean": "1441/10", "modes": ["142"], "value": "0", "flags": [false, false, false, false], "masses": {"142": "2/5", "144": "3/10", "147": "3/10"}, "paths": [["142", "2/5"], ["144", "3/10"], ["147", "3/10"]]}}, {"id": "a77-outcome-165", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7165, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 145 units with mass 2/5; value 147 units with mass 3/10; value 150 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7165: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7165, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 145 units with mass 2/5; value 147 units with mass 3/10; value 150 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7165).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "retry count", "boundary": "mode-below-half", "variant": "3", "oracle": {"mean": "1471/10", "modes": ["145"], "value": "0", "flags": [false, false, false, false], "masses": {"145": "2/5", "147": "3/10", "150": "3/10"}, "paths": [["145", "2/5"], ["147", "3/10"], ["150", "3/10"]]}}, {"id": "a77-outcome-166", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7166, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 155 units with mass 2/5; value 157 units with mass 3/10; value 160 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7166: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7166, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 155 units with mass 2/5; value 157 units with mass 3/10; value 160 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7166).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "resource use", "boundary": "mode-below-half", "variant": "3", "oracle": {"mean": "1571/10", "modes": ["155"], "value": "0", "flags": [false, false, false, false], "masses": {"155": "2/5", "157": "3/10", "160": "3/10"}, "paths": [["155", "2/5"], ["157", "3/10"], ["160", "3/10"]]}}, {"id": "a77-outcome-167", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7167, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 158 units with mass 2/5; value 160 units with mass 3/10; value 163 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7167: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7167, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 158 units with mass 2/5; value 160 units with mass 3/10; value 163 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7167).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "simulated inventory", "boundary": "mode-below-half", "variant": "3", "oracle": {"mean": "1601/10", "modes": ["158"], "value": "0", "flags": [false, false, false, false], "masses": {"158": "2/5", "160": "3/10", "163": "3/10"}, "paths": [["158", "2/5"], ["160", "3/10"], ["163", "3/10"]]}}, {"id": "a77-outcome-168", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7168, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 161 units with mass 2/5; value 163 units with mass 3/10; value 166 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7168: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7168, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 161 units with mass 2/5; value 163 units with mass 3/10; value 166 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7168).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "generated batch size", "boundary": "mode-below-half", "variant": "3", "oracle": {"mean": "1631/10", "modes": ["161"], "value": "0", "flags": [false, false, false, false], "masses": {"161": "2/5", "163": "3/10", "166": "3/10"}, "paths": [["161", "2/5"], ["163", "3/10"], ["166", "3/10"]]}}, {"id": "a77-outcome-169", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7169, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 70 units with mass 2/5; value 72 units with mass 2/5; value 76 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 70 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7169: 70 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7169, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 70 units with mass 2/5; value 72 units with mass 2/5; value 76 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 70 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 70 units is likeliest-outcome(R7169).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "toy output", "boundary": "tied-modes", "variant": "0", "oracle": {"mean": "72", "modes": ["70", "72"], "value": "70", "flags": [true, true, false, false], "masses": {"70": "2/5", "72": "2/5", "76": "1/5"}, "paths": [["70", "2/5"], ["72", "2/5"], ["76", "1/5"]]}}, {"id": "a77-outcome-170", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7170, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 73 units with mass 2/5; value 75 units with mass 2/5; value 79 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 73 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7170: 73 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7170, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 73 units with mass 2/5; value 75 units with mass 2/5; value 79 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 73 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 73 units is likeliest-outcome(R7170).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "queue delay", "boundary": "tied-modes", "variant": "0", "oracle": {"mean": "75", "modes": ["73", "75"], "value": "73", "flags": [true, true, false, false], "masses": {"73": "2/5", "75": "2/5", "79": "1/5"}, "paths": [["73", "2/5"], ["75", "2/5"], ["79", "1/5"]]}}, {"id": "a77-outcome-171", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7171, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 76 units with mass 2/5; value 78 units with mass 2/5; value 82 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 76 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7171: 76 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7171, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 76 units with mass 2/5; value 78 units with mass 2/5; value 82 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 76 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 76 units is likeliest-outcome(R7171).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "retry count", "boundary": "tied-modes", "variant": "0", "oracle": {"mean": "78", "modes": ["76", "78"], "value": "76", "flags": [true, true, false, false], "masses": {"76": "2/5", "78": "2/5", "82": "1/5"}, "paths": [["76", "2/5"], ["78", "2/5"], ["82", "1/5"]]}}, {"id": "a77-outcome-172", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7172, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 86 units with mass 2/5; value 88 units with mass 2/5; value 92 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 86 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7172: 86 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7172, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 86 units with mass 2/5; value 88 units with mass 2/5; value 92 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 86 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 86 units is likeliest-outcome(R7172).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "resource use", "boundary": "tied-modes", "variant": "0", "oracle": {"mean": "88", "modes": ["86", "88"], "value": "86", "flags": [true, true, false, false], "masses": {"86": "2/5", "88": "2/5", "92": "1/5"}, "paths": [["86", "2/5"], ["88", "2/5"], ["92", "1/5"]]}}, {"id": "a77-outcome-173", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7173, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 89 units with mass 2/5; value 91 units with mass 2/5; value 95 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 89 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7173: 89 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7173, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 89 units with mass 2/5; value 91 units with mass 2/5; value 95 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 89 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 89 units is likeliest-outcome(R7173).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "simulated inventory", "boundary": "tied-modes", "variant": "0", "oracle": {"mean": "91", "modes": ["89", "91"], "value": "89", "flags": [true, true, false, false], "masses": {"89": "2/5", "91": "2/5", "95": "1/5"}, "paths": [["89", "2/5"], ["91", "2/5"], ["95", "1/5"]]}}, {"id": "a77-outcome-174", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7174, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 92 units with mass 2/5; value 94 units with mass 2/5; value 98 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 92 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7174: 92 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7174, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 92 units with mass 2/5; value 94 units with mass 2/5; value 98 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 92 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 92 units is likeliest-outcome(R7174).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "generated batch size", "boundary": "tied-modes", "variant": "0", "oracle": {"mean": "94", "modes": ["92", "94"], "value": "92", "flags": [true, true, false, false], "masses": {"92": "2/5", "94": "2/5", "98": "1/5"}, "paths": [["92", "2/5"], ["94", "2/5"], ["98", "1/5"]]}}, {"id": "a77-outcome-175", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7175, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 102 units with mass 2/5; value 104 units with mass 2/5; value 108 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 102 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7175: 102 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7175, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 102 units with mass 2/5; value 104 units with mass 2/5; value 108 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 102 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 102 units is likeliest-outcome(R7175).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "toy output", "boundary": "tied-modes", "variant": "1", "oracle": {"mean": "104", "modes": ["102", "104"], "value": "102", "flags": [true, true, false, false], "masses": {"102": "2/5", "104": "2/5", "108": "1/5"}, "paths": [["102", "2/5"], ["104", "2/5"], ["108", "1/5"]]}}, {"id": "a77-outcome-176", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7176, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 105 units with mass 2/5; value 107 units with mass 2/5; value 111 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 105 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7176: 105 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7176, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 105 units with mass 2/5; value 107 units with mass 2/5; value 111 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 105 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 105 units is likeliest-outcome(R7176).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "queue delay", "boundary": "tied-modes", "variant": "1", "oracle": {"mean": "107", "modes": ["105", "107"], "value": "105", "flags": [true, true, false, false], "masses": {"105": "2/5", "107": "2/5", "111": "1/5"}, "paths": [["105", "2/5"], ["107", "2/5"], ["111", "1/5"]]}}, {"id": "a77-outcome-177", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7177, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 108 units with mass 2/5; value 110 units with mass 2/5; value 114 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 108 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7177: 108 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7177, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 108 units with mass 2/5; value 110 units with mass 2/5; value 114 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 108 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 108 units is likeliest-outcome(R7177).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "retry count", "boundary": "tied-modes", "variant": "1", "oracle": {"mean": "110", "modes": ["108", "110"], "value": "108", "flags": [true, true, false, false], "masses": {"108": "2/5", "110": "2/5", "114": "1/5"}, "paths": [["108", "2/5"], ["110", "2/5"], ["114", "1/5"]]}}, {"id": "a77-outcome-178", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7178, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 118 units with mass 2/5; value 120 units with mass 2/5; value 124 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 118 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7178: 118 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7178, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 118 units with mass 2/5; value 120 units with mass 2/5; value 124 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 118 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 118 units is likeliest-outcome(R7178).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "resource use", "boundary": "tied-modes", "variant": "1", "oracle": {"mean": "120", "modes": ["118", "120"], "value": "118", "flags": [true, true, false, false], "masses": {"118": "2/5", "120": "2/5", "124": "1/5"}, "paths": [["118", "2/5"], ["120", "2/5"], ["124", "1/5"]]}}, {"id": "a77-outcome-179", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7179, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 121 units with mass 2/5; value 123 units with mass 2/5; value 127 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 121 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7179: 121 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7179, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 121 units with mass 2/5; value 123 units with mass 2/5; value 127 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 121 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 121 units is likeliest-outcome(R7179).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "simulated inventory", "boundary": "tied-modes", "variant": "1", "oracle": {"mean": "123", "modes": ["121", "123"], "value": "121", "flags": [true, true, false, false], "masses": {"121": "2/5", "123": "2/5", "127": "1/5"}, "paths": [["121", "2/5"], ["123", "2/5"], ["127", "1/5"]]}}, {"id": "a77-outcome-180", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7180, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 124 units with mass 2/5; value 126 units with mass 2/5; value 130 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 124 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7180: 124 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7180, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 124 units with mass 2/5; value 126 units with mass 2/5; value 130 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 124 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 124 units is likeliest-outcome(R7180).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "generated batch size", "boundary": "tied-modes", "variant": "1", "oracle": {"mean": "126", "modes": ["124", "126"], "value": "124", "flags": [true, true, false, false], "masses": {"124": "2/5", "126": "2/5", "130": "1/5"}, "paths": [["124", "2/5"], ["126", "2/5"], ["130", "1/5"]]}}, {"id": "a77-outcome-181", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7181, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 107 units with mass 2/5; value 109 units with mass 2/5; value 113 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7181: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7181, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 107 units with mass 2/5; value 109 units with mass 2/5; value 113 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7181).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "toy output", "boundary": "tied-modes", "variant": "2", "oracle": {"mean": "109", "modes": ["107", "109"], "value": "0", "flags": [false, false, false, false], "masses": {"107": "2/5", "109": "2/5", "113": "1/5"}, "paths": [["107", "2/5"], ["109", "2/5"], ["113", "1/5"]]}}, {"id": "a77-outcome-182", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7182, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 110 units with mass 2/5; value 112 units with mass 2/5; value 116 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7182: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7182, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 110 units with mass 2/5; value 112 units with mass 2/5; value 116 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7182).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "queue delay", "boundary": "tied-modes", "variant": "2", "oracle": {"mean": "112", "modes": ["110", "112"], "value": "0", "flags": [false, false, false, false], "masses": {"110": "2/5", "112": "2/5", "116": "1/5"}, "paths": [["110", "2/5"], ["112", "2/5"], ["116", "1/5"]]}}, {"id": "a77-outcome-183", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7183, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 113 units with mass 2/5; value 115 units with mass 2/5; value 119 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7183: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7183, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 113 units with mass 2/5; value 115 units with mass 2/5; value 119 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7183).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "retry count", "boundary": "tied-modes", "variant": "2", "oracle": {"mean": "115", "modes": ["113", "115"], "value": "0", "flags": [false, false, false, false], "masses": {"113": "2/5", "115": "2/5", "119": "1/5"}, "paths": [["113", "2/5"], ["115", "2/5"], ["119", "1/5"]]}}, {"id": "a77-outcome-184", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7184, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 123 units with mass 2/5; value 125 units with mass 2/5; value 129 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7184: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7184, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 123 units with mass 2/5; value 125 units with mass 2/5; value 129 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7184).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "resource use", "boundary": "tied-modes", "variant": "2", "oracle": {"mean": "125", "modes": ["123", "125"], "value": "0", "flags": [false, false, false, false], "masses": {"123": "2/5", "125": "2/5", "129": "1/5"}, "paths": [["123", "2/5"], ["125", "2/5"], ["129", "1/5"]]}}, {"id": "a77-outcome-185", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7185, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 126 units with mass 2/5; value 128 units with mass 2/5; value 132 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7185: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7185, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 126 units with mass 2/5; value 128 units with mass 2/5; value 132 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7185).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "simulated inventory", "boundary": "tied-modes", "variant": "2", "oracle": {"mean": "128", "modes": ["126", "128"], "value": "0", "flags": [false, false, false, false], "masses": {"126": "2/5", "128": "2/5", "132": "1/5"}, "paths": [["126", "2/5"], ["128", "2/5"], ["132", "1/5"]]}}, {"id": "a77-outcome-186", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7186, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 129 units with mass 2/5; value 131 units with mass 2/5; value 135 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7186: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7186, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 129 units with mass 2/5; value 131 units with mass 2/5; value 135 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7186).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "generated batch size", "boundary": "tied-modes", "variant": "2", "oracle": {"mean": "131", "modes": ["129", "131"], "value": "0", "flags": [false, false, false, false], "masses": {"129": "2/5", "131": "2/5", "135": "1/5"}, "paths": [["129", "2/5"], ["131", "2/5"], ["135", "1/5"]]}}, {"id": "a77-outcome-187", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7187, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 139 units with mass 2/5; value 141 units with mass 2/5; value 145 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7187: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7187, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 139 units with mass 2/5; value 141 units with mass 2/5; value 145 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7187).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "toy output", "boundary": "tied-modes", "variant": "3", "oracle": {"mean": "141", "modes": ["139", "141"], "value": "0", "flags": [false, false, false, false], "masses": {"139": "2/5", "141": "2/5", "145": "1/5"}, "paths": [["139", "2/5"], ["141", "2/5"], ["145", "1/5"]]}}, {"id": "a77-outcome-188", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7188, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 142 units with mass 2/5; value 144 units with mass 2/5; value 148 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7188: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7188, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 142 units with mass 2/5; value 144 units with mass 2/5; value 148 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7188).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "queue delay", "boundary": "tied-modes", "variant": "3", "oracle": {"mean": "144", "modes": ["142", "144"], "value": "0", "flags": [false, false, false, false], "masses": {"142": "2/5", "144": "2/5", "148": "1/5"}, "paths": [["142", "2/5"], ["144", "2/5"], ["148", "1/5"]]}}, {"id": "a77-outcome-189", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7189, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 145 units with mass 2/5; value 147 units with mass 2/5; value 151 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7189: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7189, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 145 units with mass 2/5; value 147 units with mass 2/5; value 151 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7189).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "retry count", "boundary": "tied-modes", "variant": "3", "oracle": {"mean": "147", "modes": ["145", "147"], "value": "0", "flags": [false, false, false, false], "masses": {"145": "2/5", "147": "2/5", "151": "1/5"}, "paths": [["145", "2/5"], ["147", "2/5"], ["151", "1/5"]]}}, {"id": "a77-outcome-190", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7190, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 155 units with mass 2/5; value 157 units with mass 2/5; value 161 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7190: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7190, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 155 units with mass 2/5; value 157 units with mass 2/5; value 161 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7190).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "resource use", "boundary": "tied-modes", "variant": "3", "oracle": {"mean": "157", "modes": ["155", "157"], "value": "0", "flags": [false, false, false, false], "masses": {"155": "2/5", "157": "2/5", "161": "1/5"}, "paths": [["155", "2/5"], ["157", "2/5"], ["161", "1/5"]]}}, {"id": "a77-outcome-191", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7191, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 158 units with mass 2/5; value 160 units with mass 2/5; value 164 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7191: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7191, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 158 units with mass 2/5; value 160 units with mass 2/5; value 164 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7191).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "simulated inventory", "boundary": "tied-modes", "variant": "3", "oracle": {"mean": "160", "modes": ["158", "160"], "value": "0", "flags": [false, false, false, false], "masses": {"158": "2/5", "160": "2/5", "164": "1/5"}, "paths": [["158", "2/5"], ["160", "2/5"], ["164", "1/5"]]}}, {"id": "a77-outcome-192", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7192, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 161 units with mass 2/5; value 163 units with mass 2/5; value 167 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7192: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7192, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 161 units with mass 2/5; value 163 units with mass 2/5; value 167 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7192).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "generated batch size", "boundary": "tied-modes", "variant": "3", "oracle": {"mean": "163", "modes": ["161", "163"], "value": "0", "flags": [false, false, false, false], "masses": {"161": "2/5", "163": "2/5", "167": "1/5"}, "paths": [["161", "2/5"], ["163", "2/5"], ["167", "1/5"]]}}, {"id": "a77-outcome-193", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7193, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 70 units with mass 1/4; value 72 units with mass 1/2; value 74 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 72 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7193: 72 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7193, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 70 units with mass 1/4; value 72 units with mass 1/2; value 74 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 72 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 72 units is likeliest-outcome(R7193).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "toy output", "boundary": "mean-is-mode", "variant": "0", "oracle": {"mean": "72", "modes": ["72"], "value": "72", "flags": [true, true, true, false], "masses": {"70": "1/4", "72": "1/2", "74": "1/4"}, "paths": [["70", "1/4"], ["72", "1/2"], ["74", "1/4"]]}}, {"id": "a77-outcome-194", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7194, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 73 units with mass 1/4; value 75 units with mass 1/2; value 77 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 75 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7194: 75 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7194, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 73 units with mass 1/4; value 75 units with mass 1/2; value 77 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 75 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 75 units is likeliest-outcome(R7194).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "queue delay", "boundary": "mean-is-mode", "variant": "0", "oracle": {"mean": "75", "modes": ["75"], "value": "75", "flags": [true, true, true, false], "masses": {"73": "1/4", "75": "1/2", "77": "1/4"}, "paths": [["73", "1/4"], ["75", "1/2"], ["77", "1/4"]]}}, {"id": "a77-outcome-195", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7195, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 76 units with mass 1/4; value 78 units with mass 1/2; value 80 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 78 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7195: 78 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7195, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 76 units with mass 1/4; value 78 units with mass 1/2; value 80 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 78 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 78 units is likeliest-outcome(R7195).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "retry count", "boundary": "mean-is-mode", "variant": "0", "oracle": {"mean": "78", "modes": ["78"], "value": "78", "flags": [true, true, true, false], "masses": {"76": "1/4", "78": "1/2", "80": "1/4"}, "paths": [["76", "1/4"], ["78", "1/2"], ["80", "1/4"]]}}, {"id": "a77-outcome-196", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7196, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 86 units with mass 1/4; value 88 units with mass 1/2; value 90 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 88 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7196: 88 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7196, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 86 units with mass 1/4; value 88 units with mass 1/2; value 90 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 88 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 88 units is likeliest-outcome(R7196).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "resource use", "boundary": "mean-is-mode", "variant": "0", "oracle": {"mean": "88", "modes": ["88"], "value": "88", "flags": [true, true, true, false], "masses": {"86": "1/4", "88": "1/2", "90": "1/4"}, "paths": [["86", "1/4"], ["88", "1/2"], ["90", "1/4"]]}}, {"id": "a77-outcome-197", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7197, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 89 units with mass 1/4; value 91 units with mass 1/2; value 93 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 91 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7197: 91 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7197, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 89 units with mass 1/4; value 91 units with mass 1/2; value 93 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 91 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 91 units is likeliest-outcome(R7197).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "simulated inventory", "boundary": "mean-is-mode", "variant": "0", "oracle": {"mean": "91", "modes": ["91"], "value": "91", "flags": [true, true, true, false], "masses": {"89": "1/4", "91": "1/2", "93": "1/4"}, "paths": [["89", "1/4"], ["91", "1/2"], ["93", "1/4"]]}}, {"id": "a77-outcome-198", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7198, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 92 units with mass 1/4; value 94 units with mass 1/2; value 96 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 94 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7198: 94 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7198, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 92 units with mass 1/4; value 94 units with mass 1/2; value 96 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 94 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 94 units is likeliest-outcome(R7198).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "generated batch size", "boundary": "mean-is-mode", "variant": "0", "oracle": {"mean": "94", "modes": ["94"], "value": "94", "flags": [true, true, true, false], "masses": {"92": "1/4", "94": "1/2", "96": "1/4"}, "paths": [["92", "1/4"], ["94", "1/2"], ["96", "1/4"]]}}, {"id": "a77-outcome-199", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7199, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 102 units with mass 1/4; value 104 units with mass 1/2; value 106 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 104 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7199: 104 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7199, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 102 units with mass 1/4; value 104 units with mass 1/2; value 106 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 104 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 104 units is likeliest-outcome(R7199).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "toy output", "boundary": "mean-is-mode", "variant": "1", "oracle": {"mean": "104", "modes": ["104"], "value": "104", "flags": [true, true, true, false], "masses": {"102": "1/4", "104": "1/2", "106": "1/4"}, "paths": [["102", "1/4"], ["104", "1/2"], ["106", "1/4"]]}}, {"id": "a77-outcome-200", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7200, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 105 units with mass 1/4; value 107 units with mass 1/2; value 109 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 107 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7200: 107 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7200, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 105 units with mass 1/4; value 107 units with mass 1/2; value 109 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 107 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 107 units is likeliest-outcome(R7200).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "queue delay", "boundary": "mean-is-mode", "variant": "1", "oracle": {"mean": "107", "modes": ["107"], "value": "107", "flags": [true, true, true, false], "masses": {"105": "1/4", "107": "1/2", "109": "1/4"}, "paths": [["105", "1/4"], ["107", "1/2"], ["109", "1/4"]]}}, {"id": "a77-outcome-201", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7201, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 108 units with mass 1/4; value 110 units with mass 1/2; value 112 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 110 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7201: 110 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7201, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 108 units with mass 1/4; value 110 units with mass 1/2; value 112 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 110 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 110 units is likeliest-outcome(R7201).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "retry count", "boundary": "mean-is-mode", "variant": "1", "oracle": {"mean": "110", "modes": ["110"], "value": "110", "flags": [true, true, true, false], "masses": {"108": "1/4", "110": "1/2", "112": "1/4"}, "paths": [["108", "1/4"], ["110", "1/2"], ["112", "1/4"]]}}, {"id": "a77-outcome-202", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7202, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 118 units with mass 1/4; value 120 units with mass 1/2; value 122 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 120 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7202: 120 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7202, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 118 units with mass 1/4; value 120 units with mass 1/2; value 122 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 120 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 120 units is likeliest-outcome(R7202).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "resource use", "boundary": "mean-is-mode", "variant": "1", "oracle": {"mean": "120", "modes": ["120"], "value": "120", "flags": [true, true, true, false], "masses": {"118": "1/4", "120": "1/2", "122": "1/4"}, "paths": [["118", "1/4"], ["120", "1/2"], ["122", "1/4"]]}}, {"id": "a77-outcome-203", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7203, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 121 units with mass 1/4; value 123 units with mass 1/2; value 125 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 123 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7203: 123 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7203, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 121 units with mass 1/4; value 123 units with mass 1/2; value 125 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 123 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 123 units is likeliest-outcome(R7203).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "simulated inventory", "boundary": "mean-is-mode", "variant": "1", "oracle": {"mean": "123", "modes": ["123"], "value": "123", "flags": [true, true, true, false], "masses": {"121": "1/4", "123": "1/2", "125": "1/4"}, "paths": [["121", "1/4"], ["123", "1/2"], ["125", "1/4"]]}}, {"id": "a77-outcome-204", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7204, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 124 units with mass 1/4; value 126 units with mass 1/2; value 128 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 126 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7204: 126 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7204, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 124 units with mass 1/4; value 126 units with mass 1/2; value 128 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 126 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 126 units is likeliest-outcome(R7204).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "generated batch size", "boundary": "mean-is-mode", "variant": "1", "oracle": {"mean": "126", "modes": ["126"], "value": "126", "flags": [true, true, true, false], "masses": {"124": "1/4", "126": "1/2", "128": "1/4"}, "paths": [["124", "1/4"], ["126", "1/2"], ["128", "1/4"]]}}, {"id": "a77-outcome-205", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7205, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 107 units with mass 1/4; value 109 units with mass 1/2; value 111 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7205: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7205, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 107 units with mass 1/4; value 109 units with mass 1/2; value 111 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7205).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "toy output", "boundary": "mean-is-mode", "variant": "2", "oracle": {"mean": "109", "modes": ["109"], "value": "0", "flags": [false, false, false, false], "masses": {"107": "1/4", "109": "1/2", "111": "1/4"}, "paths": [["107", "1/4"], ["109", "1/2"], ["111", "1/4"]]}}, {"id": "a77-outcome-206", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7206, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 110 units with mass 1/4; value 112 units with mass 1/2; value 114 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7206: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7206, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 110 units with mass 1/4; value 112 units with mass 1/2; value 114 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7206).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "queue delay", "boundary": "mean-is-mode", "variant": "2", "oracle": {"mean": "112", "modes": ["112"], "value": "0", "flags": [false, false, false, false], "masses": {"110": "1/4", "112": "1/2", "114": "1/4"}, "paths": [["110", "1/4"], ["112", "1/2"], ["114", "1/4"]]}}, {"id": "a77-outcome-207", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7207, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 113 units with mass 1/4; value 115 units with mass 1/2; value 117 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7207: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7207, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 113 units with mass 1/4; value 115 units with mass 1/2; value 117 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7207).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "retry count", "boundary": "mean-is-mode", "variant": "2", "oracle": {"mean": "115", "modes": ["115"], "value": "0", "flags": [false, false, false, false], "masses": {"113": "1/4", "115": "1/2", "117": "1/4"}, "paths": [["113", "1/4"], ["115", "1/2"], ["117", "1/4"]]}}, {"id": "a77-outcome-208", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7208, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 123 units with mass 1/4; value 125 units with mass 1/2; value 127 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7208: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7208, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 123 units with mass 1/4; value 125 units with mass 1/2; value 127 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7208).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "resource use", "boundary": "mean-is-mode", "variant": "2", "oracle": {"mean": "125", "modes": ["125"], "value": "0", "flags": [false, false, false, false], "masses": {"123": "1/4", "125": "1/2", "127": "1/4"}, "paths": [["123", "1/4"], ["125", "1/2"], ["127", "1/4"]]}}, {"id": "a77-outcome-209", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7209, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 126 units with mass 1/4; value 128 units with mass 1/2; value 130 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7209: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7209, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 126 units with mass 1/4; value 128 units with mass 1/2; value 130 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7209).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "simulated inventory", "boundary": "mean-is-mode", "variant": "2", "oracle": {"mean": "128", "modes": ["128"], "value": "0", "flags": [false, false, false, false], "masses": {"126": "1/4", "128": "1/2", "130": "1/4"}, "paths": [["126", "1/4"], ["128", "1/2"], ["130", "1/4"]]}}, {"id": "a77-outcome-210", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7210, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 129 units with mass 1/4; value 131 units with mass 1/2; value 133 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7210: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7210, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 129 units with mass 1/4; value 131 units with mass 1/2; value 133 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7210).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "generated batch size", "boundary": "mean-is-mode", "variant": "2", "oracle": {"mean": "131", "modes": ["131"], "value": "0", "flags": [false, false, false, false], "masses": {"129": "1/4", "131": "1/2", "133": "1/4"}, "paths": [["129", "1/4"], ["131", "1/2"], ["133", "1/4"]]}}, {"id": "a77-outcome-211", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7211, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 139 units with mass 1/4; value 141 units with mass 1/2; value 143 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7211: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7211, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 139 units with mass 1/4; value 141 units with mass 1/2; value 143 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7211).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "toy output", "boundary": "mean-is-mode", "variant": "3", "oracle": {"mean": "141", "modes": ["141"], "value": "0", "flags": [false, false, false, false], "masses": {"139": "1/4", "141": "1/2", "143": "1/4"}, "paths": [["139", "1/4"], ["141", "1/2"], ["143", "1/4"]]}}, {"id": "a77-outcome-212", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7212, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 142 units with mass 1/4; value 144 units with mass 1/2; value 146 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7212: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7212, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 142 units with mass 1/4; value 144 units with mass 1/2; value 146 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7212).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "queue delay", "boundary": "mean-is-mode", "variant": "3", "oracle": {"mean": "144", "modes": ["144"], "value": "0", "flags": [false, false, false, false], "masses": {"142": "1/4", "144": "1/2", "146": "1/4"}, "paths": [["142", "1/4"], ["144", "1/2"], ["146", "1/4"]]}}, {"id": "a77-outcome-213", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7213, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 145 units with mass 1/4; value 147 units with mass 1/2; value 149 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7213: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7213, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 145 units with mass 1/4; value 147 units with mass 1/2; value 149 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7213).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "retry count", "boundary": "mean-is-mode", "variant": "3", "oracle": {"mean": "147", "modes": ["147"], "value": "0", "flags": [false, false, false, false], "masses": {"145": "1/4", "147": "1/2", "149": "1/4"}, "paths": [["145", "1/4"], ["147", "1/2"], ["149", "1/4"]]}}, {"id": "a77-outcome-214", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7214, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 155 units with mass 1/4; value 157 units with mass 1/2; value 159 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7214: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7214, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 155 units with mass 1/4; value 157 units with mass 1/2; value 159 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7214).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "resource use", "boundary": "mean-is-mode", "variant": "3", "oracle": {"mean": "157", "modes": ["157"], "value": "0", "flags": [false, false, false, false], "masses": {"155": "1/4", "157": "1/2", "159": "1/4"}, "paths": [["155", "1/4"], ["157", "1/2"], ["159", "1/4"]]}}, {"id": "a77-outcome-215", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7215, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 158 units with mass 1/4; value 160 units with mass 1/2; value 162 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7215: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7215, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 158 units with mass 1/4; value 160 units with mass 1/2; value 162 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7215).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "simulated inventory", "boundary": "mean-is-mode", "variant": "3", "oracle": {"mean": "160", "modes": ["160"], "value": "0", "flags": [false, false, false, false], "masses": {"158": "1/4", "160": "1/2", "162": "1/4"}, "paths": [["158", "1/4"], ["160", "1/2"], ["162", "1/4"]]}}, {"id": "a77-outcome-216", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7216, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 161 units with mass 1/4; value 163 units with mass 1/2; value 165 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7216: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7216, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 161 units with mass 1/4; value 163 units with mass 1/2; value 165 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7216).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "generated batch size", "boundary": "mean-is-mode", "variant": "3", "oracle": {"mean": "163", "modes": ["163"], "value": "0", "flags": [false, false, false, false], "masses": {"161": "1/4", "163": "1/2", "165": "1/4"}, "paths": [["161", "1/4"], ["163", "1/2"], ["165", "1/4"]]}}, {"id": "a77-outcome-217", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7217, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 70 units with mass 1/5; value 72 units with mass 3/10; value 72 units with mass 3/10; value 74 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 72 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7217: 72 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7217, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 70 units with mass 1/5; value 72 units with mass 3/10; value 72 units with mass 3/10; value 74 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 72 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 72 units is likeliest-outcome(R7217).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "toy output", "boundary": "aggregate-paths", "variant": "0", "oracle": {"mean": "72", "modes": ["72"], "value": "72", "flags": [true, true, true, false], "masses": {"70": "1/5", "72": "3/5", "74": "1/5"}, "paths": [["70", "1/5"], ["72", "3/10"], ["72", "3/10"], ["74", "1/5"]]}}, {"id": "a77-outcome-218", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7218, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 73 units with mass 1/5; value 75 units with mass 3/10; value 75 units with mass 3/10; value 77 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 75 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7218: 75 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7218, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 73 units with mass 1/5; value 75 units with mass 3/10; value 75 units with mass 3/10; value 77 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 75 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 75 units is likeliest-outcome(R7218).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "queue delay", "boundary": "aggregate-paths", "variant": "0", "oracle": {"mean": "75", "modes": ["75"], "value": "75", "flags": [true, true, true, false], "masses": {"73": "1/5", "75": "3/5", "77": "1/5"}, "paths": [["73", "1/5"], ["75", "3/10"], ["75", "3/10"], ["77", "1/5"]]}}, {"id": "a77-outcome-219", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7219, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 76 units with mass 1/5; value 78 units with mass 3/10; value 78 units with mass 3/10; value 80 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 78 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7219: 78 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7219, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 76 units with mass 1/5; value 78 units with mass 3/10; value 78 units with mass 3/10; value 80 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 78 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 78 units is likeliest-outcome(R7219).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "retry count", "boundary": "aggregate-paths", "variant": "0", "oracle": {"mean": "78", "modes": ["78"], "value": "78", "flags": [true, true, true, false], "masses": {"76": "1/5", "78": "3/5", "80": "1/5"}, "paths": [["76", "1/5"], ["78", "3/10"], ["78", "3/10"], ["80", "1/5"]]}}, {"id": "a77-outcome-220", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7220, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 86 units with mass 1/5; value 88 units with mass 3/10; value 88 units with mass 3/10; value 90 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 88 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7220: 88 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7220, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 86 units with mass 1/5; value 88 units with mass 3/10; value 88 units with mass 3/10; value 90 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 88 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 88 units is likeliest-outcome(R7220).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "resource use", "boundary": "aggregate-paths", "variant": "0", "oracle": {"mean": "88", "modes": ["88"], "value": "88", "flags": [true, true, true, false], "masses": {"86": "1/5", "88": "3/5", "90": "1/5"}, "paths": [["86", "1/5"], ["88", "3/10"], ["88", "3/10"], ["90", "1/5"]]}}, {"id": "a77-outcome-221", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7221, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 89 units with mass 1/5; value 91 units with mass 3/10; value 91 units with mass 3/10; value 93 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 91 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7221: 91 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7221, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 89 units with mass 1/5; value 91 units with mass 3/10; value 91 units with mass 3/10; value 93 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 91 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 91 units is likeliest-outcome(R7221).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "simulated inventory", "boundary": "aggregate-paths", "variant": "0", "oracle": {"mean": "91", "modes": ["91"], "value": "91", "flags": [true, true, true, false], "masses": {"89": "1/5", "91": "3/5", "93": "1/5"}, "paths": [["89", "1/5"], ["91", "3/10"], ["91", "3/10"], ["93", "1/5"]]}}, {"id": "a77-outcome-222", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7222, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 92 units with mass 1/5; value 94 units with mass 3/10; value 94 units with mass 3/10; value 96 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 94 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7222: 94 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7222, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 92 units with mass 1/5; value 94 units with mass 3/10; value 94 units with mass 3/10; value 96 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 94 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 94 units is likeliest-outcome(R7222).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "generated batch size", "boundary": "aggregate-paths", "variant": "0", "oracle": {"mean": "94", "modes": ["94"], "value": "94", "flags": [true, true, true, false], "masses": {"92": "1/5", "94": "3/5", "96": "1/5"}, "paths": [["92", "1/5"], ["94", "3/10"], ["94", "3/10"], ["96", "1/5"]]}}, {"id": "a77-outcome-223", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7223, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 102 units with mass 1/5; value 104 units with mass 3/10; value 104 units with mass 3/10; value 106 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 104 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7223: 104 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7223, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 102 units with mass 1/5; value 104 units with mass 3/10; value 104 units with mass 3/10; value 106 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 104 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 104 units is likeliest-outcome(R7223).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "toy output", "boundary": "aggregate-paths", "variant": "1", "oracle": {"mean": "104", "modes": ["104"], "value": "104", "flags": [true, true, true, false], "masses": {"102": "1/5", "104": "3/5", "106": "1/5"}, "paths": [["102", "1/5"], ["104", "3/10"], ["104", "3/10"], ["106", "1/5"]]}}, {"id": "a77-outcome-224", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7224, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 105 units with mass 1/5; value 107 units with mass 3/10; value 107 units with mass 3/10; value 109 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 107 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7224: 107 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7224, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 105 units with mass 1/5; value 107 units with mass 3/10; value 107 units with mass 3/10; value 109 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 107 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 107 units is likeliest-outcome(R7224).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "queue delay", "boundary": "aggregate-paths", "variant": "1", "oracle": {"mean": "107", "modes": ["107"], "value": "107", "flags": [true, true, true, false], "masses": {"105": "1/5", "107": "3/5", "109": "1/5"}, "paths": [["105", "1/5"], ["107", "3/10"], ["107", "3/10"], ["109", "1/5"]]}}, {"id": "a77-outcome-225", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7225, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 108 units with mass 1/5; value 110 units with mass 3/10; value 110 units with mass 3/10; value 112 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 110 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7225: 110 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7225, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 108 units with mass 1/5; value 110 units with mass 3/10; value 110 units with mass 3/10; value 112 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 110 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 110 units is likeliest-outcome(R7225).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "retry count", "boundary": "aggregate-paths", "variant": "1", "oracle": {"mean": "110", "modes": ["110"], "value": "110", "flags": [true, true, true, false], "masses": {"108": "1/5", "110": "3/5", "112": "1/5"}, "paths": [["108", "1/5"], ["110", "3/10"], ["110", "3/10"], ["112", "1/5"]]}}, {"id": "a77-outcome-226", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7226, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 118 units with mass 1/5; value 120 units with mass 3/10; value 120 units with mass 3/10; value 122 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 120 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7226: 120 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7226, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 118 units with mass 1/5; value 120 units with mass 3/10; value 120 units with mass 3/10; value 122 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 120 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 120 units is likeliest-outcome(R7226).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "resource use", "boundary": "aggregate-paths", "variant": "1", "oracle": {"mean": "120", "modes": ["120"], "value": "120", "flags": [true, true, true, false], "masses": {"118": "1/5", "120": "3/5", "122": "1/5"}, "paths": [["118", "1/5"], ["120", "3/10"], ["120", "3/10"], ["122", "1/5"]]}}, {"id": "a77-outcome-227", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7227, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 121 units with mass 1/5; value 123 units with mass 3/10; value 123 units with mass 3/10; value 125 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 123 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7227: 123 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7227, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 121 units with mass 1/5; value 123 units with mass 3/10; value 123 units with mass 3/10; value 125 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 123 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 123 units is likeliest-outcome(R7227).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "simulated inventory", "boundary": "aggregate-paths", "variant": "1", "oracle": {"mean": "123", "modes": ["123"], "value": "123", "flags": [true, true, true, false], "masses": {"121": "1/5", "123": "3/5", "125": "1/5"}, "paths": [["121", "1/5"], ["123", "3/10"], ["123", "3/10"], ["125", "1/5"]]}}, {"id": "a77-outcome-228", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7228, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 124 units with mass 1/5; value 126 units with mass 3/10; value 126 units with mass 3/10; value 128 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 126 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7228: 126 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7228, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 124 units with mass 1/5; value 126 units with mass 3/10; value 126 units with mass 3/10; value 128 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 126 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 126 units is likeliest-outcome(R7228).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "generated batch size", "boundary": "aggregate-paths", "variant": "1", "oracle": {"mean": "126", "modes": ["126"], "value": "126", "flags": [true, true, true, false], "masses": {"124": "1/5", "126": "3/5", "128": "1/5"}, "paths": [["124", "1/5"], ["126", "3/10"], ["126", "3/10"], ["128", "1/5"]]}}, {"id": "a77-outcome-229", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7229, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 107 units with mass 1/5; value 109 units with mass 3/10; value 109 units with mass 3/10; value 111 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7229: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7229, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 107 units with mass 1/5; value 109 units with mass 3/10; value 109 units with mass 3/10; value 111 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7229).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "toy output", "boundary": "aggregate-paths", "variant": "2", "oracle": {"mean": "109", "modes": ["109"], "value": "0", "flags": [false, false, false, false], "masses": {"107": "1/5", "109": "3/5", "111": "1/5"}, "paths": [["107", "1/5"], ["109", "3/10"], ["109", "3/10"], ["111", "1/5"]]}}, {"id": "a77-outcome-230", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7230, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 110 units with mass 1/5; value 112 units with mass 3/10; value 112 units with mass 3/10; value 114 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7230: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7230, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 110 units with mass 1/5; value 112 units with mass 3/10; value 112 units with mass 3/10; value 114 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7230).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "queue delay", "boundary": "aggregate-paths", "variant": "2", "oracle": {"mean": "112", "modes": ["112"], "value": "0", "flags": [false, false, false, false], "masses": {"110": "1/5", "112": "3/5", "114": "1/5"}, "paths": [["110", "1/5"], ["112", "3/10"], ["112", "3/10"], ["114", "1/5"]]}}, {"id": "a77-outcome-231", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7231, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 113 units with mass 1/5; value 115 units with mass 3/10; value 115 units with mass 3/10; value 117 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7231: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7231, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 113 units with mass 1/5; value 115 units with mass 3/10; value 115 units with mass 3/10; value 117 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7231).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "retry count", "boundary": "aggregate-paths", "variant": "2", "oracle": {"mean": "115", "modes": ["115"], "value": "0", "flags": [false, false, false, false], "masses": {"113": "1/5", "115": "3/5", "117": "1/5"}, "paths": [["113", "1/5"], ["115", "3/10"], ["115", "3/10"], ["117", "1/5"]]}}, {"id": "a77-outcome-232", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7232, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 123 units with mass 1/5; value 125 units with mass 3/10; value 125 units with mass 3/10; value 127 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7232: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7232, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 123 units with mass 1/5; value 125 units with mass 3/10; value 125 units with mass 3/10; value 127 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7232).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "resource use", "boundary": "aggregate-paths", "variant": "2", "oracle": {"mean": "125", "modes": ["125"], "value": "0", "flags": [false, false, false, false], "masses": {"123": "1/5", "125": "3/5", "127": "1/5"}, "paths": [["123", "1/5"], ["125", "3/10"], ["125", "3/10"], ["127", "1/5"]]}}, {"id": "a77-outcome-233", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7233, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 126 units with mass 1/5; value 128 units with mass 3/10; value 128 units with mass 3/10; value 130 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7233: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7233, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 126 units with mass 1/5; value 128 units with mass 3/10; value 128 units with mass 3/10; value 130 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7233).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "simulated inventory", "boundary": "aggregate-paths", "variant": "2", "oracle": {"mean": "128", "modes": ["128"], "value": "0", "flags": [false, false, false, false], "masses": {"126": "1/5", "128": "3/5", "130": "1/5"}, "paths": [["126", "1/5"], ["128", "3/10"], ["128", "3/10"], ["130", "1/5"]]}}, {"id": "a77-outcome-234", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7234, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 129 units with mass 1/5; value 131 units with mass 3/10; value 131 units with mass 3/10; value 133 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7234: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7234, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 129 units with mass 1/5; value 131 units with mass 3/10; value 131 units with mass 3/10; value 133 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7234).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "generated batch size", "boundary": "aggregate-paths", "variant": "2", "oracle": {"mean": "131", "modes": ["131"], "value": "0", "flags": [false, false, false, false], "masses": {"129": "1/5", "131": "3/5", "133": "1/5"}, "paths": [["129", "1/5"], ["131", "3/10"], ["131", "3/10"], ["133", "1/5"]]}}, {"id": "a77-outcome-235", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7235, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 139 units with mass 1/5; value 141 units with mass 3/10; value 141 units with mass 3/10; value 143 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7235: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model R7235, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 139 units with mass 1/5; value 141 units with mass 3/10; value 141 units with mass 3/10; value 143 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7235).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "toy output", "boundary": "aggregate-paths", "variant": "3", "oracle": {"mean": "141", "modes": ["141"], "value": "0", "flags": [false, false, false, false], "masses": {"139": "1/5", "141": "3/5", "143": "1/5"}, "paths": [["139", "1/5"], ["141", "3/10"], ["141", "3/10"], ["143", "1/5"]]}}, {"id": "a77-outcome-236", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7236, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 142 units with mass 1/5; value 144 units with mass 3/10; value 144 units with mass 3/10; value 146 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7236: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model R7236, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 142 units with mass 1/5; value 144 units with mass 3/10; value 144 units with mass 3/10; value 146 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7236).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "queue delay", "boundary": "aggregate-paths", "variant": "3", "oracle": {"mean": "144", "modes": ["144"], "value": "0", "flags": [false, false, false, false], "masses": {"142": "1/5", "144": "3/5", "146": "1/5"}, "paths": [["142", "1/5"], ["144", "3/10"], ["144", "3/10"], ["146", "1/5"]]}}, {"id": "a77-outcome-237", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7237, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 145 units with mass 1/5; value 147 units with mass 3/10; value 147 units with mass 3/10; value 149 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7237: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model R7237, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 145 units with mass 1/5; value 147 units with mass 3/10; value 147 units with mass 3/10; value 149 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7237).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "retry count", "boundary": "aggregate-paths", "variant": "3", "oracle": {"mean": "147", "modes": ["147"], "value": "0", "flags": [false, false, false, false], "masses": {"145": "1/5", "147": "3/5", "149": "1/5"}, "paths": [["145", "1/5"], ["147", "3/10"], ["147", "3/10"], ["149", "1/5"]]}}, {"id": "a77-outcome-238", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7238, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 155 units with mass 1/5; value 157 units with mass 3/10; value 157 units with mass 3/10; value 159 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7238: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model R7238, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 155 units with mass 1/5; value 157 units with mass 3/10; value 157 units with mass 3/10; value 159 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7238).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "resource use", "boundary": "aggregate-paths", "variant": "3", "oracle": {"mean": "157", "modes": ["157"], "value": "0", "flags": [false, false, false, false], "masses": {"155": "1/5", "157": "3/5", "159": "1/5"}, "paths": [["155", "1/5"], ["157", "3/10"], ["157", "3/10"], ["159", "1/5"]]}}, {"id": "a77-outcome-239", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7239, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 158 units with mass 1/5; value 160 units with mass 3/10; value 160 units with mass 3/10; value 162 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7239: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model R7239, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 158 units with mass 1/5; value 160 units with mass 3/10; value 160 units with mass 3/10; value 162 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7239).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "simulated inventory", "boundary": "aggregate-paths", "variant": "3", "oracle": {"mean": "160", "modes": ["160"], "value": "0", "flags": [false, false, false, false], "masses": {"158": "1/5", "160": "3/5", "162": "1/5"}, "paths": [["158", "1/5"], ["160", "3/10"], ["160", "3/10"], ["162", "1/5"]]}}, {"id": "a77-outcome-240", "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7240, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 161 units with mass 1/5; value 163 units with mass 3/10; value 163 units with mass 3/10; value 165 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under R7240: 0 units.", "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model R7240, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 161 units with mass 1/5; value 163 units with mass 3/10; value 163 units with mass 3/10; value 165 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(R7240).", "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.", "options": ["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.", "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."], "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.", "settlement_stratum": "likeliest-outcome", "domain": "generated batch size", "boundary": "aggregate-paths", "variant": "3", "oracle": {"mean": "163", "modes": ["163"], "value": "0", "flags": [false, false, false, false], "masses": {"161": "1/5", "163": "3/5", "165": "1/5"}, "paths": [["161", "1/5"], ["163", "3/10"], ["163", "3/10"], ["165", "1/5"]]}}, {"id": "a77m-cal-00", "english": "Neutral receipt T-1200: the collector is not recorded.", "ainglish": "Neutral receipt T-1200: the collector is Nadia.", "question": "Who collected the parcel on receipt T-1200?", "options": ["Nadia", "Omar", "Pilar", "Quinn", "Rafe", "Suri", "not determined"], "answer": "Nadia", "calibration": true, "calibration_scope": "target-independent", "calibration_construct": "resolved custody"}, {"id": "a77m-cal-01", "english": "Neutral receipt T-1201: the collector is not recorded.", "ainglish": "Neutral receipt T-1201: the collector is Omar.", "question": "Who collected the parcel on receipt T-1201?", "options": ["Nadia", "Omar", "Pilar", "Quinn", "Rafe", "Suri", "not determined"], "answer": "Omar", "calibration": true, "calibration_scope": "target-independent", "calibration_construct": "resolved custody"}, {"id": "a77m-cal-02", "english": "Neutral receipt T-1202: the collector is not recorded.", "ainglish": "Neutral receipt T-1202: the collector is Pilar.", "question": "Who collected the parcel on receipt T-1202?", "options": ["Nadia", "Omar", "Pilar", "Quinn", "Rafe", "Suri", "not determined"], "answer": "Pilar", "calibration": true, "calibration_scope": "target-independent", "calibration_construct": "resolved custody"}, {"id": "a77m-cal-03", "english": "Neutral receipt T-1203: the collector is not recorded.", "ainglish": "Neutral receipt T-1203: the collector is Quinn.", "question": "Who collected the parcel on receipt T-1203?", "options": ["Nadia", "Omar", "Pilar", "Quinn", "Rafe", "Suri", "not determined"], "answer": "Quinn", "calibration": true, "calibration_scope": "target-independent", "calibration_construct": "resolved custody"}, {"id": "a77m-cal-04", "english": "Neutral receipt T-1204: the collector is not recorded.", "ainglish": "Neutral receipt T-1204: the collector is Rafe.", "question": "Who collected the parcel on receipt T-1204?", "options": ["Nadia", "Omar", "Pilar", "Quinn", "Rafe", "Suri", "not determined"], "answer": "Rafe", "calibration": true, "calibration_scope": "target-independent", "calibration_construct": "resolved custody"}, {"id": "a77m-cal-05", "english": "Neutral receipt T-1205: the collector is not recorded.", "ainglish": "Neutral receipt T-1205: the collector is Suri.", "question": "Who collected the parcel on receipt T-1205?", "options": ["Nadia", "Omar", "Pilar", "Quinn", "Rafe", "Suri", "not determined"], "answer": "Suri", "calibration": true, "calibration_scope": "target-independent", "calibration_construct": "resolved custody"}, {"id": "a77m-cal-06", "english": "Neutral receipt T-1206: the collector is not recorded.", "ainglish": "Neutral receipt T-1206: the collector is Nadia.", "question": "Who collected the parcel on receipt T-1206?", "options": ["Nadia", "Omar", "Pilar", "Quinn", "Rafe", "Suri", "not determined"], "answer": "Nadia", "calibration": true, "calibration_scope": "target-independent", "calibration_construct": "resolved custody"}, {"id": "a77m-cal-07", "english": "Neutral receipt T-1207: the collector is not recorded.", "ainglish": "Neutral receipt T-1207: the collector is Omar.", "question": "Who collected the parcel on receipt T-1207?", "options": ["Nadia", "Omar", "Pilar", "Quinn", "Rafe", "Suri", "not determined"], "answer": "Omar", "calibration": true, "calibration_scope": "target-independent", "calibration_construct": "resolved custody"}, {"id": "a77m-cal-08", "english": "Neutral receipt T-1208: the collector is not recorded.", "ainglish": "Neutral receipt T-1208: the collector is Pilar.", "question": "Who collected the parcel on receipt T-1208?", "options": ["Nadia", "Omar", "Pilar", "Quinn", "Rafe", "Suri", "not determined"], "answer": "Pilar", "calibration": true, "calibration_scope": "target-independent", "calibration_construct": "resolved custody"}, {"id": "a77m-cal-09", "english": "Neutral receipt T-1209: the collector is not recorded.", "ainglish": "Neutral receipt T-1209: the collector is Quinn.", "question": "Who collected the parcel on receipt T-1209?", "options": ["Nadia", "Omar", "Pilar", "Quinn", "Rafe", "Suri", "not determined"], "answer": "Quinn", "calibration": true, "calibration_scope": "target-independent", "calibration_construct": "resolved custody"}, {"id": "a77m-cal-10", "english": "Neutral receipt T-1210: the collector is not recorded.", "ainglish": "Neutral receipt T-1210: the collector is Rafe.", "question": "Who collected the parcel on receipt T-1210?", "options": ["Nadia", "Omar", "Pilar", "Quinn", "Rafe", "Suri", "not determined"], "answer": "Rafe", "calibration": true, "calibration_scope": "target-independent", "calibration_construct": "resolved custody"}, {"id": "a77m-cal-11", "english": "Neutral receipt T-1211: the collector is not recorded.", "ainglish": "Neutral receipt T-1211: the collector is Suri.", "question": "Who collected the parcel on receipt T-1211?", "options": ["Nadia", "Omar", "Pilar", "Quinn", "Rafe", "Suri", "not determined"], "answer": "Suri", "calibration": true, "calibration_scope": "target-independent", "calibration_construct": "resolved custody"}], "sha256": "2acdcbe63a8a453c132f4f43eefa70797e4cfe4bb2154b180a8575d6af0a47e0"}