A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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If T is the event that a convict committed theft and B is the event that the convict committed burglary, state in words what probabilities are expressed by (a) P(TIB); (b) P (B' IT); (c) P(T'IB'). (a) State in words what probability is expressed by P(TIB). O A. The probability that a convict who committed theft did not commit burglary. O B. The probability that a convict who committed burglary did not commit theft. O C. The probability that a convict who committed burglary also committed theft. O D. The probability that a convict who committed theft also committed burglary. (b) State in words what probability is expressed by P (B' IT). O A. The probability that a convict who committed burglary did not commit theft. O B. The probability that a convict who committed burglary also committed theft. OC. The probability that a convict who committed theft also committed burglary. O D. The probability that a convict who committed theft did not commit burglary.
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Transcribed Image Text:If T is the event that a convict committed theft and B is the event that the convict committed burglary, state in words what probabilities are expressed by (a) P(TIB); (b) P (B' IT); (c) P(T'IB'). (a) State in words what probability is expressed by P(TIB). O A. The probability that a convict who committed theft did not commit burglary. O B. The probability that a convict who committed burglary did not commit theft. O C. The probability that a convict who committed burglary also committed theft. O D. The probability that a convict who committed theft also committed burglary. (b) State in words what probability is expressed by P (B' IT). O A. The probability that a convict who committed burglary did not commit theft. O B. The probability that a convict who committed burglary also committed theft. OC. The probability that a convict who committed theft also committed burglary. O D. The probability that a convict who committed theft did not commit burglary.
(c) State in words what probability is expressed by P (T' | B'). O A. The probability that a convict who committed burglary did not commit theft. O B. The probability that a convict who did not commit theft also did not commit burglary. O C. The probability that a convict who did not commit burglary also did not commit theft. O D. The probability that a convict who committed theft did not commit burglary.
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Transcribed Image Text:(c) State in words what probability is expressed by P (T' | B'). O A. The probability that a convict who committed burglary did not commit theft. O B. The probability that a convict who did not commit theft also did not commit burglary. O C. The probability that a convict who did not commit burglary also did not commit theft. O D. The probability that a convict who committed theft did not commit burglary.
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Step 1: Introduction
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Step 2: a) State in words what probability is expressed by P(T/B)
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Step 3: b) State in words what probability is expressed by P(B'/T)
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Step 4: c) State in words what probability is expressed by P(T'/B')
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