If A is the event that a convict committed arson and D is the event that the convict pushed dope, state in words what probabilities are expressed by (a) P(A | D); (b) P (D' IA); (c) P(A' ID').

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 41E
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If A is the event that a convict committed arson and D is the event that the convict pushed dope, state in words what
probabilities are expressed by
(a) P(A | D);
(b) P (D' IA);
(c) P (A' ID').
(a) State in words what probability is expressed by P(A | D).
O A. The probability that a convict who committed arson did not push dope.
O B. The probability that a convict who pushed dope also committed arson.
O C. The probability that a convict who committed arson also pushed dope.
O D. The probability that a convict who pushed dope did not commit arson.
(b) State in words what probability is expressed by P (D' | A).
O A. The probability that a convict who committed arson did not push dope.
O B. The probability that a convict who committed arson also pushed dope.
OC. The probability that a convict who pushed dope did not commit arson.
O D. The probability that a convict who pushed dope also committed arson.
Transcribed Image Text:If A is the event that a convict committed arson and D is the event that the convict pushed dope, state in words what probabilities are expressed by (a) P(A | D); (b) P (D' IA); (c) P (A' ID'). (a) State in words what probability is expressed by P(A | D). O A. The probability that a convict who committed arson did not push dope. O B. The probability that a convict who pushed dope also committed arson. O C. The probability that a convict who committed arson also pushed dope. O D. The probability that a convict who pushed dope did not commit arson. (b) State in words what probability is expressed by P (D' | A). O A. The probability that a convict who committed arson did not push dope. O B. The probability that a convict who committed arson also pushed dope. OC. The probability that a convict who pushed dope did not commit arson. O D. The probability that a convict who pushed dope also committed arson.
(c) State in words what probability is expressed by P (A' |D').
O A. The probability that a convict who did not commit arson also did not push dope.
O B. The probability that a convict who did not push dope also did not commit arson.
O C. The probability that a convict who committed arson did not push dope.
OD. The probability that a convict who pushed dope did not commit arson.
Transcribed Image Text:(c) State in words what probability is expressed by P (A' |D'). O A. The probability that a convict who did not commit arson also did not push dope. O B. The probability that a convict who did not push dope also did not commit arson. O C. The probability that a convict who committed arson did not push dope. OD. The probability that a convict who pushed dope did not commit arson.
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