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The probability of event A, given that event B has occurred, can be found using Bayes' Theorem. P(A) P(BIA) P(A) • P(BIA) + P (A') .P (BIA) Use Bayes' Theorem to find P(AIB) using the probabilities shown below. P(A) = 68%, P (A') = 32%, P (B|A) = 43%, and P (B|A') = 53% P(A/B) = ... The probability of event A, given that event B has occurred, is (Round to three decimal places as needed.)

The probability of event A, given that event B has occurred, can be found using Bayes' Theorem. P(A) P(BIA) P(A) • P(BIA) + P (A') .P (BIA) Use Bayes' Theorem to find P(AIB) using the probabilities shown below. P(A) = 68%, P (A') = 32%, P (B|A) = 43%, and P (B|A') = 53% P(A/B) = ... The probability of event A, given that event B has occurred, is (Round to three decimal places as needed.)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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The probability of event A, given that event B has occurred, can be found using Bayes' Theorem. P(A) • P(BIA) P(A) • P(BIA)+P (A') •P (BIA) Use Bayes' Theorem to find P(A/B) using the probabilities shown below. P(A) = 68%, P (A') = 32%, P(B|A) = 43%, and P (B|A') = 53% P(A|B) = The probability of event A, given that event B has occurred, is (Round to three decimal places as needed.)
Transcribed Image Text:The probability of event A, given that event B has occurred, can be found using Bayes' Theorem. P(A) • P(BIA) P(A) • P(BIA)+P (A') •P (BIA) Use Bayes' Theorem to find P(A/B) using the probabilities shown below. P(A) = 68%, P (A') = 32%, P(B|A) = 43%, and P (B|A') = 53% P(A|B) = The probability of event A, given that event B has occurred, is (Round to three decimal places as needed.)
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