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According to Bayes' Theorem, the probability of event A, given that event B has occurred, is as follows. P(A) P(B| A) P(A) • P(B| A) + P (A') •P(B| A') P(A| B) = Use Bayes' Theorem to find P(A| B) using the probabilities shown below. 1 P(A) =. P(A') = P(B| A) = , and P(B| A') = - 10 The probability of event A, given that event B has occurred, is P(A| B) =| %3D

According to Bayes' Theorem, the probability of event A, given that event B has occurred, is as follows. P(A) P(B| A) P(A) • P(B| A) + P (A') •P(B| A') P(A| B) = Use Bayes' Theorem to find P(A| B) using the probabilities shown below. 1 P(A) =. P(A') = P(B| A) = , and P(B| A') = - 10 The probability of event A, given that event B has occurred, is P(A| B) =| %3D

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 31E
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According to Bayes' Theorem, the probability of event A, given that event B has occurred, is as follows. P(A) P(B| A) P(A) • P(B| A) + P (A') •P(B| A') P(A| B) = Use Bayes' Theorem to find P(A| B) using the probabilities shown below. 1 7 PIA)=, P(A)=3, P(BI 시=. and P (B| A') 10 %3D The probability of event A, given that event B has occurred, is P(A| B)= . (Round to the nearest thousandth as needed.)
Transcribed Image Text:According to Bayes' Theorem, the probability of event A, given that event B has occurred, is as follows. P(A) P(B| A) P(A) • P(B| A) + P (A') •P(B| A') P(A| B) = Use Bayes' Theorem to find P(A| B) using the probabilities shown below. 1 7 PIA)=, P(A)=3, P(BI 시=. and P (B| A') 10 %3D The probability of event A, given that event B has occurred, is P(A| B)= . (Round to the nearest thousandth as needed.)
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