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The probability of event A, given that event B has occurred, can be found using Bayes's Theorem. P(A|B)= P(A) P(B| A) P(A) P(BA)+P(A') · P(B|A') Use Bayes's Theorem to find P(A|B) using the probabilities shown below. P(A)=0.35, P(A)=0.65, P(B| A) = 0.1, and P(B| A') = 0.5 The probability of event A, given that event B has occurred, is (Round to the nearest thousandth as needed.)

The probability of event A, given that event B has occurred, can be found using Bayes's Theorem. P(A|B)= P(A) P(B| A) P(A) P(BA)+P(A') · P(B|A') Use Bayes's Theorem to find P(A|B) using the probabilities shown below. P(A)=0.35, P(A)=0.65, P(B| A) = 0.1, and P(B| A') = 0.5 The probability of event A, given that event B has occurred, is (Round to the nearest thousandth 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 31E
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The probability of event A, given that event B has occurred, can be found using Bayes's Theorem. P(A|B)= P(A) P(B| A) P(A) P(BA)+P(A') · P(B|A') Use Bayes's Theorem to find P(A|B) using the probabilities shown below. P(A)=0.35, P(A)=0.65, P(B| A) = 0.1, and P(B| A') = 0.5 The probability of event A, given that event B has occurred, is (Round to the nearest thousandth as needed.)
Transcribed Image Text:The probability of event A, given that event B has occurred, can be found using Bayes's Theorem. P(A|B)= P(A) P(B| A) P(A) P(BA)+P(A') · P(B|A') Use Bayes's Theorem to find P(A|B) using the probabilities shown below. P(A)=0.35, P(A)=0.65, P(B| A) = 0.1, and P(B| A') = 0.5 The probability of event A, given that event B has occurred, is (Round to the nearest thousandth as needed.)
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