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.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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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