5. Use Bayes' Theorem to calculate the indicated probability. Y, Y2, Y3 form a partition of S. P(X|Y1) = .4, P(X|Y2) = .5, P(X|Y,) = .6, P(Y,) = .8, P(Y,) = .1. Find P(Y,|X). Here is the %3D %3D %3D %3D %3D formula you will use... P(X|Y;)P(Y;) P(Y;\X) = %3D P(X\Y;)P(Y;)+P(X|Y,)P(Y2)+ P(X|Y3)P(Y3)

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Chapter1: Combinatorial Analysis
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5.. Use Bayes' Theorem to calculate the indicated probability. Y, Y2, Y3 form a partition of S.
P(X|Y¡) = .4, P(X|Y2) = .5, P(X|Y,) = .6, P(Y,) = .8, P(Y,) = .1. Find P(Y,|X). Here is the
%3D
%3D
%3D
%3D
formula you will use...
P(X|Y,)P(Y;)
P(Y;\X)
%3D
P(X|Y,)P(Y,)+ P(X|Y,)P(Y2)+ P(X|Y3)P(Y3)
Transcribed Image Text:5.. Use Bayes' Theorem to calculate the indicated probability. Y, Y2, Y3 form a partition of S. P(X|Y¡) = .4, P(X|Y2) = .5, P(X|Y,) = .6, P(Y,) = .8, P(Y,) = .1. Find P(Y,|X). Here is the %3D %3D %3D %3D formula you will use... P(X|Y,)P(Y;) P(Y;\X) %3D P(X|Y,)P(Y,)+ P(X|Y,)P(Y2)+ P(X|Y3)P(Y3)
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