Use Bayes' theorem or a tree diagram to calculate the indicated probability. Round your answer to four decimal places. HINT [See Example 3.] Y1, Y2, Y3 form a partition of S. P(X | Y,) = .8, P(X | Y,) = .1, P(X | Y3) = .1, P(Y,) = .7, P(Y2) = .2. Find P(Y|X). P(Y, | X) =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 10E
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Use Bayes' theorem or a tree diagram to calculate the indicated probability. Round your answer to four decimal places. HINT [See Example 3.]
Y1, Y2, Y3 form a partition of S. P(X | Y1) = .8, P(X | Y2) = .1, P(X | Y3) = .1, P(Y,) = .7, P(Y2) = .2. Find P(Y, | X).
P(Y1 | X) =|
Transcribed Image Text:Use Bayes' theorem or a tree diagram to calculate the indicated probability. Round your answer to four decimal places. HINT [See Example 3.] Y1, Y2, Y3 form a partition of S. P(X | Y1) = .8, P(X | Y2) = .1, P(X | Y3) = .1, P(Y,) = .7, P(Y2) = .2. Find P(Y, | X). P(Y1 | X) =|
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