Use Bayes' theorem or a tree diagram to calculate the indicated probability. Round your answer to four decimal places. Y1, Y2, Y3 form a partition of S. P(X | Y1) = 0.7, P(X | Y2) = 0.3, P(X | Y3) = 0.2, P(Y1) = 0.3, P(Y2) = 0.1. Find P(Y1 | X).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 9E
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Use Bayes' theorem or a tree diagram to calculate the indicated probability. Round your answer to four decimal places.
Y1, Y2, Y3
form a partition of S.
P(X | Y1) = 0.7,
P(X | Y2) = 0.3,
P(X | Y3) = 0.2,
P(Y1) = 0.3,
P(Y2) = 0.1.
Find
P(Y1 | X).
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