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 | Y2) = .1, P(X |Y3) = .1, P(Y,) = .7, P(Y2) = .2. Find P(Y, | X). P(Y, | X) = |
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 | Y2) = .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).
%3D
P(Y1 | X) =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F02250380-a245-416a-be4f-e332a468f967%2Ffa64bb09-411a-4dda-83fb-bf444267308c%2F49n8vq_processed.png&w=3840&q=75)
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).
%3D
P(Y1 | X) =
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