Solve the problem using Bayes' Theorem. Round the answer to the nearest hundredth, if necessary. For mutually exclusive events X₁, X2, and X3, let P(X1)=0.31, P(X2) = 0.17, and P (X3) = 0.52. Also, P (YIX₁) = 0.40, P (YIX2) = 0.30, and P (YIX 3) = 0.60. Find P(X,M). OA. 0.10 OB. 0.64 OC. 0.19 OD. 0.25

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 44E
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Solve the problem using Bayes' Theorem. Round the answer to the nearest hundredth, if necessary.
For mutually exclusive events X₁, X2, and X3, let P(X1) = 0.31, P(X2) = 0.17, and P (X3) = 0.52. Also, P (YIX₁) = 0.40, P (YIX2) = 0.30, and P (YIX3) = 0.60. Find P (X₁MY).
OA. 0.10
B. 0.64
OC. 0.19
O D. 0.25
Transcribed Image Text:Solve the problem using Bayes' Theorem. Round the answer to the nearest hundredth, if necessary. For mutually exclusive events X₁, X2, and X3, let P(X1) = 0.31, P(X2) = 0.17, and P (X3) = 0.52. Also, P (YIX₁) = 0.40, P (YIX2) = 0.30, and P (YIX3) = 0.60. Find P (X₁MY). OA. 0.10 B. 0.64 OC. 0.19 O D. 0.25
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