Events A1, Az and A3 form a partiton of the sample space S with probabilities P(A¡) = 0.2, P(A2) = 0.3, P(A3) = 0.5. If E is an event in S with P(E|A1) = 0.5, P(E|A2) = 0.4, P(E|A3) = 0.8, compute %3D P(E) = 1 P(A||E) 0.5 P(A2|E) = 0.6 P(A3|E) : 0.2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 29E
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Events A1, A2 and A3 form a partiton of the sample space S with probabilities P(A1) = 0.2, P(A2) = 0.3, P(A3) = 0.5.
If E is an event in S with P(E|A1) = 0.5, P(E|A2) = 0.4, P(E|A3) = 0.8, compute
P(E) = 1
P(A||E) =| 0.5
P(A2|E) =| 0.6
P(A3|E) = 0.2
Transcribed Image Text:Events A1, A2 and A3 form a partiton of the sample space S with probabilities P(A1) = 0.2, P(A2) = 0.3, P(A3) = 0.5. If E is an event in S with P(E|A1) = 0.5, P(E|A2) = 0.4, P(E|A3) = 0.8, compute P(E) = 1 P(A||E) =| 0.5 P(A2|E) =| 0.6 P(A3|E) = 0.2
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