Suppose that A1, A2, A3, A4, and A5 are five mutually exclusive and exhaustive events in a sample space S, and suppose that P(A1)=0.2, P(A2)=0.1, P(A3) = 0.15, P(A4)=0.3, and P(A5)=0.25. Another event E in S is such that P(E|A1) = 0.2, P(E|A2)=0.1, P(E|A3)=0.35, P(E|A4)=0.3, and P(E|A5)=0.25. Find the probabilities P(A1|E), P(A2|E), P(A3|E), P(A4|E), and P(A5|E).
Suppose that A1, A2, A3, A4, and A5 are five mutually exclusive and exhaustive events in a sample space S, and suppose that P(A1)=0.2, P(A2)=0.1, P(A3) = 0.15, P(A4)=0.3, and P(A5)=0.25. Another event E in S is such that P(E|A1) = 0.2, P(E|A2)=0.1, P(E|A3)=0.35, P(E|A4)=0.3, and P(E|A5)=0.25. Find the probabilities P(A1|E), P(A2|E), P(A3|E), P(A4|E), and P(A5|E).
MATLAB: An Introduction with Applications
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Related questions
Question
Suppose that A1, A2, A3, A4, and A5 are five mutually exclusive and exhaustive
events in a
0.15, P(A4)=0.3, and P(A5)=0.25. Another
0.2, P(E|A2)=0.1, P(E|A3)=0.35, P(E|A4)=0.3, and P(E|A5)=0.25. Find the
probabilities P(A1|E), P(A2|E), P(A3|E), P(A4|E), and P(A5|E).

Transcribed Image Text:Suppose that A₁, A2, A3, A4, and A5 are five mutually exclusive and exhaustive
events in a sample space S, and suppose that P(A₁) = 0.2, P(A₂) = 0.1, P(A3) =
0.15, P(A₁) = 0.3, and P(A5) = 0.25. Another event E in S is such that P(E|A₁) =
0.2, P(E|A₂) = 0.1, P(E|A3) = 0.35, P(E|A₁) = 0.3, and P(E|A5) = 0.25. Find the
probabilities P(A₁|E), P(A₂|E), P(A3|E), P(A₁|E), and P(A5|E).
:
Expert Solution

Step 1: Given information.
The given probabilities are
Also, for an event in
, the conditional probabilities are:
Step by step
Solved in 7 steps with 20 images
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Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
I believe in step 3 the there is a multipication error .1+.1 is not 0.02
Solution
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