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a. Are Aj and A, mutually exclusive? Explain. b. Compute P(A, N B) and P(A, N B).

a. Are Aj and A, mutually exclusive? Explain. b. Compute P(A, N B) and P(A, N B).

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Only A and B 

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The prior probabilities for events Aj and A, are P(A;) = 40 and P(A,) = .60. It is also known that P(A, N 4) = 0. Suppose P(B | A¡) = .20 and P(B | A5) = .05. Are A and A, mutually exclusive? Explain. b. Compute P(A, N B) and P(A, N B). c. Compute P(B). d. Apply Bayes' theorem to compute P(A, I B) and P(A, | B). %3D = - - = = = %3D а. %3D - - - - - - - - = - - - - - l= = - - I - - ---
Transcribed Image Text:The prior probabilities for events Aj and A, are P(A;) = 40 and P(A,) = .60. It is also known that P(A, N 4) = 0. Suppose P(B | A¡) = .20 and P(B | A5) = .05. Are A and A, mutually exclusive? Explain. b. Compute P(A, N B) and P(A, N B). c. Compute P(B). d. Apply Bayes' theorem to compute P(A, I B) and P(A, | B). %3D = - - = = = %3D а. %3D - - - - - - - - = - - - - - l= = - - I - - ---
Expert Solution
Step 1

Given : P(A_1)=0.40,P(A_2)=0.60,P(A_1\cap A_2)=0,P(B|A_1)=0.20,P(B|A_2)=0.05

Our claim is to answer the following : 

A) Are A1 and A2 mutually exclusive>

B) Compute P(A_1\cap B)\&P(A_2\cap B)

Here , student ask the answer of part (A) and (B) only.

 

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