MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question
Let A and B be events with P (A)=0.4, P (B)=0.6, and P (A or B) = 0.7. (a) Compute P (A and B). (b) Are A and B mutually exclusive? Explain. (c) Are A and B independent? Explain.
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Transcribed Image Text:Let A and B be events with P (A)=0.4, P (B)=0.6, and P (A or B) = 0.7. (a) Compute P (A and B). (b) Are A and B mutually exclusive? Explain. (c) Are A and B independent? Explain.
Expert Solution
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Step 1: Given data,

G i v e n space d a t a comma P left parenthesis A right parenthesis equals 0.40 P left parenthesis B right parenthesis equals 0.60 P left parenthesis A space o r space B right parenthesis equals 0.70 W e space h a v e space t o space f i n d space o u t space t h e space P left parenthesis A thin space a n d space B right parenthesis comma space e v e n t s space a r e space m u t u a l l y space e x c l u s i v e space a n d space i n d i p e n d e n t space o r space n o t.

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