A AC Total B 0.443 0.005 0.528 BC 0.224 0.24 0.427 Total 0.667 0.333 1

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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d. P(Ac|B)=P(Ac|B)=

 

e. Are the events A and B independent?

 

f. Are the events A and B mutually exclusive?

 
A
AC
Total
B
0.443
0.005
0.528
BC
0.224
0.24
0.427
Total
0.667
0.333
1
Transcribed Image Text:A AC Total B 0.443 0.005 0.528 BC 0.224 0.24 0.427 Total 0.667 0.333 1
Expert Solution
Step 1

From the cross-tabulation table, we have

P( A ) = 0.667

P( B ) = 0.528

P( Ac and B ) = P( B ) - P( A and B )

                        = 0.528 - 0.443

                        = 0.085

P( A and B ) = 0.443

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