d. P(Ac|B)=P(Ac|B)= e. Are the events A and B independent? f. Are the events A and B mutually exclusive? AACTotalB0.4430.0050.528BC0.2240.240.427Total0.6670.3331

Answered: A AC Total B 0.443 0.005 0.528 BC 0.224…

Math

Statistics

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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Question

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

Video Video

Expert Solution

Step 1

From the cross-tabulation table, we have

P( A ) = 0.667

P( B ) = 0.528

P( A^c and B ) = P( B ) - P( A and B )

= 0.528 - 0.443

= 0.085

P( A and B ) = 0.443

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