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# An experiment results in one of the following sample ISBN: 9780321826237 51

## Solution for problem 1E Chapter 3

Statistics for Business and Economics | 12th Edition

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Problem 1E

An experiment results in one of the following sample points: E1, E2, E3, E4, or E5.

a. Find P(E3) if P(E1) = .1, P(E2) = .2, P(E4) = .1, and P(E5) = .1.

b. Find P(E3) if P(E1) = P(E3), P(E2) = .1, P(E4) = .2, and P(E5) = .1.

c. Find P(E3) if P(E1) = P(E2) = P(E4) = P(E5) = .1.

Step-by-Step Solution:

Step 1 of 3</p>

a) We have to find Given    We know that the total probability is one  + + + + =1

0.1+0.2+ +0.1+0.1=1

0.5+ =1 =1-0.5

=0.5

Hence Step 2 of 3</p>

b)  We have to find Given    We know that  + + + + =1 +0.1+ +0.2+0.1=1

0.4+2 =1

2 =1-0.4 =0.6/2

=0.3

Hence Step 3 of 3

##### ISBN: 9780321826237

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