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# Suppose that X takes on one of the values 0, 1, and 2. If ISBN: 9780321794772 63

## Solution for problem 2STE Chapter 4

A First Course in Probability | 9th Edition

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Problem 2STE

Problem 2STE

Suppose that X takes on one of the values 0, 1, and 2. If for some constant c,P{X = i} = cP{X = i− 1}, i = 1, 2, find E[X].

Step-by-Step Solution:

Answer

Step 1 of 1

(a)

Suppose that takes on one of the values If for some constant  We are asked to find We have given This relationship implies that where Because these probabilities sum to 1, we can write,    We know the expectation of a random variable        Hence is Step 2 of 1

##### ISBN: 9780321794772

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Suppose that X takes on one of the values 0, 1, and 2. If