×
Get Full Access to A First Course In Probability - 9 Edition - Chapter 4 - Problem 2ste
Get Full Access to A First Course In Probability - 9 Edition - Chapter 4 - Problem 2ste

×

# 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

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants

A First Course in Probability | 9th Edition

4 5 1 362 Reviews
11
1
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:

Step 1 of 1

(a)

Suppose that  takes on one of the values  If for some constant

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

#### Related chapters

Unlock Textbook Solution