×
Get Full Access to Mathematical Statistics With Applications - 7 Edition - Chapter 3 - Problem 33e
Get Full Access to Mathematical Statistics With Applications - 7 Edition - Chapter 3 - Problem 33e

×

# Let Y be a discrete random variable with mean ? and

ISBN: 9780495110811 47

## Solution for problem 33E Chapter 3

Mathematical Statistics with Applications | 7th Edition

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

Mathematical Statistics with Applications | 7th Edition

4 5 1 321 Reviews
16
3
Problem 33E

Problem 33E

Let Y be a discrete random variable with mean μ and variance σ 2. If a and b are constants, use Theorems 3.3 through 3.6 to prove that

a E ( aY + b) = aE(Y ) + b = + b.

b V ( aY + b) = a2 V (Y ) = a2σ 2.

Reference

Step-by-Step Solution:

Solution:

Step 1 of 3:

Here we need to prove that

a).

b).

Step 2 of 3

Step 3 of 3

#### Related chapters

Unlock Textbook Solution