×
×

# Suppose that W is a continuous random variable with mean 0

ISBN: 9780321923271 41

## Solution for problem 7E Chapter 5.8

Probability and Statistical Inference | 9th Edition

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

Probability and Statistical Inference | 9th Edition

4 5 1 318 Reviews
13
3
Problem 7E

Suppose that W is a continuous random variable with mean 0 and a symmetric pdf f (w) and cdf F(w), but for which the variance is not specified (and may not exist). Suppose further that W is such that

for k ≥ 1. (Note that this equality would be equivalent to the equality in Chebyshev’s inequality if the variance of W were equal to 1.) Then the cdf satisfies

Also, the symmetry assumption implies that

(a) Show that the pdf of W is

(b) Find the mean and the variance of W and interpret your results.

(c) Graph the cdf of W.

Step-by-Step Solution:
Step 1 of 3

ST 701 Week Five Notes MaLyn Lawhorn September 12, 2017 and September 14, 2017 Last Time ▯ Cumulative Distribution Function (CDF) – denoted X (x) – gives the probability that X ▯ x, x 2 R – Properties: 1. non-decreasing function 2. F(▯1) = 0, F(+1) = 1 3. right-continuousX F (x)...

Step 2 of 3

Step 3 of 3

##### ISBN: 9780321923271

This full solution covers the following key subjects: variance, CDF, pdf, suppose, mean. This expansive textbook survival guide covers 59 chapters, and 1476 solutions. Probability and Statistical Inference was written by and is associated to the ISBN: 9780321923271. The answer to “Suppose that W is a continuous random variable with mean 0 and a symmetric pdf f (w) and cdf F(w), but for which the variance is not specified (and may not exist). Suppose further that W is such that for k ? 1. (Note that this equality would be equivalent to the equality in Chebyshev’s inequality if the variance of W were equal to 1.) Then the cdf satisfies Also, the symmetry assumption implies that (a) Show that the pdf of W is (b) Find the mean and the variance of W and interpret your results.(c) Graph the cdf of W.” is broken down into a number of easy to follow steps, and 101 words. Since the solution to 7E from 5.8 chapter was answered, more than 451 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 7E from chapter: 5.8 was answered by , our top Statistics solution expert on 07/05/17, 04:50AM. This textbook survival guide was created for the textbook: Probability and Statistical Inference , edition: 9.

#### Related chapters

Unlock Textbook Solution