Homework Help is Here – Start Your Trial Now!
Math
Probability
5.8. Let X be a random variable that takes on values between 0 and c. That is, P{0 ≤X ≤ c} = 1. Show that Var (X) ≤ Hint: One approach is to first argue that E[X²] ≤ CE[X]

5.8. Let X be a random variable that takes on values between 0 and c. That is, P{0 ≤X ≤ c} = 1. Show that Var (X) ≤ Hint: One approach is to first argue that E[X²] ≤ CE[X]

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
See similar textbooks
icon
Related questions
Question

How can I solve this question 5.8.?

5.8. Let X be a random variable that takes on values between 0 and c. That is, P{0 ≤X ≤ c} = 1. Show that Var(X) < =²2 4 Hint: One approach is to first argue that E[X²] ≤ CE[X] and then use this inequality to show that Var(X) ≤ c²[a(1-a)] where a = E[X] C
Transcribed Image Text:5.8. Let X be a random variable that takes on values between 0 and c. That is, P{0 ≤X ≤ c} = 1. Show that Var(X) < =²2 4 Hint: One approach is to first argue that E[X²] ≤ CE[X] and then use this inequality to show that Var(X) ≤ c²[a(1-a)] where a = E[X] C
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer