Homework Help is Here – Start Your Trial Now!
Math
Probability
2. Let X be a continuous random variable with the probability density function 2/x³ if x > 1 1 f(x) = = Find E(X) and Var(X) if they exist. otherwise.

2. Let X be a continuous random variable with the probability density function 2/x³ if x > 1 1 f(x) = = Find E(X) and Var(X) if they exist. otherwise.

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

Did I complete this problem correctly? If not explain where I went wrong.

2. Let X be a continuous random variable with the probability density function 1 [2/x³ if x > 1 0 f(x) = ECK ²) = otherwise. Find E(X) and Var(X) if they exist. E(X) = 5₁ 2. to dx = ²/2 + ₁ | = ₁ + +0 S ㅗ 4 x 4 to vor (X) = E(²) - [E[)] ² = 1.3 1.3 4.3 = 17/11 - 12/1 4 3 4. 4² - 1/² = (1/2) 12 $12.7/3dx 2.1/3 dx = ²/₁ So 2/2 - 7/₁1/10 1/32 ₁ + +0 = 3/² ㅎ. ус र्ड 6 16 IN
Transcribed Image Text:2. Let X be a continuous random variable with the probability density function 1 [2/x³ if x > 1 0 f(x) = ECK ²) = otherwise. Find E(X) and Var(X) if they exist. E(X) = 5₁ 2. to dx = ²/2 + ₁ | = ₁ + +0 S ㅗ 4 x 4 to vor (X) = E(²) - [E[)] ² = 1.3 1.3 4.3 = 17/11 - 12/1 4 3 4. 4² - 1/² = (1/2) 12 $12.7/3dx 2.1/3 dx = ²/₁ So 2/2 - 7/₁1/10 1/32 ₁ + +0 = 3/² ㅎ. ус र्ड 6 16 IN
Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer