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A continuous random variable X has the p.d.f. f(x) = (a) Find the mean of X. (b) Find the variance of X. = |x|—" 2 for -∞

A continuous random variable X has the p.d.f. f(x) = (a) Find the mean of X. (b) Find the variance of X. = |x|—" 2 for -∞

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A continuous random variable X has the p.d.f. -|x| f(x) 2 (a) Find the mean of X. (b) Find the variance of X. for ∞<x<∞.
Transcribed Image Text:A continuous random variable X has the p.d.f. -|x| f(x) 2 (a) Find the mean of X. (b) Find the variance of X. for ∞<x<∞.
Expert Solution
Step 1: Understanding the problem

The probability density function of X

f(x)=1/2e-|x|    for  negative infinity less than x less than infinity

0                        otherwise

We have to find mean and variance 

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