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If the pdf of a random variable X is f(x) = {0,0 0.15-0.15(x-0.5), x ≥ 0.5 otherwise Find the moment generating function and use it to find the mean and variance of X.

If the pdf of a random variable X is f(x) = {0,0 0.15-0.15(x-0.5), x ≥ 0.5 otherwise Find the moment generating function and use it to find the mean and variance of X.

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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If the pdf of a random variable X is \[ f(x) = \begin{cases} 0.15e^{-0.15(x - 0.5)}, & x \geq 0.5 \\ 0, & \text{otherwise} \end{cases} \] Find the moment generating function and use it to find the mean and variance of X.
Transcribed Image Text:If the pdf of a random variable X is \[ f(x) = \begin{cases} 0.15e^{-0.15(x - 0.5)}, & x \geq 0.5 \\ 0, & \text{otherwise} \end{cases} \] Find the moment generating function and use it to find the mean and variance of X.
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