MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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please answer in a detailed way/solution. LETTER C 

Let X be a random variable with pdf fx(x) = xe-I(0,∞) (x).
(a) Derive the moment generating function of X.
(b) Compute the mean of X using its MGF.
(c) Compute the variance of X using its MGF.
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Transcribed Image Text:Let X be a random variable with pdf fx(x) = xe-I(0,∞) (x). (a) Derive the moment generating function of X. (b) Compute the mean of X using its MGF. (c) Compute the variance of X using its MGF.
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