Let X be a continuous random variable with probability density function xex x>0 f( = otherwise (a) Find the value of the moment generating function of X at t = 1/1 (b) Find E[X4].

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Let X be a continuous random variable with probability density function
xex x>0
f(
=
otherwise
(a) Find the value of the moment generating function of X at t = 1/1
(b) Find E[X4].
Transcribed Image Text:Let X be a continuous random variable with probability density function xex x>0 f( = otherwise (a) Find the value of the moment generating function of X at t = 1/1 (b) Find E[X4].
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