The moment generating function of the random variable X is given by mx(s) = e2et -2 and the moment generating function of the random variable Y is my (s) = (Get + )10. If it is assumed that the random variables X and Y are independent, find the following: %3D (a) E(XY); (b) E[(X – Y)²] (c) Var(2X – 3Y).

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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The moment generating function of the random variable X is given by
mx(s) = e2e-2 and the moment generating function of the random variable Y is my (s) =
(et + )10. If it is assumed that the random variables X and Y are independent, find
the following:
(a) E(XY);
(b) E[(X – Y)²]
(c) Var(2X – 3Y).
Transcribed Image Text:The moment generating function of the random variable X is given by mx(s) = e2e-2 and the moment generating function of the random variable Y is my (s) = (et + )10. If it is assumed that the random variables X and Y are independent, find the following: (a) E(XY); (b) E[(X – Y)²] (c) Var(2X – 3Y).
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