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LetXbe a random variable having the exponential distribution with parameter >0 whose probability density function is given by ex,ifx0;f(x) = 0,otherwise. Calculate the moment generating
LetXbe a random variable having the exponential distribution with
parameter >0 whose probability density function is given by
ex,ifx0;f(x) =
0,otherwise.
Calculate the moment generating function ofX. FindE(X),E(X2),E(X3), andV ar(X).
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