Question: 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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