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Given the RV X with the following pdf: f(x)= e^(-x+3)for x>3 and f(x)=0, otherwise: find the moment generating function of the random variable X. find

Given the RV X with the following pdf: f(x)= e^(-x+3)for x>3 and f(x)=0, otherwise:

find the moment generating function of the random variable X.

find the mean and variance X.

What is the pdf of RV Y = sqrt(X)

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