Question: I need help with question and show step by step Suppose that your cool prof gave you the following probability density function for a random

I need help with question and show step by step

Suppose that your cool prof gave you the following probability density function for a random variable X: f(:r) = e'w for :1: E R (a) Verify that f (as) is a valid probability density function (b) Find the moment generating function for X. (c) Find the moment generating for the transformed random variable Y, Where: Y=X+u

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