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Suppose that your cool prof gave you the following probability density function for a random variable X: an) = e'l'Herl for a: E R (a)

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Suppose that your cool prof gave you the following probability density function for a random variable X: an) = e'l'Herl for a: E R (a) Verify that at) 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+n

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