Let X be a discrete random variable with probability mass function p(k) = 1/5, k =...

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Let X be a discrete random variable with probability mass function p(k) = 1/5, k =...

Let X be a discrete random variable with probability mass function p(k) = 1/5, k = 1, 2, . . . , 5, zero elsewhere.

(a) Find the moment generating function of X.

(b) Use the moment generating function in (a) to determine the convolution of two identical probability mass functions given above. This is identical to asking the probability mass function of X + Y and where X and Y are independent and each has probability mass function given above.

I need help with part (b) please.

math Statistics-And-Probability

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Answer 1

Answer #1

MGF(X+Y)=MGF(X)*MGF(Y)

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Answer 2

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