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Let Y NegativeBinomial(r,p) i. Find the mean of Y using its MGF. ii. Find the variance of Y using its MGF. (Note: You can verify

Let Y NegativeBinomial(r,p) i. Find the mean of Y using its MGF. ii. Find the variance of Y using its MGF. (Note: You can verify your answers using linearity of expectations, and the fact that Y is the sum of #r i.i.d. Geometric(p) RVs.)

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