If X1 and X2 are independent random variables having the geometric distribution with the parameter , show that Y X1 X2 is a random variable having the negative binomial distribution with the parameters and k 2

Question: If X1 and X2 are independent random variables having the geometric distribution with the parameter , show that Y = X1 + X2 is a

If X1 and X2 are independent random variables having the geometric distribution with the parameter θ, show that Y = X1 + X2 is a random variable having the negative binomial distribution with the parameters θ and k = 2.

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