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X1 has a geometric distribution with p=0.5 and X2 has a negative binomial distribution with r=3 and p=.5. Please explain how you got your answers.

X1 has a geometric distribution with p=0.5 and X2 has a negative binomial distribution with r=3 and p=.5. Please explain how you got your answers.

1) Find the moment generating function for Y=X1+X2

2) What is the distribution of Y?

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