Question: Suppose X has a negative binomial distribution with parameters p and N, where N has the geometric distribution What is the marginal distribution for X?

Suppose X has a negative binomial distribution with parameters p and N, where N has the geometric distribution

= P(n) (1B)"-1 for n = 1, 2,....

What is the marginal distribution for X?

= P(n) (1B)"-1 for n = 1, 2,....

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