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Question: question related to branching processes zn is the number of...

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Exercise 9.17 Find the mean and variance of Zn when the family-size distribution is given by P for k 0, 1, 2, . . . , and 0 < p 뉘-q < 1 . Deduce that var(Zn)-0 if and only if p

Question related to branching processes. Zn is the number of offspring in generation n. I know that Pk is a geometric distribution, but am unsure of where to go from there.

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