Question: answer all questions with explanation Problem 2. (5 points) A branching process Z,, has an offspring distribution with mean / = 1.6 and probability generating

answer all questions with explanation

Problem 2. (5 points) A branching process Z,, has an offspring distribution with mean / = 1.6 and probability generating function G(s) which satisfies: the smallest solution of G(s) = s in [0, 1] is s = 0.55. Suppose now that Zo = 2 (instead of Zo = 1). Then (a) E(Z3) = and (b) Pr(Zn = 0 for some n) Hint: Think about the definition of branching processes. Note: You can earn partial credit on this

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