Question: Let / be a random variable taking natural numbers, 1, 2, ... with known probabilities p1, p2, ... where Zip; = 1. Given N, then

Let / be a random variable taking natural numbers, 1, 2, ... with known probabilities p1, p2, ... where Zip; = 1. Given N, then X1, X2, ..., X ~ Bernolli(1, 0) are generated. Let X = > Xi. i. Show that (X, N) a minimal sufficient and that N is ancillary for 0. ii. Show that X/N is unbiased and find its variance

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