Question: Problem 6 Let X be a geometric random variable whose probability for success is itself random, and has the standard uniform distribution (i.e, U(0, 1)).

Problem 6 Let X be a geometric random variable whose probability for success is itself random, and has the standard uniform distribution (i.e, U(0, 1)). (a) Compute the pmf of X, that is, find P(X = k), k = 1, 2, .... (b) Show that E(X) = co. 1

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