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Suppose {X n , n>=1} be a sequence of iid random variables, P(X n = 1) = p, P(X n = 0) = 1-p. Suppose

Suppose {Xn, n>=1} be a sequence of iid random variables, P(Xn = 1) = p, P(Xn = 0) = 1-p. Suppose T1 = inf {k: Xk = 1}, Tk+1 = inf { k > Tn: Xk=1}, k>=1. Find the distribution of Tn, and E[Tn].

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