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99. Let N be the number of trials until k consecutive successes have occurred, when each trial is independently a success with probability p. (a)

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99. Let N be the number of trials until k consecutive successes have occurred, when each trial is independently a success with probability p. (a) What is P(N = k)? (b) Argue that P(N=k+r)= P(N >r1)qpk, r >0 (c) Show that 1 p" = qpkEW]

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