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Let N be the number of trials until k consecutive

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January 13th, 2018

Let N be the number of trials until k consecutive successes have occurred, when each trial is independently a success with a probability p.What is P(N = k)?Argue that P(N = k + r) = P(N > r – 1)qpk; r > 0Show that 1 – pk = qpkE[N]

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