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A coin is tossed repeatedly, heads appearing with probability p on each toss. Let X be the number of tosses of this coin until the

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A coin is tossed repeatedly, heads appearing with probability p on each toss. Let X be the number of tosses of this coin until the rst occasion by which three heads have appeared successively. Using conditional arguments to show that the mean of X is given by 1 E(X}=%+E+% and

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