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Q4. Consider a sequence of41 games. The results of the games are independent, with probability p of a win and probability 1p of a loss.

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Q4. Consider a sequence of41 games. The results of the games are independent, with probability p of a win and probability 1p of a loss. We say that a \"triple win\" is a sequence of three consecutive wins. Let X denote the number of "triple wins\" (possibly overlapping). In the example below, we have n = 41, and we get X = 5 because a \"triple win" starts in each of the positions 1, 25, 26, 27, 28. WWWLLWLLLLLLWLLLLLLLLWWLWWWWWWLLWWLLLLLLL For i E {1, . . . , 40}, let '1"i =1 (if a triple win starts from 1th game} or 0 otherwise. Compute: 1) VarlY] 2) Cov(Y,, Y1.) for 1

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