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Q 5 (20 points) A fair die is tossed n times for some n 2 6. Let X be the number of times the pattern

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Q 5 (20 points) A fair die is tossed n times for some n 2 6. Let X be the number of times the pattern 123456 appears, that is, we see 1, 2, 3, 4, 5, 6 consecutively. (a) (10 points) Find E[X]. (b) (10 points) Find Var(X)

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