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Question 2. (a) A fair die is rolled until three different numbers are seen. Let X be the number of rolls this requires. Find E[X]

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Question 2. (a) A fair die is rolled until three different numbers are seen. Let X be the number of rolls this requires. Find E[X] and Var(X). [Hint: Use the technique of the coupon collector problem in the book] (b) A fair coin is ipped 12 times. Find the expected value for the number of times you see three consecutive tails

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