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Bob rolls a fair die 6 times. Each roll is independent. Let Xi be the random number on the top side of the die at

Bob rolls a fair die 6 times. Each roll is independent. Let Xi be the random number on the top side of the die at the ith time. Furthermore, let Y = X1 + X2 + + X6 be the sum of all observations. Find: (a) The probability of Y = 8, (b) The expectation E(Y ), (c) The variance var(Y )

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