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Consider a single roll of a pair of 6-sided dice and a flip of two fair coins. Let Xi be the outcome for die i,i

Consider a single roll of a pair of 6-sided dice and a flip of two fair coins. Let Xi be the outcome for die i,i = 1,2, and let Ci be the number of heads obtained by filling coin i,i = 1,2.

S1 = X1 + 4C1, S2 = X2 + 4C2 and T = S1 + S2

Compute E [T], Var [T], and P(T 16).

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