Suppose X 1 ,X 2 ,X 3 are i.i.d. random variables, each uniformly distributed on {1, 2,

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Suppose X1,X2,X3 are i.i.d. random variables, each uniformly distributed on {1, 2, 3}. Find the probability function for X1 + X2 + X3. That is, find P(X1 + X2 + X3 = k), for k = 3, . . . , 9.

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