Let X1 and X2 be observations of a random sample of size n = 2 from a distribution with

Chapter 5, Problem 5.3-5

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Let X1 and X2 be observations of a random sample of size n = 2 from a distribution with pmf f(x) = x/6, x = 1, 2, 3. Then find the pmf of Y = X1 + X2. Determine the mean and the variance of the sum in two ways.

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