Let X1, X2, ... , X8 be a random sample from a distribution having pmf f(x) = (x + 1)/6

Chapter 5, Problem 5.4-13

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Let X1, X2, ... , X8 be a random sample from a distribution having pmf f(x) = (x + 1)/6, x = 0, 1, 2. (a) Use Exercise 5.4-9 to find the pmf of W1 = X1 + X2. (b) What is the pmf of W2 = X3 + X4? (c) Now find the pmf of W = W1 + W2 = X1 + X2 + X3 + X4. (d) Find the pmf of Y = X1 + X2 ++ X8. (e) Construct probability histograms for X1, W1, W, and Y. Are these histograms skewed or symmetric?

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