Let X equal the outcome when a fair four-sided die that has its faces numbered 0, 1, 2
Chapter 5, Problem 5.4-10(choose chapter or problem)
Let X equal the outcome when a fair four-sided die that has its faces numbered 0, 1, 2, and 3 is rolled. Let Y equal the outcome when a fair four-sided die that has its faces numbered 0, 4, 8, and 12 is rolled. (a) Define the mgf of X. (b) Define the mgf of Y. (c) Let W = X + Y, the sum when the pair of dice is rolled. Find the mgf of W. (d) Give the pmf of W; that is, determine P(W = w), w = 0, 1, ... , 15, from the mgf of W.
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