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.

Career Median Pay Top Pay Account Executive 81 157 Certified Public Accountant 74 138 Computer Security Consultant 100 138 Director of Communications 78 135 Finacial Analyst 80 109 Finance Director 121 214 Financial Research Analyst 66 155 Hotel...