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3. Let X and Y be the value on the side down on two independent throws of a fair tetrahedronided) die. Thus, X and Y'

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3. Let X and Y be the value on the side down on two independent throws of a fair tetrahedronided) die. Thus, X and Y' take on the values 1, 2, 3, and 4 each with value 1/4. Let Z = (X - Y'| be the absolute value of their difference. (a) Find P[Z = 0). (b) What are the possible values for Z? (c) Find the probability mass function for Z. (d) Find EZ, the expected value of Z

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