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Problem 3. Roll two fair dice, one red and one blue. Let X be the result of the red die, and let Y be the

Problem 3. Roll two fair dice, one red and one blue. Let X be the result of the red die, and let Y be the result of the blue die. Set Z =X - Y. (a) Find the pmf of Z. (b) Find the pmf of Z2. (c) Find the expected value and variance of Z

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