Question: Problem 3. Consider two discrete random variables, X and Y, with pmfs pr and py respectively. Sup- pose X takes values in {0, 1,

Problem 3. Consider two discrete random variables, X and Y, with pmfs pr and py respectively. Sup- pose X takes values in {0, 1,

Problem 3. Consider two discrete random variables, X and Y, with pmfs pr and py respectively. Sup- pose X takes values in {0, 1, 2, 3} and Y takes values in {-1,0,1}. Furthermore, suppose X and Y are independent. (a) Write out the pmf of Z = X + Y in terms of pr and Py.

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