Question: Please make sure to explain all steps. 1. Let the discrete random variable X be uniform on {0, 1, 2} and let the discrete random

Please make sure to explain all steps.

variable X" be uniform on {0, 1, 2} and let the discrete

Y are independent. Find the PMF of A + Y using convolution.

1. Let the discrete random variable X" be uniform on {0, 1, 2} and let the discrete random variable Y" be uniform on (3, 4). Assume that X" and Y are independent. Find the PMF of A + Y using convolution. Determine the values of the constants a, b, c, and a that appear in the following specification of the PMF. a, z= 3, b. z= 4, PX+Y (2) =

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