Calculate the probability mass function of the sum


Given the independent random variables X and Y with respective probability mass functions

pX (0) = 1/2

pX(2) = 1/2

pY(1) = 1/6

pY(2) = 1/3

pY(3) = 1/2

Calculate the probability mass function of the sum Z = X + Y .

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Basic Statistics: Calculate the probability mass function of the sum
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