Question: Let X and Y be independent discreate random variables such that Px(k) = Py(k) =0 for all non-integer k. Show that the PMF of W

Let X and Y be independent discreate random variables such that Px(k) = Py(k) =0 for all non-integer k. Show that the PMF of W = X + Y satisfies

Px(k) Py (w - k). Pw (w) = k=-oo

Px(k) Py (w - k). Pw (w) = k=-oo

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