Consider two random variables X and Y with joint PMF given by a. Show that X and

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Consider two random variables X and Y with joint PMF given byPXY (k, l) = 1 , for k, l = 1,2,3, ... 2641?

a. Show that X and Y are independent and find the marginal PMFs of X and Y.

b. Find P(X2 + Y2 ≤ 10).

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