5. The joint pmf of a bivariate r.v. (X,Y) is given by Where k is a constant. Px,x(x₁,Yi) = {k(2x¡ + Yi) _ x₁ = 1,2; y₁

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5 The Joint Pmf Of A Bivariate R V X Y Is Given By Where K Is A Constant Px X X Yi K 2x Yi X 1 2 Y 1 (61.04 KiB) Viewed 76 times

5. The joint pmf of a bivariate r.v. (X,Y) is given by Where k is a constant. Px,x(x₁,Yi) = {k(2x¡ + Yi) _ x₁ = 1,2; y₁ = 1,2 0 otherwise a. Find the value of k (5 points) b. Find the marginal pmf's of X and Y (10 points) Are X and Y independent? (5 points) C.