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Suppose that P{X=i,Y=j} = c(i+j) for non negative integers i and j with i+j <= 3;...

Suppose that P{X=i,Y=j} = c(i+j) for non negative integers i and j with i+j <= 3; otherwise, the probability is zero.

(a) Determine c.

(b) Compute the marginal p.m.f. of X.

(c) Compute the marginal p.m.f. of Y.

(d) Are X and Y be independent?

(e) Compute P(X+Y<2).

(f) ComputeE[XY].

(g) Compute E[X] and E[Y].

(h) Compute E[X+Y].

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