6. (20 pts) Let the joint p.m.f. of X and Y be defined by a) Find...

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6. (20 pts) Let the joint p.m.f. of X and Y be defined by a) Find P(X+Y-3) P(Y=1=2) P(y-2x-1) b) Find P(X-Y <2) f(x,y)=-1.1.3-1.2 c) Find fa(y), the marginal p.m.f. of Y. d) Compute y using f2(y). e) Find the conditional p.m.f. g(xy). 6. (20 pts) Let the joint p.m.f. of X and Y be defined by a) Find P(X+Y-3) P(Y=1=2) P(y-2x-1) b) Find P(X-Y <2) f(x,y)=-1.1.3-1.2 c) Find fa(y), the marginal p.m.f. of Y. d) Compute y using f2(y). e) Find the conditional p.m.f. g(xy).