The joint probability distribution function (PDF) of two random variables X and Y has the form of: p(x,y)={cxy2,0,?1?x?0,1?y?0,otherwise? (a) Find the value of c. (b) Find P(XY). (c) Find P(X2Y). (d) Find P(min(X,Y)?0.5). (e) Find P(max(X,Y)?0.75).

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The joint probability distribution function (PDF) of two random variables X and Y has the form of: p(x,y)={cxy2,0,?1?x?0,1?y?0,otherwise? (a) Find the value of c. (b) Find P(X>Y). (c) Find P(X2>Y). (d) Find P(min(X,Y)?0.5). (e) Find P(max(X,Y)?0.75).

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