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Let X and Y have joint pdf f(x,y)=k(x+y), for 0<=x<=1 and 0<=y<=1. a) Find k. b)...

Let X and Y have joint pdf f(x,y)=k(x+y), for 0<=x<=1 and 0<=y<=1.

a) Find k.

b) Find the joint cumulative density function of (X,Y)

c) Find the marginal pdf of X and Y.

d) Find Pr[Y<X2] and Pr[X+Y>0.5]

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