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LetX,Ybe a pair of continuous random variables with joint density functionf(x,y) ={kxy,for 0≤x≤1 and 0≤y≤1,0otheriwse. (a)...

LetX,Ybe a pair of continuous random variables with joint density functionf(x,y) ={kxy,for 0≤x≤1 and 0≤y≤1,0otheriwse.

(a) Findk. (4 pts.)

(b) Find the marginal distribution ofX,fX(x). (4 pts.)

(c) Find P(X >0.5). (4 pts.)

(d) Find E(XY). (4 pts.)

(e) Find Cov(X,Y). (4 pts.)

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