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(b) Assume the joint pdf of random variable X and Y, and marginal pdf of Y is given as fx,x(x,y)=xe-x(y+1) and fy(y) [1/(y+1)] x>0,
(b) Assume the joint pdf of random variable X and Y, and marginal pdf of Y is given as fx,x(x,y)=xe-x(y+1) and fy(y) [1/(y+1)] x>0, y>0 (i) Get Marginal pdf of X,i.e, fx(x) and check if X and Y are independent or not. (ii) Then check if Cov (x, y) = 0 or not. (5)
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