Question: Let X and Y be two continuous random variables with the joint pdff ( x , y ) = 1 if 0 < = x

Let X and Y be two continuous random variables with the joint pdff(x, y)=1 if 0<=x, y<=1 and x + y<=-1, or -1<= x<=0,0<=y <=1 and x + y<=1 and zero otherwise.(1) Using the joint pdf, find the marginal pdf of X. Specify its support(2) Using the joint pdf, find the marginal pdf of Y . Specify its support.(3) Calculate the expectations of X and Y .(4) Calculate the variances of X and Y .(5) Calculate the covariance of X and Y . Are X and Y correlated?

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