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

Let X and Y be two continuous random variables with the joint pdf f(x, y)=1 if 0<= x, y<=1 and x + y<=1, or -1<= x<=0,0<= y<=1 and - x + y <=1and zero otherwise .(1) Calculate the expectations of X and Y .(2) Calculate the variances of X and Y .(3) Calculate the covariance of X and Y . Are X and Y correlated?

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