The joint probability density function of X and Y is given for some c> 0 and...

 

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The joint probability density function of X and Y is given for some c> 0 and a > 0 by f (r, y) = cry"; -y<x < y, 0 < y < 2 %3D a) Given that the covariance of X and Y is 0 find the relation between c and a. b) Argue whether X and Y are independent or not. The joint probability density function of X and Y is given for some c> 0 and a > 0 by f (r, y) = cry"; -y<x < y, 0 < y < 2 %3D a) Given that the covariance of X and Y is 0 find the relation between c and a. b) Argue whether X and Y are independent or not.