Question: Let X and Y be two random variables with joint density f (x,y) = k.x.y for 0 x y 2 , 0 y 1, where

Let X and Y be two random variables with joint density f(x,y) = k.x.y for 0 x y2, 0 y 1, where k is a constant.

  • a) Find k.
  • b) Find the marginal density functions fX and fY
  • c) Compute the covariance of X and Y

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