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Let X and Y be two random variables with joint density f ( x , y ) = k x y for 0 x y

Let X and Y be two random variables with joint density f(x,y)=kxy for 0xy2, 0y1, where k is a constant. Answer the following:

  • Find k
  • Find the marginal density functions fX and fY
  • Compute the covariance of X and Y

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