Question: Let X and Y be two continuous random variables with the joint pdf shown in the image. Find the value of k and draw the

Let X and Y be two continuous random variables with the joint pdf shown in the image.

  1. Find the value of k and draw the joint distribution in 3D
  2. Find the marginals fx(X) and fy(Y)
  3. Are X and Y independent?
  4. Find the conditional pdf of X given Y, fxIy(XIY)
  5. Find the conditional pdf of Y given X, fyIx(YIX)
  6. Find the correlation between X and Y
Let X and Y be two continuous random variables with the joint

kay 0

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