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I need solution and formula as clear.Otherwise , I will have to report the answer. Assume...

I need solution and formula as clear.Otherwise , I will have to report the answer.

Assume that X and Y has a continuous joint p.d.f. as 28x2y3 in 0<y<x<1 interval. Otherwise the joint p.d.f. is equal to 0.

  1. Prove that the mentioned f(x,y) is a joint probability density function.
  2. Calculate E(X)
  3. Calculate E(Y)
  4. Calculate E(X2)
  5. Calculate E(XY)
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