Suppose we have a frequency function for two variables X and Y, *x =(*x) f , for x = 0, 1, 2, 3 and y = 0, 1, 2. Determine the marginal distributions of X and Y. Determine E(X) and E(Y). Determine E(X + Y). If Z = 2X + 10, determine

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  1. Suppose we have a frequency function for two variables X and Y, 
  2.   *x =(*x) f , for x = 0, 1, 2, 3 and  y = 0, 1, 2. 
  3. Determine the marginal distributions of X and Y.
  4. Determine E(X) and E(Y).
  5. Determine E(X + Y).
  6. If Z = 2X + 10, determine E(Z).
  7. Determine E(XY).
  8. Determine cov(X,Y).
  9. Are X and Y independent?  Justify your answer.
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