Posted: March 12th, 2023

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

1. Suppose we have a frequency function for two variables X and Y, 
2.    , 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.