I can't answer part b and e?

3. (Conditional expectation and conditional variance) The following table lists the join probabilities of random variables X and Y. (a) Find the value of c. Derive the marginal probability mass functions fx(zc) = P(X = 9:) and fy(y). (b) Find the conditional expectation 9(a) = E(Y | X = x) for a: = 1, 2, 3. (c) Find the conditional variance V(Y | X = 3:) for a: = 1, 2,3. ((1) Evaluate E[E(Y | X )] = E[g(X)]. Verify that it equals E(Y) = 2y yfy(y) using results in (b). (e) Evaluate V[E(Y | X)]. Derive the variance of Y by using V(Y) = V[E(Y | X)] + E[V(Y | X)]