Let X=R(0,1) and Y=Bi(1,0.5) be independent random variables, Z=X^Y.

1. Compute the function n(y)=E(Z|Y=y) and hence specify the rv E(Z|Y).

2. Compute the function S(y)=var(Z|Y=y) and hence specify the rc var(Z|Y).

3. Compute E(Z).

How do I do the questions?