13. Incorrect. The answer is false, not true

f(v|2) = (4+v)/22.

Then, the conditional expectation is

E(V|U=2) = ∑_vv(4 + v)/22

E(V|U=2)=0(4/22)+1(5/22)+2(6/22)+3(7/22)

E(V|U=2)=19/11.