Study guide, I want to make sure I got this question right

(5) Suppose events A C B are with P(A) = 1/4 and P(B) = 1/2. Let event 0 be independent of both A and B with P(C') = 1/2, and N denote the total number of events among A, B, C that occur. Show your work in part (a); and circle the correct answer in each of parts ('3): (c), (d): (e). (3.] Draw a Venn diagram by lling each disjoint part with a correct probability. (c) E(N2) = 5/4, 5/3, 5/2. (d) Cov(IA, N) = 5/16, 0 , 5/8. (e) P(N > 2 | B) = 1/8, 1/2, 1/4