Suppose that we have a sample space S = {E1, E2, E3, E4, Es, E6, E7), where E1, E2, ..., E, denote the sample points. The following probability assignments apply: P(E, ) = 0.10, P(E, ) = 0.05, P(E3) = 0.20, P(E4) = 0.20, P(E5) = 0.15, P(E6) = 0.25, and P(E,) = 0.05. Let A = {E1, E4, E63 B = {E2, E4, E7} C = {E2, E3, E5, E73. (a) Find P(A), P(B), and P(C). P(A) = .55 math P(B) = .30 + Ope P(C) = .45 Fun X Sym (b) Find A U B. (Enter your answer in set notation.) Rela VO Set AUB = Trig Gre Find P(A U B). HO P(A U B) = (c) Find An B. (Enter your answer in set notation.) An B = Find P(A n B). P(A n B) = (d) Are events A and C mutually exclusive? They are mutually exclusive. (e) Find BC. (Enter your answer in set notation.) BC =