Suppose that we have a sample space S = {E1, E2, E3, E4, Es, E6, E7}, where E1, E2, ..., E7 denote the sample points. The following probability assignments apply: P(E1) = 0.10, P(E2) = 0.20, P(E3) = 0.10, P(E4) = 0.25, P(Es) = 0.10, P(E6) = 0.10, and P(E7) = 0.15. Assume the following events when answering the questions. A = {E1, E4, E6} B = {E2, E4, E7 } C = {E2, E3, E5, E7 } a. Find P(A), P(B), and P(C). If necessary round your answers to two deicmal places. P( A) = P(B) P(C) = b. What is A U B? (i) { E3, E5} (ii) { E1, E2, E6, E7 } (iii) { E1, E2, E4, E6, E7 } (iv) { E1, E4, E6 } (v) {E2, E4, E7} Choice (iii) What is P(A U B)? If necessary round your answer to two deicmal places.c. What is A O B? (i){E1,E2,Ee-..E7} (ii) {E4} (iii) {E1,E2,E3,E5,E6,E7} (iv) {191,434,136} (V) {192,134,137} (vi) {{3} What is P(A n B)? If necessary round your answer to two deicmal places. d. Are events A and C mutually exclusive? - Select your answer - v e. What is .36? (i) {E13E33E51E6} (ii) {E23E43E55E7} (iii) {E3,E4,E5,E6} (iv) {E1,E4,Es} (V) {E23E41E7} (vi) {{3} What is P(B)? If necessary round your answer to two deicmal places