Question: Suppose that we have a sample space S = {E1, E2, E3, E4, E5, E5, E7}, where E1, E2, ..., E7 denote the sample points.

Suppose that we have a sample space S = {E1, E2, E3, E4, E5, E5, E7}, where E1, E2, ..., E7 denote the sample points. The following probability assignments apply: P(E1) = 0.05, P(Ez) = 0.2, P(E3) = 0.15, P(E4) = 0.25, P(E5) = 0.15, P(Ea) = 0.1, and P(Ey) = 0.1. Assume the following events when answering the questions. A a {51- EAeEsl B * {E2.E,..E-,} Cw [32. 133135.51} a. Find P(A), P(B), and P(C). P(A) mm M) _ b. What is P(A U B)? c. What is P(A D B)? d. Are events A and C mutually exclusive? e. What is P(Bc )

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