23. Suppose that we have a sample space S {E1, E2, E3, E4, E5, E6, E7}, where E1, E2, . . . , E7 denote the sample points. The following probability assignments apply: P(E1) .05, P(E2) .20, P(E3) .20, P(E4) .25, P(E5) .15, P(E6) .10, and P(E7) .05. Let

a. Find P(A), P(B), and P(C). b. Find A UB and P(A U B). c. Find AB and P(AB). A = {E, E. E} B = {E2, E4, E7} CE, E3, Es, E} d. Are events A and C mutually exclusive? Find B and P(B).