Question: 23. Suppose that we have a sample space S {E1, E2, E3, E4, E5, E6, E7}, where E1, E2,..., E7 denote the sample points.

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 B and P(A B).

c. Find A B and P(A B).

d. Are events A and C mutually exclusive?

e. Find Bc and P(Bc

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