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 ={E1, E4, E6} B= {E2, E4, E7} C ={E2, E3, E5, E7}
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).