Suppose that we have a sample space S = [5 , 8,, 5, 5., 5, 5, Fil, where Er, 5iron, 5 danote the sample points. The following probability assignmenta apply P(BI) - 0.05, P(5) - 0.20, P(By) - 0.10. P(E.) -0.35, P(5:) - 0.10, P(5;) - 0.10, and P(5,) - 0.20. Assume the following events when antiwaring the questions. B - [B, &, B) C - (B, &, &,2) a. Find P(A). P(5), and P(C). If necessary round your antowers to two delomal places P(A) - P(B) - P(C)- b. What is AUB? (iv) [B, B., B) () (B.E,&) (vi) [of -Select your answer - What is P(AU B)? If necessary round your artswar to two deicmal places e. What is An B (w) [B, B., B.) (vi) [o) -Select your Answer - What is Plan B)? If necessary al places d. Are events A and C mutually exclusive? . What is B? () [E, E. B) Select your answer - What is PIE )7 If necessary to