1. You are given the following information on Events A, B, C, and D. (1.5 P(A) = .4 P(A U D) = .6 P(B) = .2- P(A | B) = .3 P(C) = .1 P(An C) = .04 P(A n D) = .03 a." Compute P(D) (Please show your work).~ b." Compute P(A n B) (Please show your work). c." Compute P(A | C) (Please show your work).~ d. Compute the probability of the complement of C (Please show your work e. Are A and B mutually exclusive? Explain your answer.~ f." Are A and B independent? Explain your answer.~ g." Are A and C mutually exclusive? Explain your answer.~ h. Are A and C independent? Explain your answer.~