You are given the following information on Events A, B, C, and D.

P(A) = .5

P(B) = .3

P (C) = .15

P(A U D) = .7

P(A C) = 0.05

P (A B) = 0.22

P (A D) = 0.25

1. Compute P(D).
2. Compute P(A B).
3. Compute P(A | C).
4. Compute the probability of the complement of C.
5. What does it mean to be mutually exclusive? Give an example of two events that are mutually exclusive.