You Are Given the Following Information on Events A, B

You are given the following information on Events A, B, C, and D.
PA) = .4 PA ⋃ D) = .6
PB) = .2 PA | B) = .3
PC) = .1 PA ∩ C) = .04 PA ∩ D) = .03
a. Compute PD).
b. Compute PA ∩ B).
c. Compute PA | C).
d. Compute the probability of the complement of C.
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.