You are given the following information on events A, B, C, and D. P(A) = .4 P(A ? D) = .6 P(A ? C) = .04 P(B) = .2 P(A?B) = .3 P(A ? D) = .03 P(C) = .1
a. Compute P(D).
b. Compute P(A ? B).
c. Compute P(A?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.
a. 0.23
b. .06
c. 0.4
d. .9
e. No, P(A ? B) ? 0
f. No, P(A ? B) ? P(A)
g. No, P(A ? C) ? 0
h. Yes, P(A ? C) = P(A)
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