Let P(A) = 0.40, P(B) =
0.35, and P(A ∩ B) = 0.13.
a. Are A and B independent
events?
A. Yes because P(A | B) = P(A).
B. Yes because P(A ∩ B) ≠ 0.
C. No because P(A | B) ≠ P(A).
D. No because P(A ∩ B) ≠ 0.
b. Are A and B mutually
exclusive events?
A. Yes because P(A | B) = P(A).
B. Yes because P(A ∩ B) ≠ 0.
C. No because P(A | B) ≠ P(A).
D. No because P(A ∩ B) ≠ 0.
c. What is the probability that neither A
nor B takes place? (Round your answer to 2 decimal
places.)
Probability:_______
Below is a proof
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