Let P ( A ) = 0.39, P ( B ) = 0.34, and P ( A ? B ) = 0.04. a. Are A and B independent events? Yes b

Let P(A) = 0.39, P(B) = 0.34, and P(A ? B) = 0.04.

 

a.

Are A and B independent events?

 

 

 

 

Yes because P(A | B) = P(A).

 

Yes because P(A ? B) ? 0.

 

No because P(A | B) ? P(A).

 

No because P(A ? B) ? 0.

 

b.

Are A and B mutually exclusive events?

 

 

 

 

Yes because P(A | B) = P(A).

 

Yes because P(A ? B) ? 0.

 

No because P(A | B) ? P(A).

 

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

 

Let P(A) = 0.39, P(B) = 0.34, and P(A ? B) = 0.04.    

 

 

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