Let P(A) = 0.15, P(B) = 0.10, and P(A B) = 0.05. a. Are A and

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Let P(A) = 0.15, P(B) = 0.10, and P(A ∩ B) = 0.05.

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?

Related Book For answer-question

Probability and Statistical Inference

ISBN: 978-0321923271

9th edition

Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

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Posted Date: Jun 25, 2022 01:34 AM

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Let P(A) = 0.15, P(B) = 0.10, and P(A B) = 0.05. a. Are A and

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