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Statistics / Applied Statistics and Probability for Engineers 6 / Chapter 2.6 / Problem 143E

Applied Statistics and Probability for Engineers | 6th Edition | ISBN: 9781118539712 | Authors: Douglas C. Montgomery, George C. Runger

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QUESTION: Problem 143E

If P(A|B) = 0.3, P(B) = 0.8, and P(A) = 0.3, are the events B and the complement of A independent?

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QUESTION: Problem 143E

If P(A|B) = 0.3, P(B) = 0.8, and P(A) = 0.3, are the events B and the complement of A independent?

ANSWER:

Solution 143E

Step1 of 2:

From the given problem we have:

P(A|B) = 0.3,

P(B) = 0.8, and

P(A) = 0.3.

We need to check whether the events A and B are independent.

Step2 of 2:

Let us consider two events A’ and B, The events A and B said to be ind

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