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Statistics / Probability and Statistical Inference 9 / Chapter 1.4 / Problem 1E

Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

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Let A and B be independent events with P(A) =0.7 and P(B)

Chapter 1, Problem 1E

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QUESTION:

PROBLEM 1E

Let A and B be independent events with P(A) =0.7 and P(B) = 0.2. Compute (a) P(A∩ B), (b) P(A∪ B), and (c) P(A' ∪ B' ).

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QUESTION:

PROBLEM 1E

Let A and B be independent events with P(A) =0.7 and P(B) = 0.2. Compute (a) P(A∩ B), (b) P(A∪ B), and (c) P(A' ∪ B' ).

ANSWER:

Solution :

Step 1 of 3:

The events A and B are independent with P(A) =0.7 and P(B) = 0.2. We have to find the probabilities.

P(A $\cap{}B)$
P(A $\cup{}B)$
P(A $'\cup{}B'$ )

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