# An oil exploration company currently has two active ## Problem 71E Chapter 2

Probability and Statistics for Engineering and the Sciences | 9th Edition

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Problem 71E

An oil exploration company currently has two active projects, one in Asia and the other in Europe. Let ?A ?be the event that the Asian project is successful and ?B ?be the event that the European project is successful. Suppose that ?A ?and ?B ?are independent events with P(A) = .4and P(B) = .7. a. ?If the Asian project is not successful, what is the probability that the European project is also not successful? Explain your reasoning. b.? ?What is the probability that at least one of the two projects will be successful? c. ?Given that at least one of the two projects is successful, what is the probability that only the Asian project is successful?

Step-by-Step Solution:

Answer : Step 1 of 3 : Given, An oil exploration company currently has two active projects, one in Asia and the other in Europe. Let A be the event that the Asian project is successful and B be the event that the European project is successful. Suppose that A and B are independent events with P(A) = .4 and P(B) = .7. a) A and B are independent. Happening of B does not depend on occurrence of A. thus not being successful an asian project does not affect probability of success in European project. Therefore, P(B ) = 1 - P(B) = 1 - 0.7 = 0.3 Step 2 of 3 : b) let the event be c c c P(C) = 1 - P(A B ) c c = 1 - P(A ) P(B ) = 1 - (1 - 0.4) (1-0.7) = 1 - (0.6) (0.3) = 0.82

Step 3 of 3

##### ISBN: 9780321629111

Probability and Statistics for Engineering and the Sciences was written by and is associated to the ISBN: 9780321629111. Since the solution to 71E from 2 chapter was answered, more than 766 students have viewed the full step-by-step answer. This full solution covers the following key subjects: successful, project, Projects, Asian, Probability. This expansive textbook survival guide covers 18 chapters, and 1582 solutions. The full step-by-step solution to problem: 71E from chapter: 2 was answered by , our top Statistics solution expert on 05/06/17, 06:21PM. The answer to “An oil exploration company currently has two active projects, one in Asia and the other in Europe. Let ?A ?be the event that the Asian project is successful and ?B ?be the event that the European project is successful. Suppose that ?A ?and ?B ?are independent events with P(A) = .4and P(B) = .7. a. ?If the Asian project is not successful, what is the probability that the European project is also not successful? Explain your reasoning. b.? ?What is the probability that at least one of the two projects will be successful? c. ?Given that at least one of the two projects is successful, what is the probability that only the Asian project is successful?” is broken down into a number of easy to follow steps, and 116 words. This textbook survival guide was created for the textbook: Probability and Statistics for Engineering and the Sciences, edition: 9.

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