An ol 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) = 0.5 and P(B) = 0.3. (a) If the Asian project is not successful, what is the probability that the European project is also not successful? 0.7 Explain your reasoning. Since the events are independent, then A' and B' are independent. O Since the events are independent, then A' and B' are mutually exclusive. O Since the events are independent, then A' and B' are not independent. O Since the events are not independent, then A' and B' are mutually exclusive. (b) What is the probability that at least one of the two projects will be successful? 0.65 (c) Given that at least one of the two projects is successful, what is the probability that only the Asian project is successful? (Round your answer to three decimal places.) 0.76
An ol 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) = 0.5 and P(B) = 0.3. (a) If the Asian project is not successful, what is the probability that the European project is also not successful? 0.7 Explain your reasoning. Since the events are independent, then A' and B' are independent. O Since the events are independent, then A' and B' are mutually exclusive. O Since the events are independent, then A' and B' are not independent. O Since the events are not independent, then A' and B' are mutually exclusive. (b) What is the probability that at least one of the two projects will be successful? 0.65 (c) Given that at least one of the two projects is successful, what is the probability that only the Asian project is successful? (Round your answer to three decimal places.) 0.76
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text: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) = 0.5 and P(B) = 0.3.
(a) If the Asian project is not successful, what is the probability that the European project is also not successful?
0.7
Explain your reasoning.
O Since the events are independent, then A' and B' are independent.
O Since the events are independent, then A' and B' are mutually exclusive.
O Since the events are independent, then A' and B' are not independent.
O Since the events are not independent, then A' and B' are mutually exclusive.
(b) What is the probability that at least one of the two projects will be successful?
0.65
(c) Given that at least one of the two projects is successful, what is the probability that only the Asian project is successful? (Round your answer to three decimal places.)
0.76
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