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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
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 thatA and B are independent events with PM] = 0.3 and PICS) = 0.5. (a) If the Asian project is not successful, what is the probability that the European project is also not successful? Explain your reasoning. Since the events are not independent, then A'and B'are mutually exclusive. Since the events are independent, then A" and B'are mutually exclusive. Since the events are independent, then A" and B'are not independent. Since the events are independent, then A" and B'are independent. {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 successfulr what is the probability that onlyr the Asian project is successful? [Round your answer to three decimal places.) {d} What is the probability that both projects are successful? [Round your answer to three decimal places.)- |:|
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