Suppose an oil company is thinking of buying some land for $950,000. There is a 60% chance of economic growth and a 40% chance of recession. The probability of discovering oil is 46% when there is economic growth and 34% when there is a recession. If there is economic growth and the oil company discovers oil, the value of the land will triple. If they do not discover oil, the value of the land will decrease by 10%. If there is a recession and the company discovers oil, the value of the land will increase by 50%. If they do not discover oil, the land will decrease in value by 75%. What is the expected value of the investment? Give your answer to the nearest dollar. Avoid rounding within calculations.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 44E
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Suppose an oil company is thinking of buying some land for $950,000. There is a 60% chance of economic growth and a 40% chance of recession. The probability of discovering oil is 46% when there is economic growth and 34% when there is a recession. If there is economic growth and the oil company discovers oil, the value of the land will triple. If they do not discover oil, the value of the land will decrease by 10%. If there is a recession and the company discovers oil, the value of the land will increase by 50%. If they do not discover oil, the land will decrease in value by 75%.
What is the expected value of the investment? Give your answer to the nearest dollar. Avoid rounding within calculations.

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