QUESTION 9 Refer to the following payoff table: State of Nature S2 -40 100 0.4 S1 75 Alternative A1 A2 Prior Probability0.6 There is an option of paying $100 to have research done to better predict which state of nature will occur. When the true state of nature is S1, the research will accurately predict S1 60% of the time. When the true state of nature is S2, the research will accurately predict S2 80% of the time. Given that the research is done, what is the joint probability that the state of nature is si and the research predicts S1? A. 0.08 B. 0.16 C. 0.24 D. 0.36
QUESTION 9 Refer to the following payoff table: State of Nature S2 -40 100 0.4 S1 75 Alternative A1 A2 Prior Probability0.6 There is an option of paying $100 to have research done to better predict which state of nature will occur. When the true state of nature is S1, the research will accurately predict S1 60% of the time. When the true state of nature is S2, the research will accurately predict S2 80% of the time. Given that the research is done, what is the joint probability that the state of nature is si and the research predicts S1? A. 0.08 B. 0.16 C. 0.24 D. 0.36
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 1E: If a game gives payoffs of $10 and $100 with probabilities 0.9 and 0.1, respectively, then the...
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