Exam 9: Decision Analysis

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  -The maximin strategy is: -The maximin strategy is:

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The exponential utility function assumes a constant aversion to risk

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Bayes' theorem is a formula for determining prior probabilities of a state of nature

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An advantage of payoff tables compared to decision trees is that they permit us to analyze situations involving sequential decisions

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The Bayes' decision rule strategy is:

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  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. -What is the expected value of perfect information? 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. -What is the expected value of perfect information?

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What is the posterior probability of S1 given that the research predicts S1?

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  -The maximum likelihood strategy is: -The maximum likelihood strategy is:

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The expected value of perfect information is:

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Two professors at a nearby university want to co-author a new textbook in either economics or statistics.They feel that if they write an economics book they have a 50% chance of placing it with a major publisher where it should ultimately sell about 40,000 copies.If they can't get a major publisher to take it,then they feel they have an 80% chance of placing it with a smaller publisher,with sales of 30,000 copies.On the other hand if they write a statistics book,they feel they have a 40% chance of placing it with a major publisher,and it should result in ultimate sales of about 50,000 copies.If they can't get a major publisher to take it,they feel they have a 50% chance of placing it with a smaller publisher,with ultimate sales of 35,000 copies. -What is the expected payoff for the decision to write the economics book?

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A decision tree branches out all of the possible decisions and all of the possible events

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  -The maximin strategy is: -The maximin strategy is:

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Which of the following is not a criterion for decision making?

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Prior probabilities refer to the relative likelihood of possible states of nature

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  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 S1 and the research predicts S2? 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 S1 and the research predicts S2?

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The maximin approach involves choosing the alternative with the highest payoff

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  -The maximax strategy is: -The maximax strategy is:

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Graphical analysis can only be used in sensitivity analysis for those problems that have two decision alternatives

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