Exam 9: Decision Analysis

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Figure Figure   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 posterior probability of S2 given that 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. -What is the posterior probability of S2 given that the research predicts S2?

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C

What is the expected annual profit for the bus that he will decide to purchase using Bayes' decision rule?

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D

What is the expected payoff for the decision to write the statistics book?

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D

Figure Figure   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 S1? 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 S1?

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The maximum likelihood criterion ignores the payoffs for states of nature other than the most likely one.

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A risk seeker has a decreasing marginal utility for money.

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Figure The construction manager for ABC Construction must decide whether to build single family homes,apartments,or condominiums.he estimates annual profits (in $000)will vary with the population trend as follows: Figure The construction manager for ABC Construction must decide whether to build single family homes,apartments,or condominiums.he estimates annual profits (in $000)will vary with the population trend as follows:   -If he uses the maximum likelihood criterion,which kind of dwellings will he decide to build? -If he uses the maximum likelihood criterion,which kind of dwellings will he decide to build?

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The maximin criterion refers to:

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What would be the total payoff is script #1 were a success,but its sequel were not?

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

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The EVPI indicates an upper limit in the amount a decision-maker should be willing to spend to obtain information.

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States of nature are alternatives available to a decision maker.

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What is the expected payoff from selecting script #1?

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What is his expected value of perfect information?

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

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Two people who face the same problem and use the same decision-making methodology must always arrive at the same decision. Multiple Choice Questions

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An advantage of Sensit's Spider graph when compared to Sensit's Tornado chart is that it allows data values to be varied by different percentages.

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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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What is the probability that the economics book would wind up being placed with a smaller publisher?

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