Exam 9: Decision Making Under Uncertainty

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Bayes' rule is used to:

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Expected monetary value (EMV)is:

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Exhibit 9-1 A farmer must decide whether to take protective action to limit damage to his grapefruit crop in the event that the overnight temperature falls to a level well below freezing. If the temperature drops too low he runs the risk of losing his entire crop, valued at $75,000. Based on the National Weather Service, the probability of such a temperature drop is 60%. He can insulate his crop by spraying water on all the trees, which will cost $20,000. This action might succeed in protecting the crop, with the following Probability Damage 0.30 \ 0 0.15 \ 5,000 0.10 \ 10,000 0.15 \ 15,000 0.30 \ 20,000 -Refer to Exhibit 9-1.Find the highest cost of insulating the grapefruits for which the farmer prefers to insulate his crop.

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The risk profile from Precision Tree shows the probability distribution of monetary outcomes in both graphical and tabular form.

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Which of the following are probabilities that are conditioned on information that is obtained

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Probabilities on the branches of a chance node may be ____ events that have occurred earlier in the decision tree.

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Exhibit 9-2 A customer has approached a local credit union for a $20,000 1-year loan at a 10% interest rate. If the credit union does not approve the loan application, the $20,000 will be invested in bonds that earn a 6% annual return. Without additional information, the credit union believes that there is a 5% chance that this customer will default on the loan, assuming that the loan is approved. If the customer defaults on the loan, the credit union will lose the $20,000. -Refer to Exhibit 9-2.The bank can thoroughly investigate the customer's credit record and obtain a favorable or unfavorable recommendation.If the credit report is perfectly reliable,what is the most the credit union should be willing to pay for the report

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Which of the following statements is true concerning decision tree conventions

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Bayes' rule is used for updating the probability of an uncertain outcome after observing the results of a test or study.

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Prior probabilities are sometimes called likelihoods,the probabilities that are influenced by information about the outcome of an earlier uncertainty.

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