Exam 15: Decision Theory

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The maximin criterion finds the best possible payoff for each alternative and then chooses the alternative that yields the maximum payoff.

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A __________ is a diagram that assists the decision maker in analyzing a decision problem.

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Maximin is a criterion used when making decisions under certainty.

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The expected _________ criterion tells the decision maker to choose the alternative with the highest expected payoff.

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The utility curve given below represents the preferences of a _________________ decision maker. The utility curve given below represents the preferences of a _________________ decision maker.

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Expected value of _________ is defined as the expected payoff under certainty subtracted by the expected payoff under risk.

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The maximax criterion finds the best possible payoff for each alternative,and then chooses the alternative that yields the maximum (best)possible payoff.

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An investor is looking at three possible investments: growth stock,blue chip stock,or municipal bonds.The investment performance will vary depending on the investment market condition of Bull (market rising),flat,or Bear (market falling).The investment return for each investment for the corresponding market conditions is given below: Bull Flat Bear Growth Stock 20 1 -6 Blue Chip 9 8 0 Bonds 4 4 4 Which investment would the investor select if the maximax criterion is used?

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When the maximin criterion is used,the decision-maker assumes that for any alternative action,the state of nature with the maximum payoff will take place.

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An investor has the following utilities corresponding to various possible returns on an investment: Profit Utility \ 100,000 1 \ 75,000 0.9 \ 40,000 0.6 \ 0 0.25 -\ 5,000 0.10 -\ 10,000 0 -The investor is considering an investment with the following potential returns and the probability of these returns. Profit Probability \ 100,000 0.1 \ 40,000 0.5 -\ 10,000 0.4 What is the investor's expected utility for this investment?

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The utility curve given below represents the preferences of a _________________ decision maker. The utility curve given below represents the preferences of a _________________ decision maker.

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A decision-maker's expected _____________ is based upon his/her attitude towards risk.

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The quality control manager for the NKA Inc.must decide whether to accept (alternative 1),further analyze (alternative 2),or reject (alternative 3)the shipment (lot)of incoming material.The historical data indicates that there is 30% chance that the lot is poor quality (S1),50% chance that the lot is fair quality (S2),and 20% chance that the lot is good quality (S3).Assume the following payoff table is available.The values in the payoff table are in thousands of dollars. States of Nature Decision Accept 20 30 90 Further analyze 60 70 15 Reject 80 50 30 Based on historical data,if the lot is of poor quality,40% of the items are defective.If the lot is fair quality,22% of the items are defective.If the lot is good quality,10 % of the items are defective.The quality control manager inspects one unit from a recent shipment. -After inspecting one unit,the manager determines that the unit is defective.If the inspected item is defective,determine which alternative action the quality control manager should choose.

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A tire manufacturer needs to make a decision about the amount of production for the coming month (high vs.low).The level of production largely depends on the level of demand.For this situation,the amount of production constitutes the ___________________ actions.

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The quality control manager for the NKA Inc.must decide whether to accept (alternative 1),further analyze (alternative 2),or reject (alternative 3)the shipment (lot)of incoming material.The historical data indicates that there is 30% chance that the lot is poor quality (S1),50% chance that the lot is fair quality (S2),and 20% chance that the lot is good quality (S3).Assume the following payoff table is available.The values in the payoff table are in thousands of dollars. States of Nature Decision Accept 20 30 90 Further analyze 60 70 15 Reject 80 50 30 Based on historical data,if the lot is of poor quality,40% of the items are defective.If the lot is fair quality,22% of the items are defective.If the lot is good quality,10 % of the items are defective.The quality control manager inspects one unit from a recent shipment.After inspecting one unit,the manager determines that the unit is defective.Based on this additional information,what is the revised (posterior)probability for the reject state?

(Multiple Choice)
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The quality control manager for the NKA Inc.must decide whether to accept (alternative 1),further analyze (alternative 2),or reject (alternative 3)the shipment (lot)of incoming material.The historical data indicates that there is 30% chance that the lot is poor quality (S1),50% chance that the lot is fair quality (S2),and 20% chance that the lot is good quality (S3).Assume the following payoff table is available.The values in the payoff table are in thousands of dollars. States of Nature Decision Accept 20 30 90 Further analyze 60 70 15 Reject 80 50 30 -What alternative action should be selected according to maximin criterion?

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A set of potential future conditions that will have an effect on the results of a decision is called the states of nature.

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