Exam 9: Decision Analysis

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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

(True/False)
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A event node in a decision tree indicates that a decision needs to be made at that point

(True/False)
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In decision analysis,states of nature refer to possible future conditions

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The operations manager for a local bus company wants to decide whether he should purchase a small, medium, or large new bus for his company. He estimates that the annual profits (in $000) will vary depending upon whether passenger demand is low, moderate, or high, as follows. The operations manager for a local bus company wants to decide whether he should purchase a small, medium, or large new bus for his company. He estimates that the annual profits (in $000) will vary depending upon whether passenger demand is low, moderate, or high, as follows.    -If he uses Bayes' decision rule,which size bus will he decide to purchase? -If he uses Bayes' decision rule,which size bus will he decide to purchase?

(Multiple Choice)
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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 probability that the statistics book would wind up being placed with a smaller publisher?

(Multiple Choice)
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A posterior probability is a revised probability of a state of nature after doing a test or survey to refine the prior probability

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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 S2 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 S2 and the research predicts S2?

(Multiple Choice)
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  -The maximin strategy is: -The maximin strategy is:

(Multiple Choice)
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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 not done,what is the expected payoff using Bayes' decision rule? 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 not done,what is the expected payoff using Bayes' decision rule?

(Multiple Choice)
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States of nature are alternatives available to a decision maker

(True/False)
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The maximum likelihood criterion says to focus on the largest payoff

(True/False)
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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 probability that the economics book would wind up being placed with a smaller publisher?

(Multiple Choice)
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A risk seeker has a decreasing marginal utility for money

(True/False)
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Using Bayes' decision rule will always lead to larger payoffs

(True/False)
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The maximin criterion refers to:

(Multiple Choice)
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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: 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 Bayes' decision rule,which kind of dwellings will he decide to build? -If he uses Bayes' decision rule,which kind of dwellings will he decide to build?

(Multiple Choice)
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The operations manager for a local bus company wants to decide whether he should purchase a small, medium, or large new bus for his company. He estimates that the annual profits (in $000) will vary depending upon whether passenger demand is low, moderate, or high, as follows. The operations manager for a local bus company wants to decide whether he should purchase a small, medium, or large new bus for his company. He estimates that the annual profits (in $000) will vary depending upon whether passenger demand is low, moderate, or high, as follows.    -If he uses the maximum likelihood criterion,which size bus will he decide to purchase? -If he uses the maximum likelihood criterion,which size bus will he decide to purchase?

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

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

(Multiple Choice)
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The expected value of perfect information is:

(Multiple Choice)
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