Exam 13: The Value of Information

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Describe how a decision-maker's attitude toward risk affects her strategy for acquiring information.

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With declining probabilities of success, the optimal-stopping strategy is to:

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What are the conditions suitable for a seller to use an auction? Explain.

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A firm's expected profit without information is $50,000, while its expected value with test information is $75,000. If the cost of the test is $40,000, then the expected value of information is:

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Oliver undergoes a standard medical test while at his regular checkup. The test is 90% reliable in detecting a form of cancer (C) that is found in 2% of the population. In particular, Pr(+|C) = .90. The test is also 90% reliable in screening out cancer, that is, Pr(-|H) = .90. (a) If Oliver tests positive, how likely is it that he actually has cancer? If he tests negative, what is his cancer risk? (b) Persons who test negative, and who actually have cancer, are able to sue for malpractice. Plaintiffs in such legal suits are awarded $250,000 on average (to cover medical expenses, pain and suffering, and legal fees). What is the hospital’s expected monetary liability due to the risk of incorrect negative tests?

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In the late 1990s, many local affiliates of the three TV networks (ABC, CBS, and NBC) left their current partner to join a rival network that was seeking new stations (The networks pay their affiliates to carry programs, which is a major source of revenue for the stations). Why would the affiliates leave their current partner for a new network?

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In a medical study of 5,000 middle-aged men, it was found that (i) 10% suffered heart disease, (ii) 20% got little or no exercise, and (iii) Of those suffering from heart disease, 60% had a history of little or no exercise. Based on this information, determine the risk of heart disease for a middle-aged man who does not exercise.

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An event's revised probability depends on:

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The use of intuitive prediction in forecasting:

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Suppose that two independent geologists begin with different prior assessments concerning the chance of oil and natural gas at a particular site. They both observe the results of a seismic test. Will they agree concerning their revised probabilities? In what instance, would their revised probabilities be identical?

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A firm wants to launch a new luxury product only if demand for the product is strong. The probability that demand is strong is estimated to be .6. With a perfect market survey, what is the probability that the test will show that demand is strong?

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The test result B has no value in predicting outcome A if:

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Which of the following is true of an English auction with private values?

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If Pr(a) = .5 and Pr(b) = .3, then the value of Pr(a&b):

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In a metropolitan area, one out of ten drivers on the road on Saturday after midnight is intoxicated. Half of all accidents during this time period involve drunk drivers. Finally, the overall accident rate on Saturday after midnight is 3 accidents per 100 cars on the road. For a drunk driver, the risk of accident is:

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Explain with an example the potential benefit of competitive bidding versus bargaining to secure a better price by a seller.

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Suppose that the firm's expected profit without test information is $75,000. There exists a perfectly reliable test that produces a positive result with a probability of 0.75 and a negative result otherwise. In light of a positive result, the firm's expected profit is $120,000; after a negative result, its expected profit is $40,000. Find the expected value of information.

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Joint probability refers to:

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The winner's curse occurs when:

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Suppose that the chance of having both a favorable survey and a successful product launch is .3. In addition, the frequency of favorable market surveys for all new product launches is .5. Then the chance of a successful product launch given a favorable survey is:

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