Exam 13: The Value of Information

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If Pr(a)= 0.4,Pr(b)= 0.3,and Pr(ba)= 0.5,then Pr(a&b)is _____.

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C

Given two methods for developing a new product,a firm should undertake:

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A prior probability refers to:

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A

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 bank has categorized its credit card accounts as high risk or low risk.The overall default rate on all the bank's credit card accounts is 0.20.In the past,of the accounts that defaulted,50 percent were correctly identified by the bank as high risk.What is the default risk for a high-risk credit card account?

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Suppose that the chance of having both a favorable survey and an unsuccessful product launch is 0.2.In addition,the frequency of favorable market surveys for all new product launches is 0.5.Then the chance of a successful product launch given a favorable survey is:

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When there is perfect information on the outcome of an event,the revised probability of the event will be:

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A decision-maker should acquire new information:

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The Professional Beach Volleyball League is accepting bids for televising the national championship playoffs.Competition is stiff,and the league expects bids to be higher this year than last.League officials have estimated that the bid of a particular network might range between $10 million and $20 million,with all values in between considered equally likely.Furthermore,the values of network bids are considered to be (probabilistically)independent of each other. (a)If the three major television networks bid,what is the expected value of the winning bid?

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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 0.6.With a perfect market survey,what is the probability that the test will show that demand is strong?

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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 [EVI].

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In making sequential risky investments,what is the firm's optimal stopping rule? Provide a brief explanation as to why it makes sense.

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When investing in a venture with increasing probabilities of success,the firm's optimal-stopping strategy is to:

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(a)Suppose that buyers' offers are independently and uniformly distributed between $32 million and $56 million.Construct a table showing expected maximum prices with 1 to 7 buyers.

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Information is considered to be valueless if:

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A firm is considering the development of a new technology with a declining probability of success in each research stage.The firm's researchers have estimated the probabilities at 0.35,0.25,0.15,0.07,and 0.01 for the various stages.The profit the firm would receive for successful development is $100 million,while the cost of research in each period is $10 million.How many investment stages should the firm undertake before abandoning the project?

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

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How is a uniform distribution defined?

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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 [EVI] is _____.

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A petrochemical company must decide whether to fill a specialty order for one of its customers.Its cost (and therefore profit)depends on the quality of the raw material it has on hand to make the chemical.The firm expects to earn $50,000 from the order if the material is high quality (H)but will lose $30,000 if it is low quality (L).The firm's engineers estimate these probabilities to be 0.32 and 0.68 respectively.Before making its decision,the firm can test the material with one of two outcomes,"favorable" or "unfavorable." A favorable test increases the chance of H to 0.5,while an unfavorable result reduces it to 0.2.The likelihood of a favorable test is 0.4.Determine the expected value of this test.

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