36. A manager has developed a table that shows payoffs for a future store. The payoffs depend onthe size of the store and the strength of demand (in thousands):Store sizeDemandLowHighSmallLarge1,5002,5005004,000The manager estimates that the probability of low demand is 0.50, and the probability of highdemand is 0.50. The manager could request that a local research firm conduct a survey (cost:100,000) that could better indicate whether demand will be low or high. In discussion with theresearch firm, the manager has learned the following about the reliability of surveys conductedby the firm:Survey showedActual results wasHigh0.30LowLow0.90High0.100.70a. If the manager should decide to use the survey, what would the revised probabilities be fordemand, and what probabilities should be used for survey results?b. Construct a tree diagram for this problemc. Would you recommend that the manager use the survey ?

Decision-making under risk is a probabilistic decision situation in which more than one state of…

Answered: 36. A manager has developed a table…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.4: Expected Value

Problem 2E: If you played the game in Exercise 1 many times, then you would expect your average payoff per game...

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If you played the game in Exercise 1 many times, then you would expect your average payoff per game lo be about $ ____________.
2) . In February 2021, the Chicago Tribune reported:“The overdose epidemic that has ravaged Chicago has not spared the nearby suburbs, some of which have death rates comparable to anything seen in the city, according to a report released this week by the Cook County Department of Public Health. ZIP codes in the towns of Worth, Broadview, Maywood, and Forest Park, areas that “have substantially lower median household incomes and higher poverty rates,” have been especially hard-hit, the report said.”In the article, they claimed that lower incomes were associated with higher overdose death rates and that overdose death rates are increasing over time. The data you have been analyzing wasn’t focused on Chicago, obviously. But do your results support the general gist of the statistical argument being made in this Tribune excerpt? Please address:• Do overdose death rates appear to be associated with per capita income (use scatterplot)?• Do overdose death rates appear to be increasing over…
A lawyer considers taking a case figures that there is a 40% chance of winning the case in court and earning his firm $400,000, a 50% chance of losing the case in court and costing his firm $150,000, and a 10% chance of settling out of court and bringing in $200,000. What is the expected payoff of the case for the firm?
7.6 A leading researcher in the study of interstate highway accidents proposes that a major cause of many collisions on the interstates is not the speed of the vehicles but rather the difference in speeds of the vehicles. When some vehicles are traveling slowly while other vehicles are traveling at speeds greatly in excess of the speed limit, the faster-moving vehicles may have to change lanes quickly, which can increase the chance of an accident. Thus, when there is a large variation in the speeds of the vehicles in a given location on the interstate, there may be a larger number of accidents than when the traffic is moving at a more uniform speed. The researcher believes that when the standard deviation in speed of vehicles exceeds 10 mph, the rate of accidents is greatly increased. During a 1-hour period of time, a random sample of 50 vehicles is selected from a section of an interstate known to have a high rate of accidents, and their speeds are recorded using a radar gun. The data…
2. A leading researcher in the study of interstate highway accidents proposes that a major cause of many collisions on the interstates is not the speed of the vehicles but rather the difference in speeds of the vehicles. When some vehicles are traveling slowly while other vehicles are traveling at speeds greatly in excess of the speed limit, the faster-moving vehicles may have to change lanes quickly, which can increase the chance of an accident. Thus, when there is a large variation in the speeds of the vehicles in a given location on the interstate, there may be a larger number of accidents than when the traffic is moving at a more uniform speed. The researcher believes that when the standard deviation in speed of vehicles exceeds 10 mph, the rate of accidents is greatly increased. During a 1-hour period of time, a random sample of 50 vehicles is selected from a section of an interstate known to have a high rate of accidents, and their speeds are recorded using a radar gun. The data…
Indicate whether the statement is true or false, and justify your answer.If the quality of cars is normally distributed rather than uniformly distributed, the market will not unravel.
A company studied the number of lost-time accidents occurring at its Brownsville, Texas, plant. Historical records show that 6% of the employees suffered lost-time accidents last year. Management believes that a special safety program will reduce such accidents to 5% during the current year. In addition, it estimates that 15% of employees who had lost-timeaccidents last year will experience a lost-time accident during the current year. a. What percentage of the employees will experience lost-time accidents in both years?b. What percentage of the employees will suffer at least one lost-time accident over the two-year period?
3. Scenario It is believed that large doses of acetaminophen (the active ingredient in over the counter pain relievers like Tylenol) may cause damage to the liver in nearly half of those tested. A researcher wants to conduct a study to estimate if the proportion of acetaminophen users who have liver damage is the same as previously reported. For participating in this study, he will pay each subject $20 and provide a free medical consultation if the patient has liver damage. Part A If he wants to limit the margin of error of his 98% conﬁdence interval to 2%, what is the minimum number of subjects he needs? (answer should be in the form of x,xxx) the minimum amount of money he needs to set aside to pay his subjects? $ (answer should be in the form of $xx,xxx) Part B The amount you calculated in Part A is substantially over his budget so he decides to use fewer subjects. Will this change increase or decrease the width of his conﬁdence interval? Will this new confidence interval be…
Hudson Corporation is considering three options for managing its data processing operation: continue with its own staff, hire an outside vendor to do the managing (referred to as outsourcing), or use a combination of its own staff and an outside vendor. The cost of the operation depends on future demand. The annual cost of each option (in thousands of dollars) depends on demand as follows: a. If the demand probabilities are .2, .5,and .3, which decision alternative will minimize the expected cost of the data processing operation? What is the expected annual cost associated with your recommendation? b. What is the expected value of perfect information?

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