Question

In: Statistics and Probability

The next four questions refer to the following information: Two methods, A and B, are available...

The next four questions refer to the following information: Two methods, A and B, are available for teaching a certain industrial skill. There is a 95% chance of successfully learning the skill if method A is used, and an 80% chance of success if method B is used. However, method A is substantially more expensive and is therefore used only 25% of the time (method B is used the other 75% of the time). The following notations are suggested: A—method A is used B—method B is used L—the skill was Learned successfully

Which of the following is the correct representation of the information that is provided to us?

   P(A) = .25, P(B) = .75, P(A | L) = .95, P(B | L) = .80

   P(A) = .25, P(B) = .75, P(L | A) = .95, P(L | B) = .80

   P(A) = .25, P(B) = .75, P(A and L) = .95, P(B and L) = .80

   P(A and L) = .25, P(B and L) = .75, P(L | A) = .95, P(L | B) = .80

   P(A | L) = .25, P(B | L) = .75, P(L | A) = .95, P(L | B) = .80

Solutions

Expert Solution

Option-B) P(A) = .25, P(B) = .75, P(L | A) = .95, P(L | B) = .80

                                                                                                                                                                                                                                                                                                           


Related Solutions

Use the following information to answer the next four questions: Consider two municipalities, A and B,...
Use the following information to answer the next four questions: Consider two municipalities, A and B, in the same province. Residents in municipality A enjoy attending outdoor music concerts (a public good) held in their public park. Each resident in municipality A has a marginal benefit curve for these concerts given by MB=10-2Q, where Q is the number of outdoor concerts. There are 100 residents in this municipality. Residents in municipality B do not enjoy outdoor music concerts (they are...
Use the following information to answer the next three questions: The following information is available from...
Use the following information to answer the next three questions: The following information is available from the records of Aggies R Us, Inc. at the end of the 2017 calendar year.  Assume this is Aggies’ 1st year of operation. Accounts Receivable           $102,200        Notes Payable                       $???? Cash                                        70,890              Salary Expense                   320,000 Building                                    75,000           Retained earnings ???? Advertising Expense                60,000             Accounts Payable                  62,800                                    Dividends                                 12,200             Income Tax Expense             23,100 Service Revenues                  460,000             Common Stock                    120,000            Office Equipment                     22,500             Wages Payable                     15,450 Determine Aggies’ Net Income for the year ended December 31, 2017: A. $36,900 B. $80,000 C. $56,900 D. $44,700...
The next two questions refer to the following situation. In order to compare two kinds of...
The next two questions refer to the following situation. In order to compare two kinds of feed, thirteen pigs are split into two groups, and each group received one feed. The following are the gains in weight (kilograms) after a fixed period of time: Feed A: 8.0 7.4 5.8 6.2 8.8 9.5 Feed B: 12.0 18.2 8.0 9.6 8.2 9.9 10.3 We wish to test the hypothesis that Feed B gives rise to larger weight gains. 20. The appropriate test...
Use the following information to answer the next four questions. The cash flows for two mutually...
Use the following information to answer the next four questions. The cash flows for two mutually exclusive projects are shown in the following table. Investors require a 16% rate of return for each project. Year Cash Flows: Project S (in millions) Cash Flows: Project T (in millions) 0 -200 -200 1 -20 50 2 45 60 3 70 30 4 -10 -40 5 125 100 6 125 100 7 150 100 Find the profitability index for project S. Round intermediate...
The next two questions (7 and 8) refer to the following: The weight of bags of...
The next two questions (7 and 8) refer to the following: The weight of bags of organic fertilizer is normally distributed with a mean of 60 pounds and a standard deviation of 2.5 pounds. 7. What is the probability that a random sample of 33 bags of organic fertilizer has a total weight between 1963.5 and 1996.5 pounds? 8. If we take a random sample of 9 bags of organic fertilizer, there is a 75% chance that their mean weight...
USE THE FOLLOWING INFORMATION FOR THE NEXT 2 QUESTIONS Cornell Products has the following information available...
USE THE FOLLOWING INFORMATION FOR THE NEXT 2 QUESTIONS Cornell Products has the following information available for 2020:                                                                          UNITS                                                      BEGINNING INVENTORY-----0 UNITS                                                      ENDING INVENTORY----5,400 UNITS                                                                             COSTS Direct materials $1.00 per unit Direct labor $2.00 per unit Variable manufacturing overhead $1.50 per unit Variable selling and administrative costs $ .50 per unit Fixed manufacturing overhead $30,000/6,000 = $5.00 per unit Fixed selling and administrative costs $25,000 During 2020, Cornell produced 6,000 units out of which 5,400 units...
Information The next three questions (7 to 9) refer to the following: We would like to...
Information The next three questions (7 to 9) refer to the following: We would like to determine how the weight of a car can be used to predict its fuel efficiency. The weight (in pounds) and the fuel efficiency (in miles per gallon) are recorded for a sample of ten cars. The least squares regression line is calculated to be ŷ =51.47−0.0089x{"version":"1.1","math":"\hat{y} = 51.47 - 0.0089x"}. It is also determined that 58.5% of the variation in a car's fuel efficiency...
For the next 7 questions, please refer to the following information. Mr. Cherry owns a gas...
For the next 7 questions, please refer to the following information. Mr. Cherry owns a gas station on a highway in Vermont. In the afternoon hours, there are, on average, 30 cars per hour passing by the gas station that would like to refuel. However, because there are several other gas stations with similar prices on the highway, potential customers are not willing to wait—if they see that all of the pumps are occupied, they continue on down the road....
The next two questions refer to the following physical situation: Two blocks (masses m1 = 30...
The next two questions refer to the following physical situation: Two blocks (masses m1 = 30 kg and m2 = 7 kg) sit atop one another as shown below. The coefficient of static friction between the blocks is μs= 0.32.  There is no friction between the lower block and the surface on which it rests. A constant external force F is applied to the lower block. What is Fmax, the maximum magnitude of this force such that the upper block does...
For the next four questions, assume the following information about a population. The variance (?2) =...
For the next four questions, assume the following information about a population. The variance (?2) = 9 and the mean (?) = 30. Based on calculation of the z scores and use of the Standard Normal Curve: What proportion of the scores can be expected to be above 33? What proportion of the scores can be expected to be between 33 and 36? What proportion of the scores can be expected to be between 26 and 35? What are the...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT