Statistics for Business and Economics
8th Edition
ISBN: 9780132745659
Author: Paul Newbold, William Carlson, Betty Thorne
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
Chapter 3.3, Problem 40E
To determine
Probability of at least one foul-up to occur.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A company that manufactures and sells T-shirts for sporting events, is providing shirts for an upcoming tournament. Each shirt will cost $7 to produce and will be sold for $13. Any unsold shirts at the end of the tournament can be sold for $5 apiece in the near future. The company assumes the demand for the shirts will be 1,500,3,000,4,500, or 6,000. The company also estimates that the probabilities of each of these sales levels occurring will be 20%, 25%,25%, and 30%, respectively. Determine the expected monetary value of the project if the company chooses to print 4,500 shirts for the tournament.
The expected monetary value is----
(Type a whole number.)
Your production line has an automatic scanner to detect defects. In recent production, 2% of items have been defective. Given that an item is defective, the scanner has a 90% chance of identifying it as defective. Of the nondirective items, the scanner has a 90% chance of identifying it correctly as nondirective. Given that the scanner identifies a part as defective, find the conditional probability that the part is truly defective.
The success of a project depends on the effort level of a worker. In case of success the revenues will be $300,000 whereas in case of no-success the revenue will be $0. The worker can provide a low effort level or a high effort level. The effort level cannot be observed by the principal. The worker requires an expected salary of $50,000 to provide the low effort level and an expected salary of $60,000 to provide the high effort level. The success probabilities for the project are 70% in case of high effort level and 50% in case of low effort level. The compensation package consists of the base salary, s, and the bonus, b, paid out in case of the project's success.
What should the base salary be for the worker in an optimal contract?
a.
$15,000
b.
$25,000
c.
$30,000
d.
$40,000
e.
$50,000
Chapter 3 Solutions
Statistics for Business and Economics
Ch. 3.1 - Prob. 1ECh. 3.1 - Prob. 2ECh. 3.1 - Prob. 3ECh. 3.1 - Prob. 4ECh. 3.1 - Prob. 5ECh. 3.1 - Prob. 6ECh. 3.1 - Prob. 7ECh. 3.2 - Prob. 8ECh. 3.2 - Prob. 9ECh. 3.2 - Prob. 10E
Ch. 3.2 - Prob. 11ECh. 3.2 - In a city of 180,000 people there are 20,000 legal...Ch. 3.2 - Prob. 13ECh. 3.2 - Prob. 14ECh. 3.2 - Prob. 15ECh. 3.2 - Prob. 16ECh. 3.2 - Prob. 17ECh. 3.2 - Prob. 18ECh. 3.3 - Prob. 19ECh. 3.3 - Prob. 20ECh. 3.3 - Prob. 21ECh. 3.3 - Prob. 22ECh. 3.3 - Prob. 23ECh. 3.3 - Prob. 24ECh. 3.3 - Prob. 25ECh. 3.3 - Prob. 26ECh. 3.3 - Prob. 27ECh. 3.3 - Prob. 28ECh. 3.3 - Prob. 29ECh. 3.3 - Prob. 30ECh. 3.3 - Prob. 31ECh. 3.3 - Prob. 32ECh. 3.3 - Prob. 33ECh. 3.3 - Prob. 34ECh. 3.3 - Prob. 35ECh. 3.3 - Prob. 36ECh. 3.3 - Prob. 37ECh. 3.3 - Prob. 38ECh. 3.3 - Prob. 39ECh. 3.3 - Prob. 40ECh. 3.3 - Prob. 41ECh. 3.3 - Prob. 42ECh. 3.3 - Prob. 43ECh. 3.3 - Prob. 44ECh. 3.3 - Prob. 45ECh. 3.3 - Prob. 46ECh. 3.3 - Prob. 47ECh. 3.3 - Prob. 48ECh. 3.3 - Prob. 49ECh. 3.3 - Prob. 50ECh. 3.3 - Prob. 51ECh. 3.4 - Prob. 52ECh. 3.4 - Prob. 53ECh. 3.4 - Prob. 54ECh. 3.4 - Prob. 55ECh. 3.4 - Prob. 56ECh. 3.4 - Prob. 57ECh. 3.4 - Prob. 58ECh. 3.4 - Prob. 59ECh. 3.4 - Prob. 60ECh. 3.4 - Prob. 61ECh. 3.4 - Prob. 62ECh. 3.4 - Prob. 63ECh. 3.4 - Prob. 64ECh. 3.4 - Prob. 65ECh. 3.4 - Prob. 66ECh. 3.4 - Prob. 67ECh. 3.4 - Prob. 68ECh. 3.4 - Prob. 69ECh. 3.4 - Prob. 70ECh. 3.4 - Prob. 71ECh. 3.4 - Prob. 72ECh. 3.4 - Prob. 73ECh. 3.4 - Prob. 74ECh. 3.4 - Prob. 75ECh. 3.4 - Prob. 76ECh. 3.4 - Prob. 77ECh. 3.5 - Prob. 78ECh. 3.5 - Prob. 79ECh. 3.5 - Prob. 80ECh. 3.5 - Prob. 81ECh. 3.5 - Prob. 82ECh. 3.5 - Prob. 83ECh. 3.5 - Prob. 84ECh. 3.5 - Prob. 85ECh. 3.5 - Prob. 86ECh. 3.5 - Prob. 87ECh. 3 - Prob. 88ECh. 3 - Prob. 89ECh. 3 - Prob. 90ECh. 3 - Prob. 91ECh. 3 - Prob. 92ECh. 3 - Prob. 93ECh. 3 - Prob. 94ECh. 3 - Prob. 95ECh. 3 - Prob. 96ECh. 3 - Prob. 97ECh. 3 - Prob. 98ECh. 3 - Prob. 99ECh. 3 - Prob. 100ECh. 3 - Prob. 101ECh. 3 - Prob. 102ECh. 3 - Prob. 103ECh. 3 - Prob. 104ECh. 3 - Prob. 105ECh. 3 - Prob. 106ECh. 3 - Prob. 107ECh. 3 - Prob. 108ECh. 3 - Prob. 109ECh. 3 - Prob. 110ECh. 3 - Prob. 111ECh. 3 - Prob. 112ECh. 3 - Prob. 113ECh. 3 - Prob. 114ECh. 3 - Prob. 115ECh. 3 - Prob. 116ECh. 3 - Prob. 117ECh. 3 - Prob. 118ECh. 3 - Prob. 119ECh. 3 - Prob. 120ECh. 3 - Prob. 121ECh. 3 - Prob. 122E
Knowledge Booster
Similar questions
- A software developer makes 175 phone calls to its current customers. There is an 8 percent chance of reaching a given customer (instead of a busy signal, no answer, or answering machine). The normal approximation of the probability of reaching at least 20 customers is Multiple Choice .022 .007 .063 .937arrow_forwardYour employer, an insurance company, would like to offer theft insurance for renters. The policy would pay the full replacement value of any items that were stolen from the apartment. Some apartments have security alarms installed. Such systems detect a break-in and ring an alarm within the apartment. The insurance company estimates that the probability of a theft in a year is .05 if there is no security system and .01 if there is a security system (there cannot be more than one theft in any year). An apartment with a security system costs the renter an additional $50 per year. Assume that: the dollar loss from a theft is $10,000, the insurance company is risk neutral, and the renter would be willing to pay more than the expected loss to insure against the loss of theft. What is the insurance company's break-even price for a one-year theft insurance policy for an apartment without a security system? Does a renter have an incentive to pay for a security system if he…arrow_forwardYour employer, an insurance company, would like to offer theft insurance for renters. The policy would pay the full replacement value of any items that were stolen from the apartment. Some apartments have security alarms installed. Such systems detect a break-in and ring an alarm within the apartment. The insurance company estimates that the probability of a theft in a year is .05 if there is no security system and .01 if there is a security system (there cannot be more than one theft in any year). An apartment with a security system costs the renter an additional $50 per year. Assume that: the dollar loss from a theft is $10,000, the insurance company is risk neutral, and the renter would be willing to pay more than the expected loss to insure against the loss of theft. What is the insurance company's break-even price for a one-year theft insurance policy for an apartment without a security system? Does a renter have an incentive to pay for a security system if he…arrow_forward
- Please do not give solution in image format thanku Two Manufacturers supply food to a large cafeteria. Manufacturer A supplies 40% of the soup served in the cafeteria, while Manufacturer B supplies 60% of the soup that is served. 3% of the soup cans provided by Manufacturer A are found to be dented, while 1% of the cans provided by Manufacturer B are found to be dented. Given that a can of soup is dented, find the probability that it came from Manufacturer B.arrow_forwardAnticipated consumer demand in a restaurant for free-range steaks next month can be modeled by a normal random variable with mean 1,200 pounds and standard deviation 100 pounds. a. What is the probability that demand will be between 1,100 and 1,300 pounds? Calculate in 4 decimal place. b. The probability is 0.10 that demand will be more than how many pounds?arrow_forwardAn individual has a utility function U(W)= √w. where W is the level of wealth.They have been offered a gamble with a payout of 100 with a probability of 0.31 and a payout of £35 with a probabiity of 1-031.The Certainty Equivalent of this gamble is:arrow_forward
- Speedy Oil provides a single-channel automobile oil change and lubrication service. Customers provide an arrival rate of 4 cars per hour. The service rate is 5 cars per hour. Assume that arrivals follow a Poisson probability distribution and that service times follow an exponential probability distribution. What is the average number of cars in the system? What is the average time that a car waits for the oil and lubrication service to begin? What is the probability that an arrival has to wait for service?arrow_forwardConverting to the standard normal random variable z, the probability statement P(x ≥ 43.5) is now P(z ≥ 3.90). Recall that the normal probability table gives area under the curve to the left of a given z value. Since we want the area to the right of z = 3.90 and the area under the entire curve is 1, the area to the left of z = 3.90 can be subtracted from 1. Use the table to find the probability that a student who has done their homework and attended lectures will obtain a grade of A on this test, P(z ≥ 3.90), rounding the result to four decimal places. P(z ≥ 3.90) = 1 − P(z ≤ 3.90) = 1 − =arrow_forwardThe proportion of vehicles which drive above the speed limit on a freeway is 85%. Suppose 100 vehicles are randomly clocked. 20 If each speeding vehicle is issued a $185 speeding ticket, the expected value of the ticket amount is $________. a $15,725 b $14,560 c $13,480 d $12,485arrow_forward
- Applied Machines produces large test equipment for integrated circuits. The machines are made to order, so the production rate varies from month to month. Before shipping, each machine is subject to extensive testing. Based on the tests the machine is either passed or sent back for rework. During the past 20 months the firm has had to rework the following numbers of machines: (given) Consider the example of Applied Machines presented above. Based on the estimate of the probability that a machine is sent back for rework computed from the 20 months of data, determine the following:a. If the company produces 35 machines in one particular month, how many, on average, require rework?b. Out of 100 machines produced, what is the probability that more than 20 percent of them require rework? (Use the normal approximation to the binomial for your calculations).arrow_forwardThe probability distribution for damage claims paid by the Newton Automobile Insurance Company on collision insurance is shown as follows: there is a 62% chance there won't be a claim ($0), a 11% chance of a $1000 claim, a 8% chance of a $2700 claim, and otherwise, the claim will be $9000. What is the expected value of an insurance claim for this company? (please express your answer using 2 decimal places).arrow_forwardUsing the standard normal distribution table, compute the following probabilities P(-1.5 ≤ Z ≤ 1.8) is:arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Managerial Economics: A Problem Solving ApproachEconomicsISBN:9781337106665Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike ShorPublisher:Cengage Learning
Managerial Economics: A Problem Solving Approach
Economics
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Cengage Learning