Statistics for Business and Economics (13th Edition)
Statistics for Business and Economics (13th Edition)
13th Edition
ISBN: 9780134506593
Author: James T. McClave, P. George Benson, Terry Sincich
Publisher: PEARSON
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Chapter 3.7, Problem 3.88ACB

Errors in estimating job costs. A construction company employs three sales engineers. Engineers 1, 2, and 3 estimate the costs of 30%, 20%, and 50%, respectively, of all jobs bid by the company. For·i = 1, 2, 3, define Ei to be the event that a job is estimated by engineer i. The following probabilities describe the rates at which the engineers make serious errors in estimating costs:

P(error |E1| = .01, P(error) E2 ) = .03, and

P(error|E3) = .02

  1. a. If a particular bid results in a serious error in estimating job cost, what is the probability that the error was made by engineer 1?
  2. b. If a particular bid results in a serious error in estimating job cost, what is the probability that the error was made by engineer 2?
  3. c. If a particular bid results in a serious error in estimating job cost, what is the probability that the error was made by engineer 3?
  4. d. Based on the probabilities, parts a-c, which engineer is most likely responsible for making the serious error?
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Chapter 3 Solutions

Statistics for Business and Economics (13th Edition)

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Hillsborough County...Ch. 3.1 - Odds of winning a race. Handicappers for greyhound...Ch. 3.1 - Lead bullets as forensic evidence. Chance (Summer...Ch. 3.1 - Making your vote count. Democratic and Republican...Ch. 3.4 - Suppose P (A) = A, P(B) = 7, and P (A B) = 3....Ch. 3.4 - A fair coin is tossed three times, and the events...Ch. 3.4 - A pair of fair dice is tossed. Define the...Ch. 3.4 - Consider the Venn diagram below, where P(E1) =...Ch. 3.4 - Consider the Venn diagram in the next column,...Ch. 3.4 - Prob. 3.35LMCh. 3.4 - Prob. 3.36LMCh. 3.4 - Use the applets Simulating the Probability of...Ch. 3.4 - Prob. 3.4AECh. 3.4 - Do social robots walk or roll? Refer to the...Ch. 3.4 - Firefighter glove sizing. Human Factors (December...Ch. 3.4 - Study of analysts' forecasts. The Journal of...Ch. 3.4 - Problems at major companies The Organization...Ch. 3.4 - Scanning errors at Walmart. 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(109) c....Ch. 3 - Management system failures. Refer to the Process...Ch. 3 - Workers unscheduled absence survey. Each year CCH,...Ch. 3 - Ownership of small businesses. According to the...Ch. 3 - Condition of public school facilities. The...Ch. 3 - New car crash tests. Refer to the National Highway...Ch. 3 - Speeding linked to fatal car crashes. According to...Ch. 3 - Choosing portable grill displays. Consider a study...Ch. 3 - Inactive oil and gas structures. U.S. federal...Ch. 3 - Is a product green? A green product (e.g., a...Ch. 3 - Monitoring quality of power equipment. Mechanical...Ch. 3 - Appeals of federal civil trials. The Journal of...Ch. 3 - Characteristics of a new product. The long-run...Ch. 3 - Testing a watch manufacturers claim. A...Ch. 3 - Ranking razor blades. The corporations in the...Ch. 3 - Reliability of gas station air gauges. Tire and...Ch. 3 - Which events are independent? Use your intuitive...Ch. 3 - Home modifications for wheelchair users. 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