EBK MODERN BUSINESS STATISTICS WITH MIC
5th Edition
ISBN: 9780100475038
Author: williams
Publisher: YUZU
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Textbook Question
Chapter 5.4, Problem 28E
PortaCom has developed a design for a high-quality portable printer. The two key components of manufacturing cost are direct labor and parts. During a testing period, the company has developed prototypes and conducted extensive product tests with the new printer. PortaCom’s engineers have developed the bivariate probability distribution shown below for the manufacturing costs. Parts cost (in dollars) per printer is represented by the random variable x and direct labor cost (in dollars) per printer is represented by the random variable y. Management would like to use this probability distribution to estimate manufacturing costs.
Parts (x) | Direct Labor (y) 43 45 48 |
Total | ||
85 | 0.05 | 0.2 | 0.2 | 0.45 |
95 | 0.25 | 0.2 | 0.1 | 0.55 |
Total | 0.30 | 0.4 | 0.3 | 1.00 |
- a. Show the marginal distribution of direct labor cost and compute its expected value, variance, and standard deviation.
- b. Show the marginal distribution of parts cost and compute its expected value, variance, and standard deviation.
- c. Total manufacturing cost per unit is the sum of direct labor cost and parts cost. Show the probability distribution for total manufacturing cost per unit.
- d. Compute the expected value, variance, and standard deviation of total manufacturing cost per unit.
- e. Are direct labor and parts costs independent? Why or why not? If you conclude that they are not, what is the relationship between direct labor and parts cost?
- f. PortaCom produced 1500 printers for its product introduction. The total manufacturing cost was $198,350. Is that about what you would expect? If it is higher or lower, what do you think may have caused it?
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Chapter 5 Solutions
EBK MODERN BUSINESS STATISTICS WITH MIC
Ch. 5.1 - 1. Consider the experiment of tossing a coin...Ch. 5.1 - 2. Consider the experiment of a worker assembling...Ch. 5.1 - 3. Three students scheduled interviews for summer...Ch. 5.1 - Prob. 4ECh. 5.1 - 5. To perform a certain type of blood analysis,...Ch. 5.1 - 6. Listed is a series of experiments and...Ch. 5.2 - 7. The probability distribution for the random...Ch. 5.2 - 8. The following data were collected by counting...Ch. 5.2 - Prob. 9ECh. 5.2 - 10. The percent frequency distributions of job...
Ch. 5.2 - 11. A technician services mailing machines at...Ch. 5.2 - 12. Time Warner Cable provides television and...Ch. 5.2 - 13. A psychologist determined that the number of...Ch. 5.2 - Prob. 14ECh. 5.3 - 15. The following table provides a probability...Ch. 5.3 - 16. The following table provides a probability...Ch. 5.3 - Prob. 17ECh. 5.3 - 18. The American Housing Survey reported the...Ch. 5.3 - 19. West Virginia has one of the highest divorce...Ch. 5.3 - 20. The probability distribution for damage claims...Ch. 5.3 - 21. The following probability distributions of job...Ch. 5.3 - 22. The demand for a product of Carolina...Ch. 5.3 - 23. In Gallup’s Annual Consumption Habits Poll,...Ch. 5.3 - Prob. 24ECh. 5.4 - 25. Given below is a bivariate distribution for...Ch. 5.4 - 26. A person is interested in constructing a...Ch. 5.4 - 27. The Chamber of Commerce in a Canadian city has...Ch. 5.4 - 28. PortaCom has developed a design for a...Ch. 5.4 - 29. J.P. Morgan Asset Management publishes...Ch. 5.4 - 30. In addition to the information in exercise 29...Ch. 5.5 - 31. Consider a binomial experiment with two trials...Ch. 5.5 - Prob. 32ECh. 5.5 - 33. Consider a binomial experiment with n = 20 and...Ch. 5.5 - 34. For its Music 360 survey, Nielsen Co. asked...Ch. 5.5 - 35. The Center for Medicare and Medical Services...Ch. 5.5 - 36. When a new machine is functioning properly,...Ch. 5.5 - Prob. 37ECh. 5.5 - 38. Military radar and missile detection systems...Ch. 5.5 - Twelve of the top 20 finishers in the 2009 PGA...Ch. 5.5 - 42. A Gallup Poll showed that 30% of Americans are...Ch. 5.5 - Prob. 43ECh. 5.6 - 44. Consider a Poisson distribution with μ =...Ch. 5.6 - 45. Consider a Poisson distribution with a mean of...Ch. 5.6 - 46. Phone calls arrive at the rate of 48 per hour...Ch. 5.6 - 47. During the period of time that a local...Ch. 5.6 - In 2011, New York City had a total of 11,232 motor...Ch. 5.6 - 49. Airline passengers arrive randomly and...Ch. 5.6 - 50. According to the National Oceanic and...Ch. 5.6 - The National Safety Council (NSC) estimates that...Ch. 5.7 - Prob. 52ECh. 5.7 - Prob. 53ECh. 5.7 - 54. A recent survey showed that a majority of...Ch. 5.7 - 55. Blackjack, or twenty-one as it is frequently...Ch. 5.7 - 56. Axline Computers manufactures personal...Ch. 5.7 - 57. The Zagat Restaurant Survey provides food,...Ch. 5.7 - Prob. 58ECh. 5 - 59. The U.S. Coast Guard (USCG) provides a wide...Ch. 5 - 60. The Car Repair Ratings website provides...Ch. 5 - 61. The budgeting process for a midwestern college...Ch. 5 - 62. A bookstore at the Hartsfield-Jackson Airport...Ch. 5 - 63. The Knowles/Armitage (KA) group at Merrill...Ch. 5 - Prob. 64SECh. 5 - 65. The following table shows the percentage of...Ch. 5 - Prob. 66SECh. 5 - Prob. 67SECh. 5 - Prob. 68SECh. 5 - Arrivals to a Car Wash. Cars arrive at a car wash...Ch. 5 - Prob. 70SECh. 5 - Prob. 71SECh. 5 - Prob. 72SE
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