Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)
Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)
6th Edition
ISBN: 9781337115186
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Publisher: Cengage Learning
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Chapter 5.4, Problem 25E

Given below is a bivariate distribution for the random variables x and y.

f(x, y) x y
.2 50 80
.5 30 50
.3 40 60
  1. a. Compute the expected value and the variance for x and y.
  2. b. Develop a probability distribution for x + y.
  3. c. Using the result of part (b), compute E(x + y) and Var (x + y).
  4. d. Compute the covariance and correlation for x and y. Are x and y positively related, negatively related, or unrelated?
  5. e. Is the variance of the sum of x and y bigger, smaller, or the same as the sum of the individual variances? Why?
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Chapter 5 Solutions

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

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 - 17. During the summer of 2014, Coldstream Country...Ch. 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 - 37. According to a 2013 study by the Pew Research...Ch. 5.5 - 38. Military radar and missile detection systems...Ch. 5.5 - 39. Market-share-analysis company Net Applications...Ch. 5.5 - 42. A Gallup Poll showed that 30% of Americans are...Ch. 5.5 - Tracked Emails. According to a 2017 Wired magazine...Ch. 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 - Prob. 48ECh. 5.6 - 49. Airline passengers arrive randomly and...Ch. 5.6 - 50. According to the National Oceanic and...Ch. 5.6 - 51. Over 500 million tweets are sent per day...Ch. 5.7 - 52. Suppose N = 10 and r = 3. Compute the...Ch. 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 - Suppose that a shipment of 100 boxes of apples...Ch. 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 - 64. The Pew Research Center surveyed adults who...Ch. 5 - 65. The following table shows the percentage of...Ch. 5 - Prob. 66SECh. 5 - 67. PBS News Hour reported that 39.4% of Americans...Ch. 5 - Prob. 68SECh. 5 - Arrivals to a Car Wash. Cars arrive at a car wash...Ch. 5 - Prob. 70SECh. 5 - Prob. 71SECh. 5 - Prob. 72SECh. 5 - Great Grasslands Grains, Inc. (GGG) manufactures...Ch. 5 - Harriet McNeil, proprietor of McNeil’s Auto Mall,...Ch. 5 - Grievance Committee at Tuglar Corporation Several...Ch. 5 - Sagittarius Casino The Sagittarius Casino’s...
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