Essentials of Statistics for Business and Economics
9th Edition
ISBN: 9780357118191
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams
Publisher: Cengage Learning US
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Chapter 5.7, Problem 58E
a.
To determine
Find and interpret the value
b.
To determine
Find and interpret the value
c.
To determine
Compute the probability
Obtain the probability distribution for the random variable x and to identify the highest probability.
d.
To determine
Compute the probability that at least one bank have increased lending.
e.
To determine
Compute the
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24. An insurance company offers its policyholders a num- ber of different premium payment options. For a ran- domly selected policyholder, let X = the number of months between successive payments. The cdf of X is as follows:
F(x)=0.00 : x < 10.30 : 1≤x<30.40 : 3≤ x < 40.45 : 4≤ x <60.60 : 6≤ x < 121.00 : 12≤ x
a. What is the pmf of X?b. Using just the cdf, compute P(3≤ X ≤6) and P(4≤ X).
59. At a certain gas station, 40% of the customers use regular gas (A1), 35% use plus gas (A2), and 25% use premium (A3). Of those customers using regular gas, only 30% fill their tanks (event B). Of those customers using plus, 60% fill their tanks, whereas of those using premium, 50% fill their tanks.a. What is the probability that the next customer will request plus gas and fill the tank (A2 B)?b. What is the probability that the next customer fills the tank?c. If the next customer fills the tank, what is the probability that regular gas is requested? Plus? Premium?
38. Possible values of X, the number of components in a system submitted for repair that must be replaced, are 1, 2, 3, and 4 with corresponding probabilities .15, .35, .35, and .15, respectively.
a. Calculate E(X) and then E(5 - X).b. Would the repair facility be better off charging a flat fee of $75 or else the amount $[150/(5 - X)]?
[Note: It is not generally true that E(c/Y) = c/E(Y).]
Chapter 5 Solutions
Essentials of Statistics for Business and Economics
Ch. 5.1 - Consider the experiment of tossing a coin twice....Ch. 5.1 - Consider the experiment of a worker assembling a...Ch. 5.1 - 3. Three students scheduled interviews for summer...Ch. 5.1 - In January the U.S. unemployment rate dropped to...Ch. 5.1 - To perform a certain type of blood analysis, lab...Ch. 5.1 - Listed is a series of experiments and associated...Ch. 5.2 - 7. The probability distribution for the random...Ch. 5.2 - 8. The following data were collected by counting...Ch. 5.2 - For unemployed persons in the United States, the...Ch. 5.2 - The percent frequency distributions of job...
Ch. 5.2 - A technician services mailing machines at...Ch. 5.2 - New Cable Subscribers. Spectrum provides cable...Ch. 5.2 - A psychologist determined that the number of...Ch. 5.2 - 14. The following table is a partial probability...Ch. 5.3 - The following table provides a probability...Ch. 5.3 - The following table provides a probability...Ch. 5.3 - Golf Scores. During the summer of 2018, Coldstream...Ch. 5.3 - 18. The American Housing Survey reported the...Ch. 5.3 - New Tax Accounting Clients. New legislation passed...Ch. 5.3 - The probability distribution for damage claims...Ch. 5.3 - 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 - 24. The J. R. Ryland Computer Company is...Ch. 5.4 - Given below is a bivariate distribution for the...Ch. 5.4 - A person is interested in constructing a...Ch. 5.4 - The Chamber of Commerce in a Canadian city has...Ch. 5.4 - PortaCom has developed a design for a high-quality...Ch. 5.4 - J.P. Morgan Asset Management publishes information...Ch. 5.4 - In addition to the information in exercise 29 on...Ch. 5.5 - Consider a binomial experiment with two trials and...Ch. 5.5 - 32. Consider a binomial experiment with n = 10 and...Ch. 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 - The Center for Medicare and Medical Services...Ch. 5.5 - 36. When a new machine is functioning properly,...Ch. 5.5 - Americans Saving for Retirement. According to a...Ch. 5.5 - Military radar and missile detection systems are...Ch. 5.5 - 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 - 911 Calls. Emergency 911 calls to a small...Ch. 5.6 - Motor Vehicle Accidents in New York City. In a...Ch. 5.6 - Airline passengers arrive randomly and...Ch. 5.6 - According to the National Oceanic and Atmospheric...Ch. 5.6 - Emails Received. According to a 2017 survey...Ch. 5.7 - Suppose N = 10 and r = 3. Compute the...Ch. 5.7 - 53. Suppose N = 15 and r = 4. What is the...Ch. 5.7 - Online Holiday Shopping. More and more shoppers...Ch. 5.7 - Prob. 55ECh. 5.7 - 56. Axline Computers manufactures personal...Ch. 5.7 - The Zagat Restaurant Survey provides food, decor,...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 - The Knowles/Armitage (KA) group at Merrill Lynch...Ch. 5 - 64. The Pew Research Center surveyed adults who...Ch. 5 - Investing in the Stock Market. According to a 2017...Ch. 5 - Many companies use a quality control technique...Ch. 5 - 67. PBS News Hour reported that 39.4% of Americans...Ch. 5 - 68. Mahoney Custom Home Builders, Inc. of Canyon...Ch. 5 - Arrivals to a Car Wash. Cars arrive at a car wash...Ch. 5 - 70. A new automated production process averages...Ch. 5 - A regional director responsible for business...Ch. 5 - Customer arrivals at a bank are random and...Ch. 5 - 73. A deck of playing cards contains 52 cards,...Ch. 5 - 74. U.S. News & World Report’s ranking of...Ch. 5 - Great Grasslands Grains, Inc. (GGG) manufactures...Ch. 5 - Harriet McNeil, proprietor of McNeil’s Auto Mall,...Ch. 5 - Several years ago, management at Tuglar...
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