Modern Business Statistics with Microsoft Excel (MindTap Course List)
5th Edition
ISBN: 9781285433301
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams
Publisher: Cengage Learning
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Chapter 6, Problem 46SE
The time (in minutes) between telephone calls at an insurance claims office has the following exponential
- a. What is the
mean time between telephone calls? - b. What is the probability of having 30 seconds or less between telephone calls?
- c. what is the probability of having 1 minute or less between telephone calls?
- d. what is the probability of having 5 or more minutes without a telephone call?
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30. An individual who has automobile insurance from a certain company is randomly selected. Let Y be the num- ber of moving violations for which the individual was cited during the last 3 years. The pmf of Y isy | 1 2 4 8 16p(y) | .05 .10 .35 .40 .10
a.Compute E(Y).b. Suppose an individual with Y violations incurs a surcharge of $100Y^2. Calculate the expected amount of the surcharge.
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).
Chapter 6 Solutions
Modern Business Statistics with Microsoft Excel (MindTap Course List)
Ch. 6.1 - The random variable x is known to be uniformly...Ch. 6.1 - The random variable x is known to be uniformly...Ch. 6.1 - Cincinnati to Tampa Flight Time. Delta Airlines...Ch. 6.1 - Prob. 4ECh. 6.1 - 5. In October 2012, Apple introduced a much...Ch. 6.1 - 6. A Gallup Daily Tracking Survey found that the...Ch. 6.1 - 7. Suppose we are interested in bidding on a piece...Ch. 6.2 - Using Figure 6.4 as a guide, sketch a normal curve...Ch. 6.2 - A random variable is normally distributed with a...Ch. 6.2 - 10. Draw a graph for the standard normal...
Ch. 6.2 - 11. Given that z is a standard normal random...Ch. 6.2 - 12. Given that z is a standard normal random...Ch. 6.2 - 13. Given that z is a standard normal random...Ch. 6.2 - Prob. 14ECh. 6.2 - Given that z is a standard normal random variable,...Ch. 6.2 - Given that z is a standard normal random variable,...Ch. 6.2 - The mean cost of domestic airfares in the United...Ch. 6.2 - The average return for large-cap domestic stock...Ch. 6.2 - Prob. 19ECh. 6.2 - Gasoline Prices. Suppose that the average price...Ch. 6.2 - Mensa Membership. A person must score in the upper...Ch. 6.2 - Television Viewing. Suppose that the mean daily...Ch. 6.2 - Time to Complete Final Exam. The time needed to...Ch. 6.2 - Labor Day Travel Costs. The American Automobile...Ch. 6.2 - New York City is the most expensive city in the...Ch. 6.3 - 32. Consider the following exponential probability...Ch. 6.3 - Prob. 27ECh. 6.3 - 34. Battery life between charges for the Motorola...Ch. 6.3 - 35. The time between arrivals of vehicles at a...Ch. 6.3 - 36. Comcast Corporation is the largest cable...Ch. 6.3 - Collinas Italian Caf in Houston, Texas, advertises...Ch. 6.3 - 38. The Boston Fire Department receives 911 calls...Ch. 6 - 39. A business executive, transferred from Chicago...Ch. 6 - NCAA Scholarships. The NCAA estimates that the...Ch. 6 - Production Defects. Motorola used the normal...Ch. 6 - During early 2012, economic hardship was...Ch. 6 - The port of South Louisiana, located along 54...Ch. 6 - Service Contract Offer. Ward Doering Auto Sales is...Ch. 6 - Prob. 39SECh. 6 - College Admissions Test Scores. Assume that the...Ch. 6 - According to Salary Wizard, the average base...Ch. 6 - 48. A machine fills containers with a particular...Ch. 6 - Prob. 43SECh. 6 - Prob. 44SECh. 6 - Prob. 45SECh. 6 - 54. The time (in minutes) between telephone calls...
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