Applied Statistics and Probability for Engineers
6th Edition
ISBN: 9781118539712
Author: Douglas C. Montgomery
Publisher: WILEY
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Chapter 13.2, Problem 6E
a.
To determine
Check whether
b.
To determine
Check whether the residuals indicate any problem with the underlying assumption.
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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 13 Solutions
Applied Statistics and Probability for Engineers
Ch. 13.2 - 13-1. Consider the following computer output.
(a)...Ch. 13.2 - 13-2. Consider the following computer output for...Ch. 13.2 - Prob. 3ECh. 13.2 - 13-4. An article in Nature describes an experiment...Ch. 13.2 - 13-5. In Design and Analysis of Experiments, 8th...Ch. 13.2 - 13-6. In “Orthogonal Design for Process...Ch. 13.2 - 13-7. The compressive strength of concrete is...Ch. 13.2 - Prob. 8ECh. 13.2 - Prob. 9ECh. 13.2 - 13-10. An article in Environment International...
Ch. 13.2 - Prob. 11ECh. 13.2 - Prob. 12ECh. 13.2 - Prob. 13ECh. 13.2 - Prob. 14ECh. 13.2 - Prob. 15ECh. 13.2 - Prob. 16ECh. 13.2 - 13-17 An experiment was run to determine whether...Ch. 13.2 - Prob. 18ECh. 13.2 - Prob. 19ECh. 13.2 - Prob. 20ECh. 13.2 - Prob. 21ECh. 13.2 - Prob. 22ECh. 13.2 - Prob. 23ECh. 13.2 - For each of the following exercises, use the...Ch. 13.2 - Prob. 25ECh. 13.2 - Prob. 26ECh. 13.2 - Prob. 27ECh. 13.2 - Prob. 28ECh. 13.2 - Prob. 29ECh. 13.2 - 13-30. Suppose that four normal populations have...Ch. 13.2 - Prob. 31ECh. 13.2 - Prob. 32ECh. 13.2 - Prob. 33ECh. 13.3 - 13-34. An article in the Journal of the...Ch. 13.3 - Prob. 35ECh. 13.3 - Prob. 36ECh. 13.3 - 13-37. An article in the Journal of Quality...Ch. 13.3 - 13-38. Consider the vapor-deposition experiment...Ch. 13.3 - Prob. 39ECh. 13.3 - 13-40. Reconsider Exercise 13-8 in which the...Ch. 13.3 - Prob. 41ECh. 13.4 - 13-42. Consider the following computer output from...Ch. 13.4 - 13-43. Consider the following computer output from...Ch. 13.4 - Prob. 44ECh. 13.4 - 13-45. Reconsider the experiment of Exercise 13-5....Ch. 13.4 - 13-46. An article in Quality Engineering...Ch. 13.4 - 13-47. In “The Effect of Nozzle Design on the...Ch. 13.4 - 13-48. In Design and Analysis of Experiments, 8th...Ch. 13.4 - Prob. 49ECh. 13.4 - 13-50. An article in the Food Technology Journal...Ch. 13.4 - 13-51. An experiment was conducted to investigate...Ch. 13 - Prob. 52SECh. 13 - 13-53. Consider the following computer...Ch. 13 - 13-54. An article in Lubrication Engineering...Ch. 13 - 13-55. An article in the IEEE Transactions on...Ch. 13 - Prob. 56SECh. 13 - Prob. 57SECh. 13 - Prob. 58SECh. 13 - Prob. 59SECh. 13 - Prob. 60SECh. 13 - Prob. 61SECh. 13 - Prob. 62SECh. 13 - Prob. 63SECh. 13 - Prob. 64SECh. 13 - Prob. 65SECh. 13 - Prob. 66SECh. 13 - Prob. 67SECh. 13 - 13-68. Consider testing the equality of the means...Ch. 13 - Prob. 69SECh. 13 - Prob. 70SECh. 13 - 13-72. Consider the single-factor completely...Ch. 13 - 13-73. Consider the single-factor completely...Ch. 13 - Prob. 74SECh. 13 - Prob. 75SECh. 13 - Prob. 76SECh. 13 - Prob. 77SE
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- 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?arrow_forward38. 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).]arrow_forward74. The proportions of blood phenotypes in the U.S. popula- tion are as follows:A B AB O .40 .11 .04 .45 Assuming that the phenotypes of two randomly selected individuals are independent of one another, what is the probability that both phenotypes are O? What is the probability that the phenotypes of two randomly selected individuals match?arrow_forward
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