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The article "Should You Report That Fender-Bender"

Probability and Statistics for Engineers and the Scientists | 9th Edition | ISBN: 9780321629111 | Authors: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye ISBN: 9780321629111 32

Solution for problem 47E Chapter 3

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Probability and Statistics for Engineers and the Scientists | 9th Edition | ISBN: 9780321629111 | Authors: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Problem 47E

The article ?"Should You Report That Fender-Bender?" (Consumer Reports, Sept. 2013: 15) ?reported that 7 in 10 auto accidents involve a single vehicle (the article recommended always reporting to the insurance company an accident involving multiple vehicles). Suppose 15 accidents are randomly selected. Use Appendix Table A.1 to answer each of the following questions. a. What is the probability that at most 4 involve a single vehicle? b. What is the probability that exactly 4 involve a single vehicle? c. What is the probability that exactly 6 involve multiple vehicles? d. What is the probability that between 2 and 4, inclusive, involve a single vehicle? e. What is the probability that at least 2 involve a single vehicle? f. What is the probability that exactly 4 involve a single vehicle and the other 11 involve multiple vehicles?

Step-by-Step Solution:

Answer: Step 1 of 3 a. Here, p = 7/10 p = 0.7 n = 15 Now, the probability that at most 4 involve a single vehicle is P(X 4) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) Using Excel function “=BINOMDIST(x,n,p,false)” x P(x) 0 0.0000000143 1 0.000000502 2 0.00000820 3 0.0000829 4 0.000580575 Sum 0.00067222 Therefore, P(X 4) = 0.00067 0.001. b. Now, we need to find the probability that exactly 4 involve a single vehicle P(X = 4) = 0.000580575 0.001 Therefore, the probability that exactly 4 involve a single vehicle is 0.001. Step 2 of 3 6 15 6 c. Here, P(X = 6) = 15C 60.7) (1 0.7) = 5005 × 0.1176 × 0.000019683 = 0.01169 Therefore, the probability that exactly 6 involve multiple vehicles is 0.01169. d. Now, P(2 X 4) = P(X = 2) + P(X = 3) + P(X = 4) = 0.00000820 + 0.0000829 + 0.000580575 = 0.00067 0.001 Therefore, the probability that between 2 and 4, inclusive, involve a single vehicle is 0.001.

Step 3 of 3

Chapter 3, Problem 47E is Solved
Textbook: Probability and Statistics for Engineers and the Scientists
Edition: 9
Author: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye
ISBN: 9780321629111

Since the solution to 47E from 3 chapter was answered, more than 3405 students have viewed the full step-by-step answer. Probability and Statistics for Engineers and the Scientists was written by and is associated to the ISBN: 9780321629111. This textbook survival guide was created for the textbook: Probability and Statistics for Engineers and the Scientists, edition: 9. The answer to “The article ?"Should You Report That Fender-Bender?" (Consumer Reports, Sept. 2013: 15) ?reported that 7 in 10 auto accidents involve a single vehicle (the article recommended always reporting to the insurance company an accident involving multiple vehicles). Suppose 15 accidents are randomly selected. Use Appendix Table A.1 to answer each of the following questions. a. What is the probability that at most 4 involve a single vehicle? b. What is the probability that exactly 4 involve a single vehicle? c. What is the probability that exactly 6 involve multiple vehicles? d. What is the probability that between 2 and 4, inclusive, involve a single vehicle? e. What is the probability that at least 2 involve a single vehicle? f. What is the probability that exactly 4 involve a single vehicle and the other 11 involve multiple vehicles?” is broken down into a number of easy to follow steps, and 137 words. The full step-by-step solution to problem: 47E from chapter: 3 was answered by , our top Statistics solution expert on 05/06/17, 06:21PM. This full solution covers the following key subjects: involve, vehicle, Probability, Single, vehicles. This expansive textbook survival guide covers 18 chapters, and 1582 solutions.

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