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The number of requests for assistance received by a towing

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 87E 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 87E

The number of requests for assistance received by a towing service is a Poisson process with ? = 4 rate per hour. a. ?Compute the probability that exactly ten requests are received during a particular 2-hour period. b. ?If the operators of the towing service take a 30-min break for lunch, what is the probability that they do not miss any calls for assistance? c.? ?How many calls would you expect during their break?

Step-by-Step Solution:

Answer : Step 1 of 3 : Given, The number of requests for assistance received by a towing service is a Poisson process with = 4 rate per hour. a) The claim is to compute the probability that exactly ten requests are received during a particular 2-hour period. Let X be the number of requests are received during a particular 2-hour period. x Therefore, P(X = 10) = e x! Where, = 2 = 2×4 = 8 e8810 P(X = 10) = 10! = 0.09926 Therefore, the probability that exactly ten requests are received during a particular 2-hour period is 0.09926 Step 2 of 3 : b) If the operators of the towing service take a 30-min break for lunch. The claim is to find the probability that they do not miss any calls for assistance. Let Y be the number of requests received when the operators of the towing service take a 30-min break for lunch e x Therefore, P(Y = 0) = x! Where, = /2 = 2 2 0 P(Y = 0) = e 0! = 0.1353 0.1353 be the probability that they do not miss any calls for assistance

Step 3 of 3

Chapter 3, Problem 87E 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

The answer to “The number of requests for assistance received by a towing service is a Poisson process with ? = 4 rate per hour. a. ?Compute the probability that exactly ten requests are received during a particular 2-hour period. b. ?If the operators of the towing service take a 30-min break for lunch, what is the probability that they do not miss any calls for assistance? c.? ?How many calls would you expect during their break?” is broken down into a number of easy to follow steps, and 74 words. The full step-by-step solution to problem: 87E from chapter: 3 was answered by , our top Statistics solution expert on 05/06/17, 06:21PM. This textbook survival guide was created for the textbook: Probability and Statistics for Engineers and the Scientists, edition: 9. Probability and Statistics for Engineers and the Scientists was written by and is associated to the ISBN: 9780321629111. Since the solution to 87E from 3 chapter was answered, more than 441 students have viewed the full step-by-step answer. This full solution covers the following key subjects: towing, assistance, break, calls, service. This expansive textbook survival guide covers 18 chapters, and 1582 solutions.

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The number of requests for assistance received by a towing

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