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The number of requests for assistance received by a towing service is a Poisson process with rate a = 4 per hour. (a) Compute the probability that exactly eleven requests are received during a particular 5-hour period. (Round your answer to three decimal places.)

The number of requests for assistance received by a towing service is a Poisson process with rate a = 4 per hour. (a) Compute the probability that exactly eleven requests are received during a particular 5-hour period. (Round your answer to three decimal places.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The text discusses a problem involving the Poisson process in the context of a towing service. --- The number of requests for assistance received by a towing service is modeled as a Poisson process with a rate of \( \alpha = 4 \) per hour. **(a)** Compute the probability that exactly eleven requests are received during a particular 5-hour period. (Round your answer to three decimal places.) *Response:* [Blank space with incorrect response indicator] **(b)** If the operators of the towing service take a 30-minute break for lunch, what is the probability that they do not miss any calls for assistance? (Round your answer to three decimal places.) *Response:* 0.135 **(c)** How many calls would you expect during their break? *Response:* 2 You may need to use the appropriate table in the Appendix of Tables to answer this question. --- Note: The image does not contain any graphs or diagrams to explain.
Transcribed Image Text:The text discusses a problem involving the Poisson process in the context of a towing service. --- The number of requests for assistance received by a towing service is modeled as a Poisson process with a rate of \( \alpha = 4 \) per hour. **(a)** Compute the probability that exactly eleven requests are received during a particular 5-hour period. (Round your answer to three decimal places.) *Response:* [Blank space with incorrect response indicator] **(b)** If the operators of the towing service take a 30-minute break for lunch, what is the probability that they do not miss any calls for assistance? (Round your answer to three decimal places.) *Response:* 0.135 **(c)** How many calls would you expect during their break? *Response:* 2 You may need to use the appropriate table in the Appendix of Tables to answer this question. --- Note: The image does not contain any graphs or diagrams to explain.
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