Problem 15-27 (Algorithmic) Gubser Welding, Inc., operates a welding service for construction and automotive repair jobs. Assume that the arrival of jobs at the company's office can be described by a Poisson probability distribution with an arrival rate of five jobs per 8-hour da The time required to complete the jobs follows a normal probability distribution, with a mean time of 1.3 hours and a standard deviation of 1 hour. Answer the following questions, assuming that Gubser uses one welder to complete all jobs: a. What is the mean arrival rate in jobs per hour? If required, round your answer to two decimal places. .63 ✔per hour b. What is the mean service rate in jobs per hour? If required, round your answer to four decimal places. .7692✔ per hour c. What is the average number of jobs waiting for service? If required, round your answer to three decimal places. 6.718 X d. What is the average time a job waits before the welder can begin working on it? If required, round your answer to one decimal place. X hours e. What is the average number of hours between when a job is received and when it is completed? If required, round your answer to one decimal place. X hours f. What percentage of the time is Gubser's welder busy? X % of the time the welder is busy.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Problem 15-27 (Algorithmic)
Gubser Welding, Inc., operates a welding service for construction and automotive repair jobs. Assume that the arrival of jobs at the company's office can be described by a Poisson probability distribution with an arrival rate of five jobs per 8-hour day.
The time required to complete the jobs follows a normal probability distribution, with a mean time of 1.3 hours and a standard deviation of 1 hour. Answer the following questions, assuming that Gubser uses one welder to complete all jobs:
a. What is the mean arrival rate in jobs per hour? If required, round your answer to two decimal places.
.63 ✓ per hour
b. What is the mean service rate in jobs per hour? If required, round your answer to four decimal places.
.7692 ✓ per hour
c. What is the average number of jobs waiting for service? If required, round your answer to three decimal places.
6.718 X
d. What is the average time a job waits before the welder can begin working on it? If required, round your answer to one decimal place.
X hours
e. What is the average number of hours between when a job is received and when it is completed? If required, round your answer to one decimal place.
X hours
f. What percentage of the time is Gubser's welder busy?
X % of the time the welder is busy.
Transcribed Image Text:BE eBook Problem 15-27 (Algorithmic) Gubser Welding, Inc., operates a welding service for construction and automotive repair jobs. Assume that the arrival of jobs at the company's office can be described by a Poisson probability distribution with an arrival rate of five jobs per 8-hour day. The time required to complete the jobs follows a normal probability distribution, with a mean time of 1.3 hours and a standard deviation of 1 hour. Answer the following questions, assuming that Gubser uses one welder to complete all jobs: a. What is the mean arrival rate in jobs per hour? If required, round your answer to two decimal places. .63 ✓ per hour b. What is the mean service rate in jobs per hour? If required, round your answer to four decimal places. .7692 ✓ per hour c. What is the average number of jobs waiting for service? If required, round your answer to three decimal places. 6.718 X d. What is the average time a job waits before the welder can begin working on it? If required, round your answer to one decimal place. X hours e. What is the average number of hours between when a job is received and when it is completed? If required, round your answer to one decimal place. X hours f. What percentage of the time is Gubser's welder busy? X % of the time the welder is busy.
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