Question
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
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 three jobs per 8-hour day. The time required to complete the jobs follows a normal probability distribution, with a mean time of 2.2 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.
_________ per hour
B) What is the mean service rate in jobs per hour? If required, round your answer to four decimal places.
_________ per hour
C) What is the average number of jobs waiting for service? If required, round your answer to three decimal places.
_________ per hour
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.
_________ per hour
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.
_________ per hour
F) What percentage of the time is Gubser's welder busy?
_________ % of the time the welder is busy.
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