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 four jobs per 8-hour day. The time required to complete the jobs follows a normal probability distribution, with a mean time of 1.4 hours and a standard deviation of 1 hour. Answer the following questions, assuming that Gubser uses one welder to complete all jobs:

1. What is the mean arrival rate in jobs per hour? If required, round your answer to two decimal places. _____ per hour
2. What is the mean service rate in jobs per hour? If required, round your answer to four decimal places. _______ per hour
3. What is the average number of jobs waiting for service? If required, round your answer to three decimal places.
4. 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. _____hours
5. 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. _______ hours
6. What percentage of the time is Gubser's welder busy? % of the time the welder is busy.