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 two jobs per 8-hour day. The time required to complete the jobs follows a normal probability distribution with a mean time of 3.2 hours per job and a standard deviation of 2 hours. Answer the following questions, assuming that Gubser uses one welder to complete all jobs.
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 two jobs per 8-hour day. The time required to complete the jobs follows a
a. What is the average number of jobs waiting for service?
b. What is the average time a job waits before the welder can begin working on it?
c. What is the average number of hours between when a job is received and when it is completed?
d. What percentage of the time is Gubser’s welder busy?
choices:
a. 89/10
b. 4/5
c. 121/10
d. 89/40
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