The reference desk of a university library receives requests forassistance. Assume that a Poisson probability distribution with anarrival rate of 8 requests per hour can be used to describe thearrival pattern and that service times follow an exponentialprobability distribution with a service rate of 11 requests perhour.
- What is the probability that no requests for assistance are inthe system? If required, round your answer to four decimalplaces.
P0 = ??
- What is the average number of requests that will be waiting forservice? If required, round your answer to four decimalplaces.
Lq = ??
- What is the average waiting time in minutes before servicebegins? If required, round your answer to nearest wholenumber.
Wq = ?? min
- What is the average time at the reference desk in minutes(waiting time plus service time)? If required, round your answer tonearest whole number.
W = ??min
- What is the probability that a new arrival has to wait forservice? If required, round your answer to four decimalplaces.
Pw = ??
