The reference desk of a university library receives requests for assistance. Assume that a Poisson probability...

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Statistics

The reference desk of a university library receives requests forassistance. Assume that a Poisson probability distribution with anarrival rate of 11 requests per hour can be used to describe thearrival pattern and that service times follow an exponentialprobability distribution with a service rate of 15 requests perhour. (Round your answers to four decimal places.)
(a)
What is the probability that no requests for assistance are inthe system?
(b)
What is the average number of requests that will be waiting forservice?
(c)
What is the average waiting time (in hours) before servicebegins?
h
(d)
What is the average time (in hours) at the reference desk(waiting time plus service time)?
Â Â h
(e)
What is the probability that a new arrival has to wait forservice?

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It is given that the arrival rate follows poisson distributionwith arrival rate 11 request per hour and service time followsexponential distribution with service rate 15 request per See Answer

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