The reference desk of a university library receives requests for assistance

Business Aug 22, 2020

The reference desk of a university library receives requests for assistance. Assume that a Poisson probability distribution with an arrival rate of 10 requests per hour can be used to describe the arrival pattern and that service times follow an exponential probability distribution with a service rate of 12 requests per hour.
e. What is the probability that a new arrival has to wait for service?

Expert Solution

e). Computation of the probability that a new arrival has to wait for service (P):-

P = Arrival rate / Service rate

= 10 / 12

= 0.8333

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