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.
a. What is the probability that no requests for assistance are in the system?

Expert Solution

a). Computation of the probability that no requests for assistance are in the system:-

Probability (P₀) = 1 - (Arrival rate / Service rate)

= 1 - (10 / 12)

= 1 - 0.8333

= 0.1667

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