Question: 05

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.

1. What is the probability that no requests for assistance are in the system? If required, round your answer to four decimal places.
   
   P ₀ =
2. What is the average number of requests that will be waiting for service? If required, round your answer to four decimal places.
   
   L _q =
3. What is the average waiting time in minutes before service begins? If required, round your answer to nearest whole number.
   
   W _q = min
4. What is the average time at the reference desk in minutes (waiting time plus service time)? If required, round your answer to nearest whole number.

Price: $2.99

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