Customers arrive every three minutes governed by a Poisson distribution.A single server is capable of handling twenty-five customers per hour and this service time is exponentially distributed.About how long do customers wait in line?
A)a little over nine minutes
B)a little over thirteen minutes
C)exactly twenty minutes
D)exactly twenty-five minutes

Question

Quizplus · Accepted Answer

The arrival rate is 20 customers per hour (60/3), and the service rate is 25 customers per hour. Using the formula for average wait time in a queue (Wq = λ / μ(μ - λ)), where λ is the arrival rate and μ is the service rate, the wait time is a little over nine minutes.

Customers Arrive Every Three Minutes Governed by a Poisson Distribution