A service counter employs one server who can serve 23 customers per hour. Customers arrive at the counter at the rate of 17 per hour. Both service rate and arrival rate follow a Poisson distribution.

How much time, in minutes, does a customer, on average, spend in the system? Round your answer to one decimal.

USE THE FORMULAS GIVEN

A service counter employs one server who can serve 23 customers per hour. Customers arrive at the counter at the nate of 17 per boor. Both semice rater and armal rute folline a Puinus distribution. How mush time, in minufes, does is custuener, on aversye, spend in the sysem? Round your answer to one decimal Queuing Models: Infinite-Source Basic Relationships - Server Utilization: proportion of time a server will be busy - Average \# of customers being served at any point in time - Average \# of customers in queue waiting for service: Lq =M r= Average \# of customers waiting in the system - Average length of time customers wait in line Ls=Lq+ Wq=Lq Average length of time customers wait in system Ws=Wq+1=Ls For every Model, use model-specific formulas in addition to basic formulas Queuing Models: Infinite-Source Single Server, Exponential Service Time Model-specific formulas - Probability that service facility is idle (0 units in the system) P0=1/ - Probability of n units in the system Pn=(/)nP0 - Average number of units waiting for service Lq=()2