Question Details

A Florida coastal community experiences a population increase during the winter months with seasonal residents arriving from northern states and Canada. The post office counter has three work stations. The service rate of each postal clerk is 0.75 customer per minute. The anticipated arrival rate is 1.2 customers per minute. Assume that customer arrivals follow a Poisson probability distribution, with an arrival and that service times follow an exponential probability distribution. Determine the following operating characteristics for the system:

a. The probability that no customers are in the system 

b. The average number of customers waiting 

c. The average number of customers in the system 

d. The average time a customer spends waiting 

e. The average time a customer spends in the system 

f. The probability that arriving customers will have to wait for service 

g. The probability of 5 customers in the system