A bank teller, on an average, could process 90 customers during a 6 hour shift, if she was busy all the time. On average, a customer arrives at her station every 6 minutes. Assume it is a single-server waiting line system.
1. Determine the mean arrival rate, the mean service rate and utilization factor of the teller.
2. Determine the probability that a customer will have an empty queue
3. Determine the probability that there will be 2 customers in the queue
4. Determine the average number of customers in the queue and the average number of entrants in the system
5. Determine the average waiting time in the queue and the average total time in the system for a customer.