The new-accounts officer at the Bank enrolls all new customers in checking accounts. During the three-week period in August encompassing the beginning of the new school year at UTT, the bank opens many new accounts for students. The bank estimates that the arrival rate during this period will be Poisson distributed with an average of five (5) customers per hour. The service time is exponentially distributed with an average of 15 minutes per customer to set up a new account. The bank wants to determine the operating characteristics for this system to determine if the current person is sufficient to handle the increased traffic.

What is the probability of no customers in the system?

What is the average number of customers waiting in the bank?

What is the average time the customer spends in the bank?

What is the average number of customers waiting in the line?

What is the average time that a customer spends in the line?

Is the number of tellers sufficient to handle the increase traffic?