Problem:
You are planning a bank, You plan for six tellers. Tellers take 15 minutes per customer with a standard deviation of 7 minutes. Customers arrive one every three minutes according to an exponential distribution (recall that the standard deviation is equal to the mean). Every customer that arrives eventually gets serviced.
Required:
Question 1) On average, how many customers would be waiting in line?
Question 2) On average, how long would a customer spend in the bank?
Question 3) If a customer arrived, saw the line, and decided not to get in line, that customer has ________?
Question 4) A customer who enters the line but decides to leave the line before getting service is said to have _________? Solve the problem and show all work.