Problem
I. Sam's Burger Shack has a drive-through window with a single server who takes orders from an intercom and is the cashier. The window operator is assisted by other employees who prepare the orders. Customers arrive at the ordering station every 4.4 minutes. The window operator can process a customer in 1.2 minutes. Determine the average length of the waiting line.
II. Sam's Burger Shack has a drive-through window with a single server who takes orders from an intercom and is the cashier. The window operator is assisted by other employees who prepare the orders. Customers arrive at the ordering station every 4.3 minutes. The window operator can process a customer in 1.4 minutes. Determine the average waiting time in the line for the customers in MINUTES.
III. The One Stop Market has one pump for gasoline, which can service 10 customers per hour. Cars arrive at the pump at a rate of 3 per hour. What is the probability that there will be at least ONE car waiting to be served? Provide your answer in terms of percentage.