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Determining Waiting Times

Question: McBurger's fast-food restaurant has a drive-through window with a single window with a single server who takes orders from an intercom and also is the cashier. The window operator is assisted by other employees who prepare the orders. Customers arrive at the ordering station prior to the drive-through window every 4.5 minutes (Poisson distributed), and the service time is 2.8 minutes (exponentially distributed). Determine the average length of the waiting line and the waiting time. Make a brief comment about the quality of the service.

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This solution provides a detailed, step by step solution clearly illustrating how to compute the average waiting time of customers in line. A Word file is attached which presents all of the equations required for this problem and the full calculations.