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In a Bank Drive-Through, There Is a Single Service Window

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In a bank drive-through, there is a single service window and room only for two cars to line-up to wait for service. The mean time between arrivals for drive through customers is 5 minutes. The mean time to complete a customer transaction is 3 minutes. The number of arrivals is distributed according to a Poisson distribution and the service times are exponentially distributed.
-What is the average time a customer spends in the system?


Definitions:

Manufacturer's Markup Percent

The percentage added to the cost of goods by manufacturers to determine the selling price.

Laser Printers

Laser printers are printing devices that use a laser beam to produce text and images on paper, known for their speed and high-quality printouts.

Markup Percent

A percentage added to the cost price of goods to cover overhead and profit, determining the selling price.

Trade Discount

A deduction from the list price of goods or services provided by a seller to a buyer, usually based on the volume of transaction or to maintain a strategic partnership.

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