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At a fashion retailer, there are three cashiers providing checkout service to customers simultaneously. On average,...

At a fashion retailer, there are three cashiers providing checkout service to customers simultaneously. On average, customers arrive at the checkout area every 6 minutes. The standard deviation of the inter-arrival time is 6 minutes. The average checkout time for each customer is 12 minutes, with its standard deviation equal to 16 minutes. Suppose that customers form a single line. What is the average waiting time in minutes for a customer? Keep 2 decimal places for your answer.

Math   Statistics-And-Probability   
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TThis is the problem of multi server waitning line model in which customers form a single line and are served by the first server available. The model assumes that there are s identical servers, the service time distribution for each server is exponential, and the mean service time is 1/u. Using these assumptions, we can describe the operating characteristics with the following formulas

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