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At a fashion retailer, there are 3 cashiers providing checkout service simultaneously. On average,
customers arrive at the checkout area every 6 minutes. It has been estimated that the arrival
process is a Poisson process. The average checkout time for each customer is 12 minutes, with
its standard deviation equal to 15 minutes. Suppose that customers form a single line. What is the
average length of the line (i.e., average number of customers in the waiting line)? Note: 1. Keep 2
decimal places for your final answer. Either use Excel for your calculation, or keep at least 4
decimal places for your intermediate numbers. 2. The Poisson arrival process has exponentially
distributed inter-arrival times

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At a fashion retailer there are 3 cashiers providing checko.pdf

  • 1. At a fashion retailer, there are 3 cashiers providing checkout service simultaneously. On average, customers arrive at the checkout area every 6 minutes. It has been estimated that the arrival process is a Poisson process. The average checkout time for each customer is 12 minutes, with its standard deviation equal to 15 minutes. Suppose that customers form a single line. What is the average length of the line (i.e., average number of customers in the waiting line)? Note: 1. Keep 2 decimal places for your final answer. Either use Excel for your calculation, or keep at least 4 decimal places for your intermediate numbers. 2. The Poisson arrival process has exponentially distributed inter-arrival times