Customers checking out at Food Mart arrive in a single-line queue served by two cashiers at a rate of eight per hour according to a Poisson distribution. Each cashier processes customers at a rate of eight per hour according to an exponential distribution. 1. If, on average, customers spend 30 minutes shopping before getting in the checkout line, what is the average time a customer spends in the store? 2. What is the average number of customers waiting for service in the checkout line? 3. What is the probability that a customer must wait? 4. What assumption did you make to answer this question?   I need this in Excel format please. Can you also include a small interpretation with the answers ?

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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Customers checking out at Food Mart arrive in a single-line queue served by two cashiers at a rate of
eight per hour according to a Poisson distribution. Each cashier processes customers at a rate of eight
per hour according to an exponential distribution.
1. If, on average, customers spend 30 minutes shopping before getting in the checkout line, what is
the average time a customer spends in the store?
2. What is the average number of customers waiting for service in the checkout line?
3. What is the probability that a customer must wait?
4. What assumption did you make to answer this question?

 

I need this in Excel format please. Can you also include a small interpretation with the answers ?

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