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Sharp Discounts Wholesale Club has two service desks; one at each entrance of the store: Customers arrive at each service desk at an average of one every six minute...

Question

Sharp Discounts Wholesale Club has two service desks; one at each entrance of the store: Customers arrive at each service desk at an average of one every six minutes with a Poisson distribution: The service rate at each service desk is four minutes per customer in an exponentially distributed fashion_23For a single service desk (both identical), answer the following questions: What is the utilization rate of the service clerk? b_ What is the average length of the waiting line? What is the averag

Sharp Discounts Wholesale Club has two service desks; one at each entrance of the store: Customers arrive at each service desk at an average of one every six minutes with a Poisson distribution: The service rate at each service desk is four minutes per customer in an exponentially distributed fashion_ 23 For a single service desk (both identical), answer the following questions: What is the utilization rate of the service clerk? b_ What is the average length of the waiting line? What is the average time that a person must spend at the service desk (waiting plus service)? d. What is the probability that when You arrive there will be three or more people ahead of you?



Answers

Customer service time The mean waiting time to get served after walking into a bakery is 30 seconds. Assume that an exponential density function describes the waiting times.
a. What is the probability a customer waits 15 seconds or less?
b. What is the probability a customer waits longer than one minute?
c. What is the probability a customer waits exactly 5 minutes?
d. If 200 customers come to the bakery in a day, how many are likely to be served within three minutes?


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