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# A SMALL, FAMILY-OWNED COFFEE SHOP DOES A BRISK BUSINESS EVERY WEEKDAY MORNING.

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Author: Christine Farr
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A small, family-owned coffee shop does a brisk business every weekday morning. Customers arrive at an average rate of 16 per hour. There is only one server and she can serve a customer in an average of 3 minutes. What is the probability that there are at least 5 customers at the coffee shop?Answer0.950.800.750.590.00A small, family-owned coffee shop does a brisk business every weekday morning. Customers arrive at an average rate of 16 per hour. There is only one server and she can serve a customer in an average of 3 minutes. What is the probability that the server is not busy?Answer0.000.800.750.201.00A tutor is working diligently in the tutoring lab answering questions from students the day the homework assignment is due. Because so many students have waited until the last minute to do their homework, she keeps socialization to a minimum and provides explanations as quickly as possible. On average, she can answer 20 questions per hour and students arrive at her office seeking help every four minutes. Student arrivals are Poisson distributed and answer times are exponentially distributed. What is the Utilization rate for the tutoring lab?Answer0.000.800.750.201.00A tutor is working diligently in the tutoring lab answering questions from students the day the homework assignment is due. Because so many students have waited until the last minute to do their homework, she keeps socialization to a minimum and provides explanations as quickly as possible. On average, she can answer 20 questions per hour and students arrive at her office seeking help every four minutes. Student arrivals are Poisson distributed and answer times are exponentially distributed. You arrived at the tutoring lab with a question, what is the probability that you will have to wait?

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