Music venue is a concert organizer that is evaluating the


Music venue is a concert organizer that is evaluating the installation if portable toilets in the arena where a concert is going to take place. In particular they are considering giving service to a part of the complex that is far away from the existing restrooms. Assume there will be one single queue to access all the portable toilets in this area and that only one person uses a toilet at a time. There are 2 arrivals per minute on average, the standard deviation of the time between arrivals is 15 seconds, and the average time a person spends in the toilet is 4 minutes (with standard deviation of 1 minute). MV1. What is the average utilization of 10 toilets? MV2. What is the expected time a customer will have to wait? MV3. How long will the average toilet be empty during a 5-hour concert? MV4. What is going to be the average number of people in the queue? (your answer does not have to be an integer).

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