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students and staff arrive for meals at the upper mess following a poisson's distribution at a rate of 10 per minute. there is one cashier

students and staff arrive for meals at the upper mess following a poisson's distribution at a rate of 10 per minute. there is one cashier able to serve each customer for 5 seconds. meals are served throughout the day and the waiting space is infinite. if a customer arrives and finds more than 10 people in the line, they leave. determine the expected service rate to ensure that no customer leaves the system

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