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4) Students filter into a cafeteria at an average of one per minute (Poisson) where the...

4) Students filter into a cafeteria at an average of one per minute (Poisson) where the service rate is 25 per hour (Poisson).

a. What is the average number of students in the system with 3 servers?

b. What is the minimum number of servers needed to keep the average time in the system under five minutes? Please show formulas.

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