(Answered) Assume customers arrive to an mm1 queue at the average rate

Economics

Assume customers arrive to an M/M/1 queue at the average rate of 10 customers/hour. For safety reasons, the manager wants to have no more than 2 customers in the system at any time. What should be the service rate to make sure that the chance of having no more than 2 customers in the system is 90%? Recall that the arrivals are random so we cannot make 100% sure this never happens.

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