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A small trains station as a ticket booth with 1 agent. Requests for tickets and information are 12 per hour, and follow a Poisson

 

A small trains station as a ticket booth with 1 agent. Requests for tickets and information are 12 per hour, and follow a Poisson distribution. The service time is assumed to follow an exponential distribution. The mean service time should average about 4 minutes per request. What percentage of time will the agent be idle? (Round your answer to an integer number, and enter your answer as a whole number without the percentage sign "%.")

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