Question: At a library, students arrive randomly at the help desk. There is only one employee who helps students. The time required for inquiry varies from

At a library, students arrive randomly at the help desk. There is only one employee who helps students. The time required for inquiry varies from student to student. Arrivals have been found to follow the Poisson process (i.e., exponentially distributed inter-arrival times), and the service times follow the exponential distribution. The average arrival rate is 12 students per hour, and the average service rate is 16 students per hour. How long should a student expect to spend at the help desk (waiting + inquiry)?

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