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A security and metal detection machine at an airport has a service rate that follows an exponential distribution with = 10 minutes. Passengers arrive at

A security and metal detection machine at an airport has a service rate that follows an exponential distribution with = 10 minutes. Passengers arrive at the machine with an exponential rate of = 8 minutes. The queuing rule is FCFS. Find the expected machine utilisation, passenger throughput time, and average waiting time

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