AJ asked in Science & MathematicsMathematics · 6 months ago

Vehicles arrive at a toll booth with a mean arrival rate of 2 vehicle per minute (the time between arrivals is exponentially distributed).?

Vehicles arrive at a toll booth with a mean arrival rate of 2 vehicle per minute (the time between arrivals is exponentially distributed). The toll booth operator processes vehicles (collect tolls) at a uniform deterministic rate of one every 20 seconds. What is the average length of queue (in vehicles), time spent in the system and waiting time spent in the queue?

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  • paul
    Lv 7
    6 months ago

    do your own homework

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  • JetDoc
    Lv 7
    6 months ago

    If a vehicle arrives every 30 seconds, and the toll booth operator processes them in 20 seconds, there should be no queue or waiting time.

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