An airplane takes exactly 6 minutes to land after it receives the clear-to-land signal from the…

An airplane takes exactly 6 minutes to land after it receives the clear-to-land signal from the airport’s traffic control. Suppose that airplanes arrive according to a Poisson process, with rate λ = 6 arrivals per hour, and that only one airplane can land at a time.

a) How long can an airplane expect to circle before getting the clear-to-land signal?

b) How many airplanes are expected to wait for such a signal in stationary conditions?

 

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