Question

Suppose that Airplanes are coming into an Airfield at an average rate 4 per hour according...

Suppose that Airplanes are coming into an Airfield at an average rate 4 per hour according to a Poisson process. We start to account the Airplanes from 3:00 (pm).

(a) What is the probability that the third Airplanes takes more that 2 hours to arrive?

(b) What is the expected time the third Airplanes arrive to the station?

(c) What is the probability that three Airplanes arrive between 3:00pm-4:00pm?

(d) What is the probability that no buses arrive between 3:00pm-5:00pm?

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