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Airplanes land in a certain busy airport according to a Poisson process with an average rate of 2 planes per minutes. (a) Evaluate the probabilities

Airplanes land in a certain busy airport according to a Poisson process with an average rate of 2 planes per minutes. (a) Evaluate the probabilities of the following two events: A: 10 cars planes lend in the next 5 minutes. B: exactly 2 airplanes lend every minute for the next 5 minutes (b) Evaluate in two different ways the probability that the time until the next plane (beginning from this moment) exceeds 3 minutes.

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