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2. A recent study by the University of Pittsburg showed that the average number of airplanes flying over downtown Pittsburg is four per hour. Assume the passing of these airplanes is approximated by the Poisson distribution. (a) Find the probability that no airplanes flew over Pittsburg between 8am and 9am on Sunday. (b) Find the probability that exactly three airplanes flew during that time. (c) Find the probability that exactly four airplanes flew during that time. (d) Find the probability that nine or more airplanes flew during that time.
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