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During the summer at a small private airport in western Nebraska, the unscheduled arrival of airplanes is Poisson distributed with an average arrival rate of

During the summer at a small private airport in western Nebraska, the unscheduled arrival of airplanes is Poisson distributed with an average arrival rate of 1.12 planes per hour.

Answer questions 41-43 based on the above information.

41. What is the average interarrival time between planes (in minutes)?

a) 53.6 b) 53.4 c) 67.2 d) 60 e) 58.88

42. What is the probability that at least 2 hours will elapse between plane arrivals?

a) 0.5000 b) 0.1065

c) 0.8935 d) 0.3935 e) 0.6065

43. What is the probability of two planes arriving less than 10 minutes apart?

a) 0.8297 b) 0.6703 c) 0.3297 d) 0.5000 e) 0.1703

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