During the summer at a small private airport in Far-North Queensland, the unscheduled arrival of airplanes is Poisson distributed with an average arrival rate of 1.12 planes per hour. (a)What is the average interarrival time between planes? (b)What is the probability that at least 2 hours will elapse between plane arrivals? (c)What is the probability of two planes arriving less than 10 minutes apart?

(a) =

min., round your answer to 2 decimal places, the tolerance is +/-0.01

(b) P(X 2 hrs| = 1.12 planes/hr.) =

, round your answer to 3 decimal places, the tolerance is +/-0.001

(c) P(X < 10 min| = 1.12/hr.) =

, round your answer to 3 decimal places, the tolerance is +/-0.001