Changes in airport procedures require considerable planning. Arrival rates of aircraft are important factors that must be taken into account. Suppose small aircraft arrive at a certain airport, according to a Poisson process, at the rate of 5 per hour. Thus, the Poisson parameter for arrivals over a period of hours is μ = 5t. (a) What is the probability that exactly 4 small aircraft arrive during a 1-hour period? (b) What is the probability that at least 4 arrive during a 1-hour period? (c) If we define a working day as 12 hours, what is the probability that at least 75 small aircraft arrive during a working day?

Changes in airport procedures require considerable planning. Arrival rates of aircraft are important factors that must be taken into account. Suppose small aircraft arrive at a certain airport, according to a Poisson process, at the rate of 5 per hour. Thus, the Poisson parameter for arrivals over a period of hours is μ = 5t. (a) What is the probability that exactly 4 small aircraft arrive during a 1-hour period? (b) What is the probability that at least 4 arrive during a 1-hour period? (c) If we define a working day as 12 hours, what is the probability that at least 75 small aircraft arrive during a working day?

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.3: Binomial Probability

Problem 33E: Sick leave probability that a given worker at Dyno Nutrition Will call in sick on a Monday is 004....

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