Changes in airport procedures require considerable planning. Arrival rates of aircraft are important factors that must be considered. Suppose small aircraft arrive at a certain airport, according to a Poisson process, at the rate 6 per hour. Thus, the Poisson parameter for arrivals over a period of hours is u = 6t4. a. What is the probability that exactly 4 small aircraft arrive during a 1-hour period?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Changes in airport procedures require considerable planning. Arrival rates of aircraft are
important factors that must be considered. Suppose small aircraft arrive at a certain airport,
according to a Poisson process, at the rate 6 per hour. Thus, the Poisson parameter for
arrivals over a period of hours is u = 6t4.
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?

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