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?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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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? 

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