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a) What is the probability that the next small aircraft arrives within the next five minutes? b) Given that no aircraft arrives from 10:00 to 10:20. What is the probability that the next aircraft will arrive between 10:20 and 10:25? c) What is the probability that exactly four aircrafts arrive in the next hour?

a) What is the probability that the next small aircraft arrives within the next five minutes? b) Given that no aircraft arrives from 10:00 to 10:20. What is the probability that the next aircraft will arrive between 10:20 and 10:25? c) What is the probability that exactly four aircrafts arrive in the next hour?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Changes in airport procedures require considerable planning. Arrival rates of aircraft are important factors that must be considered. Suppose small aircrafts arrive at a certain airport, according to a Poisson process, at the rate of 6 per hour. a) What is the probability that the next small aireraft arrives within the next five minutes? b) Given that no aircraft arrives from 10:00 to 10:20. What is the probability that the next aircraft will arrive between 10:20 and 10:25? c) What is the probability that exactly four aircrafts arrive in the next hour? d) What is the probability that between 700 to 740 aircrafts arrive within the next five days? [Hint: Use Normal Approximation]
Transcribed Image Text:Changes in airport procedures require considerable planning. Arrival rates of aircraft are important factors that must be considered. Suppose small aircrafts arrive at a certain airport, according to a Poisson process, at the rate of 6 per hour. a) What is the probability that the next small aireraft arrives within the next five minutes? b) Given that no aircraft arrives from 10:00 to 10:20. What is the probability that the next aircraft will arrive between 10:20 and 10:25? c) What is the probability that exactly four aircrafts arrive in the next hour? d) What is the probability that between 700 to 740 aircrafts arrive within the next five days? [Hint: Use Normal Approximation]
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