a) What is the probability that exactly 5 small aircraft arrive during a 1-hour period? What is the probability that at least 5 small aircraft arrive during a 1-hour period? What is the probability that at least 14 small aircraft arrive during a 1-hour period? b) What is the expected value and standard deviation of the number of small aircraft that arrive during a 105-min period? expected value standard deviation c) What is the probability that at least 23 small aircraft arrive during a 2.5-hour period? What is the probability that at most 11 small aircraft arrive during a 2.5-hour period?
a) What is the probability that exactly 5 small aircraft arrive during a 1-hour period? What is the probability that at least 5 small aircraft arrive during a 1-hour period? What is the probability that at least 14 small aircraft arrive during a 1-hour period? b) What is the expected value and standard deviation of the number of small aircraft that arrive during a 105-min period? expected value standard deviation c) What is the probability that at least 23 small aircraft arrive during a 2.5-hour period? What is the probability that at most 11 small aircraft arrive during a 2.5-hour period?
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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Suppose small aircraft arrive at a certain airport according to a Poisson process with rate ? = 8 per hour, so that the number of arrivals during a time period of t hours is a Poisson rv with parameter
? = 8t.
(Round your answers to three decimal places.)
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Step 1: poisson distribution for time period t
VIEWStep 2: Probability that exactly 5, atleast 5 and at least 14 small aircraft arrive during a 1-hour period
VIEWStep 3: The expected value and standard of the number of small aircraft that arrive during a 105-min period
VIEWStep 4: Probability that at least 23 and at most 11 small aircraft arrive during a 2.5-hour period
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