Q2: Let K be the last digit of your registration number then, 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 6 per hour. Thus, the Poisson parameter for arrivals over a period of hours is µ = 6.Kt. 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? d) Find the mean and variance. Also interpret the result of each part.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Q2: Let K be the last digit of your registration number then, 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 6 per hour. Thus, the Poisson
parameter for arrivals over a period of hours is µ = 6.Kt.
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?
d) Find the mean and variance.
Also interpret the result of each part.
Transcribed Image Text:Q2: Let K be the last digit of your registration number then, 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 6 per hour. Thus, the Poisson parameter for arrivals over a period of hours is µ = 6.Kt. 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? d) Find the mean and variance. Also interpret the result of each part.
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