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 7.5 per hour. Thus, the Poisson parameter for arrivals over a period of hours is p=7.5t. Complete parts (a) through (c). Click here to view page 1 of the table of Poisson probability sums Click here to view page 2 of the table of Poisson probability sums. (a) What is the probability that exactly 6 small aircraft arrive during a 1-hour period? The probability is 1367 (Round to four decimal places as needed.) (b) What is the probability that at least 6 arrive during a 1-hour period? The probability is 0.7586. (Round to four decimal places as needed.) (c) If a working day is defined as 10 hours, what is the probability that at least 85 small aircraft arrive during a working day? The probability is N (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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If you could please please PLEASE help me solve part C of the question. i am confused and my anxiety is kicking it. please help me solve and if you could please show how you solved so i can see exactly what I am doing wrong. I would greatly appreciate it. i will be glad to rate you also. thanks again for your help. 

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 7.5 per hour. Thus, the Poisson parameter for arrivals over a period of t hours is μ = 7.5t. Complete parts (a) through (c).

Click here to view page 1 of the table of Poisson probability sums.  
Click here to view page 2 of the table of Poisson probability sums.

(a) What is the probability that exactly 6 small aircraft arrive during a 1-hour period?  
The probability is \(0.1367\).  
(Round to four decimal places as needed.)

(b) What is the probability that at least 6 arrive during a 1-hour period?  
The probability is \(0.7586\).  
(Round to four decimal places as needed.)

(c) If a working day is defined as 10 hours, what is the probability that at least 85 small aircraft arrive during a working day?  
The probability is \(_. \)  
(Round to four decimal places as needed.)
Transcribed Image Text: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 7.5 per hour. Thus, the Poisson parameter for arrivals over a period of t hours is μ = 7.5t. Complete parts (a) through (c). Click here to view page 1 of the table of Poisson probability sums. Click here to view page 2 of the table of Poisson probability sums. (a) What is the probability that exactly 6 small aircraft arrive during a 1-hour period? The probability is \(0.1367\). (Round to four decimal places as needed.) (b) What is the probability that at least 6 arrive during a 1-hour period? The probability is \(0.7586\). (Round to four decimal places as needed.) (c) If a working day is defined as 10 hours, what is the probability that at least 85 small aircraft arrive during a working day? The probability is \(_. \) (Round to four decimal places as needed.)
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