The arrival of airplanes at a one-runway airport follows a Poisson distribution with a mean rate of 8 planes per hour. The landing time can be modeled with an exponential distribution with a mean of 5 minutes per airplane. What is the average number of airplanes in the system?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The arrival of airplanes at a one-runway airport follows a
Poisson distribution with a mean rate of 8 planes per hour.
The landing time can be modeled with an exponential
distribution with a mean of 5 minutes per airplane. What is
the average number of airplanes in the system?
O 1.6
O 2.6667
1.6667
O 2
0.625
Transcribed Image Text:The arrival of airplanes at a one-runway airport follows a Poisson distribution with a mean rate of 8 planes per hour. The landing time can be modeled with an exponential distribution with a mean of 5 minutes per airplane. What is the average number of airplanes in the system? O 1.6 O 2.6667 1.6667 O 2 0.625
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