The Peachtree Airport in Atlanta serves light aircraft. It has a single runway and one air traffic controller to land planes. It takes an airplane 12 minutes to land and clear the runway. Planes arrive at the airport at the rate of 4 per hour. a) Determine the average number of planes that will stack up waiting to land. b) Find the average time a plane must wait in line before it can land. c) Calculate the average time it takes a plane to clear the runway once it has notified the airport that it is in the vicinity and want to land.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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  1. The Peachtree Airport in Atlanta serves light aircraft. It has a single runway and one air traffic controller to land planes. It takes an airplane 12 minutes to land and clear the runway. Planes arrive at the airport at the rate of 4 per hour.
    a) Determine the average number of planes that will stack up waiting to land.

    b) Find the average time a plane must wait in line before it can land.
    c) Calculate the average time it takes a plane to clear the runway once it has notified the airport that it is in the vicinity and want to land.

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