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Statistics & Probability Problem

Question # 00007758
Subject: Statistics
Due on: 02/03/2014
Posted On: 02/03/2014 10:42 AM

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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 wants to land.
D) The FAA has a rule that an air traffic controller can on the average land planes a maximum of 45 minutes out of every hour. There must be 15 minutes of idle time available to relieve the tension. Will this airport have to hire an extra air traffic controller?

Tags problem probability statistics land planes average airport runway traffic minutes controller time hour plane clear takes notified vicinity calculate hire extra tension wants available line maximum rule relieve idle determine aircraft single light

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Statistics & Probability Problem Solution

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Posted On: 02/03/2014 10:43 AM
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Tutorial Preview …this xxxxxxx have xx hire an xxxxx air traffic xxxxxxxxxxx Solution: xx xxxx ? x 4/hour and xx = 60/12 x 5/hour xx x q x ?²/ [µ xxx - ?)] x (4)²/ xx xxxx = x 2 b) x q = xx [µ xxx x ?)] x (4)/ [5…
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