Planes arrive at the airport, on average, every 4 minutes during the morning rush. This interarrival time is exponentially distributed. They "turn", on average, every 30 minutes. That is to say, that the aircraft is unloaded, groomed, and reloaded in 30 minutes. Suppose that there are two planes, on average, waiting on the apron for a gate to become available. What is the expected length of time an aircraft would spend at the airport (in minutes)? Report your answer to the nearest first decimal place.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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Planes arrive at the airport, on average, every 4 minutes during the morning rush.
This interarrival time is exponentially distributed. They "turn", on average, every 30
minutes. That is to say, that the aircraft is unloaded, groomed, and reloaded in 30
minutes. Suppose that there are two planes, on average, waiting on the apron for a
gate to become available. What is the expected length of time an aircraft would
spend at the airport (in minutes)? Report your answer to the nearest first decimal
place.
Transcribed Image Text:Planes arrive at the airport, on average, every 4 minutes during the morning rush. This interarrival time is exponentially distributed. They "turn", on average, every 30 minutes. That is to say, that the aircraft is unloaded, groomed, and reloaded in 30 minutes. Suppose that there are two planes, on average, waiting on the apron for a gate to become available. What is the expected length of time an aircraft would spend at the airport (in minutes)? Report your answer to the nearest first decimal place.
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