Question: If you could please explain how you got the results it would help me better understand. Thank you. The Peachtree Airport in Atlanta serves light

If you could please explain how you got the results it would help me better understand. Thank you.

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 (following an exponential distribution). So the service rate is 5 per hour. Planes arrive at the airport at the rate of one every 15 minutes. The arrival rate follows a Poisson distribution. A plane is considered to have entered the system once it has notified the airport that it is in the vicinity and wants to land. For purposes of this analysis, you can ignore the planes taking off.

a) Determine the average number of planes that will stack up (wait) to land.

b) Find the average time a plane is in the system (waiting to land or landing).

c) What is the probability that a plane approaching the airport will find at least one other plane in the system either landing or waiting to land?

4. (14 points)

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