Airplanes Arrive for Take-Off at the Runway of an Airport

question 4

Essay

Airplanes arrive for take-off at the runway of an airport according to a Poisson process at a mean rate of 20 per hour.The time required for an airplane to take off has an exponential distribution with a mean of 2 minutes,and this process must be completed before the next airplane can begin to take off.Because a brief thunderstorm has just begun,all airplanes which have not commenced take-off have just been grounded temporarily.However,airplanes continue to arrive at the runway during the thunderstorm to await its end.Assuming steady-state operation before the thunderstorm,determine the expected number of airplanes that will be waiting to take off at the end of the thunderstorm if it lasts 30 minutes.

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Definitions:

Institutional Funds Act

A legislative framework governing the investment practices and financial management of funds held by educational, charitable, and other non-profit institutions.

Types Of Accounting

Various methodologies and practices for recording, analyzing, and managing financial transactions and statements.

Use-It-Or-Lose-It

A principle emphasizing that not using a skill or capacity may lead to its gradual deterioration over time.

Operating Budget

An operating budget consists of all revenues and expenses over a specific period of time (usually fiscal year) that an organization expects to incur to carry out its planned activities.