Consider the Edmonton International Airport on a busy summer day. Which of the f

Question

Consider the Edmonton International Airport on a busy summer day. Which of the following arrival patterns would be LEAST likely to follow a Poisson arrival process:

taxi cabs arriving at the taxi stand at the Edmonton International Airport, hoping to find a waiting passenger

travellers requiring the use of emergency medical services within the main terminal at the Edmonton International Airport

passengers arriving at the taxi stand at the Edmonton International Airport hoping to find a waiting cab

flights landing at the Edmonton International Airport

taxi cabs arriving at the taxi stand at the Edmonton International Airport, hoping to find a waiting passenger

travellers requiring the use of emergency medical services within the main terminal at the Edmonton International Airport

passengers arriving at the taxi stand at the Edmonton International Airport hoping to find a waiting cab

flights landing at the Edmonton International Airport

Explanation / Answer

The Poisson process is one of the most widely-used counting processes. It is usually used in scenarios where we are counting the occurrences of certain events that appear to happen at a certain rate, but completely at random (without a certain structure). For example, suppose that from historical data, we know that earthquakes occur in a certain area with a rate of 22 per month. Other than this information, the timings of earthquakes seem to be completely random. Thus, we conclude that the Poisson process might be a good model for earthquakes. In practice, the Poisson process or its extensions have been used to model [24]

the number of car accidents at a site or in an area;

the location of users in a wireless network;

the requests for individual documents on a web server;

the outbreak of wars;

photons landing on a photodiode.

Addtional information ;

A counting process is a random process N(t), t 0, such that

1. N(t) is a nonnegative integer for each t;

2. N(t) is nondecreasing in t; and

3. N(t) is right-continuous.

So option D is least likely a poission process as the landing of flights is not a random but a structured process.

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