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A small grocery store in a very busy market square |
The interrelationship between these distributions is illustrated with following example.
Suppose that there is a small grocery store located in a very busy market square with several big stores and shopping malls. Hundreds of people are walking in this market square in a Saturday morning. Then the number of people entering this store is a random variable following Poisson distribution. Number of people making purchases upon their entry into this shop is a random variable following Binomial distribution. Number of people making purchases before a person leaves the shop without buying anything is a random variable following geometric distribution. And lastly the number of people entering the shop before third person makes purchases more Rs. 5, 000/- is also a random variable and follows negative binomial distribution.
In this example, different random variables governed by probability law of different probability mass functions explain different aspects of a purchase in a small shop.
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