On Discrete Probability Distributions to Grasp the Number of Samples in a Population

Abstract

In situations where there are multiple options, when the number of options selected is known, the discrete probability distribution of the number of options selected is mathematically defined, and properties such as expected value and variance are shown. By using the discrete probability distributions derived in this paper, we can find the most probable number of people trying to buy and the most probable number of sales of other people's products when we know the number of sales of our own product. Therefore, application in the field of economics can be expected.