Approximate Calculations for Queueing Theory: Political Aspects

People have been watching in statistical observations since ancient times, but also in our time statistics become an integral part of the most diverse spheres of human activity.Currently, it is impossible to imagine modern management of any industry, media work, politics, advertising, a lot of other areas of our existence without the processing and analysis of statistical materials.For example, during the pandemic COVID-19 creating vaccines against the coronavirus strain necessarily involved statistical processing of the results of their tests and further observations.The conduct of hostilities also involves the collection of information and its processing in order to establish certain areas of improvement in both military tactics and weapons.Also the same time, it is important not only to collect qualitative statistical data, and interpret them correctly and draw right conclusions, and this is quite not such a simple matter.Let us give a visual example.We will conduct a test that consists of a question on specific knowledge and involves choosing an answer or «yes», or «no».Suppose, that answered correctly 50% interviewees.From this we can hastily conclusion that 50% respondents know the correct answer, but it is not so.If a person does not know the correct answer, then most often chooses it at random.This example shows the need for deep knowledge of probability theory, which will help to make the right conclusions.1(1) 2024 344Thus the paper was consider systems of recurrent equations for calculating probabilities.Was showed, how a system of equations with throwing a coin lead to the formula, similar to Binet's formula.The method was given of obtaining the formula, which expresses the probability through the sum of geometric progressions due to the application of the characteristic equation.A simple method was offered of approximating the probability formula through a single geometric progression.Examples were given of the practical application of the method for queuing systems.