ВИКОРИСТАННЯ ТЕОРІЇ ЙМОВІРНОСТЕЙ ТА МАТЕМАТИЧНОЇ СТАТИСТИКИ ПІД ЧАС ВИКЛАДАННЯ СИСТЕМНОГО АНАЛІЗУ

The article examines the peculiarities of the application of probabilistic and statistical methods as components of the formalized method of system analysis. It is noted that now more and more often in practice, qualitative and quantitative methods are used in a complex manner. Mathematical apparatus is key in most modern methods of system analysis. And mathematical methods of system analysis are basic in training system analysts to solve practical problems. Examples of solving economic problems using the tools of probability theory and mathematical statistics using the MS Excel spreadsheet are given. It was concluded that the application of the tools of probability theory and mathematical statistics (calculation of numerical characteristics of random variables, statistical characteristics of sample populations, probability distribution functions, laws of distribution of economic values) allows you to make a reasonable choice of one of several alternative options for solving an economic problem, calculate the probabilities of the desired events, and make forecasts. It is also emphasized that the formalized methods of system analysis require the processing of large data sets, therefore, it is advisable to carry out calculations using modern IT technologies. An important aspect of the application of probability theory and mathematical statistics in the teaching of system analysis in institutions of higher education is the issue of graphical display of statistical distributions in the form of polygons and histograms of frequencies, relative frequencies, numerical characteristics with the help of graphic editors of various software tools. Attention is focused on the fact that modern scientists are studying the issue of using mathematical methods in system analysis, but the issues of their deepening, systematization and application of information technologies when using mathematical apparatus in the process of teaching system analysis require further resolution.