PERFORMING PRACTICAL TASKS ON THE NUMERICAL CHARACTERISTICS OF RANDOM VARIABLES

This article focuses on the practical application of numerical characteristics of random variables within probability theory and statistics. The study aims to strengthen theoretical understanding through the solution and analysis of applied tasks related to expectation, variance, standard deviation, and other descriptive measures used for quantitative evaluation of uncertainty. Special attention is given to interpreting these characteristics in real problem-solving contexts rather than treating them as purely theoretical constructs. The results show that systematic practice with numerical characteristics improves comprehension of probabilistic models and enhances the ability to analyze uncertain processes in applied fields such as economics, engineering, and data analysis. The article contributes to educational methodology by presenting a clear framework for integrating theoretical concepts with practical problem solving, making the material suitable for both academic instruction and самостоятель analytical work.