The Application of Probability Theory and Mathematical Statistics in Economic Life

Mathematics is one of the most practical mathematical and physical disciplines in our time. With the continuous improvement of social development and economic construction, the connection between mathematics knowledge and people's lives is becoming more and more close, especially the application of mathematical system knowledge such as probability estimation and mathematical statistics can effectively solve many problems in life and problems involving calculation. In particular, it is widely used in economic life, and it can accurately calculate the content of multiple work items such as financial investment, financial management, financial risk prediction, risk avoidance, economic and financial management, budget accounting, etc., so that people can be more closely and universally connected with nature and random phenomena in life. This paper analyses the mathematical ideas of probability theory and mathematical statistics, and focuses on the practical application of mathematical methods in real life, and demonstrates the effectiveness and practicability of probability theory and mathematical statistics in terms of economic investment, life lottery, economic management, economic profit, economic sales, financial risk aversion, and financial insurance in mathematics.