Research on Derivation and Application of Normal Distribution

With the progress of the times, probability theory has been widely used. The normal distribution is an important concept in the Chapter of probability theory. The normal distribution is a probability distribution with a bell-shaped probability density function curve. The probability density function is a function that describes the probability distribution of continuous random variables in a certain range. Now the normal distribution is also widely used. For example, in the weather, the average temperature, average humidity and rainfall in July each year, and the water level in the hydrology are also approximately normal distribution. Based on the definition of normal distribution and the theoretical knowledge of normal distribution, this paper studies the derivation of normal distribution formula and the application of normal distribution in daily life. Finally, the application of normal distribution is diversity in daily life, it is expected that this paper will provide specific reference for the study of the academic content of normal distribution and its practical application in professional fields.