关于正态分布教学的探讨

Discussion on Normal Distribution Teaching

正态分布是概率论与数理统计中最常见最重要的分布,无论在理论研究还是在实际应用中都具有特别重要的地位。在生产与科学实验中很多随机变量的概率分布都可以近似地用正态分布来描述。例如测量误差;男性成年人的身高;测量某零件长度的误差;海洋波浪的高度;半导体中的热噪声电流或电压;射击时弹着点对目标的横向、纵向偏差;自动机床生产的产品尺寸;学生的考试成绩等都服从“中间大,两头小”的正态分布。在实际问题中大量的随机变量服从或近似服从正态分布。本文将根据学生的专业给出一些正态分布应用的例子。

Normal distribution is the most common and important distribution in Probability theory and mathematical statistics,whether in theoretical rechearch or in reality.Applications have a particularly important position.The probability distribution of many random variables in production and scientific experiments can be approximated described by narmal distribution.Such as measurement errors;Height of male adults;Error in measuring the length of a part;Height of the Ocean wave;Thermal noise current or voltage in semiconductors;Horizontal and vertical deviation of the impact point to the target during schooting;Automatic machine tool the product size produced;The examination results of students all follow the normal distribution of“big in the middle,small at both ends”.In practical problems a large number of random variables obey or approximately obey the normal distribution.This article will give some applications of normal distribution according to students specialty example.