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离散型随机变量的分布列是高三数学新教材第一章中非常重要的内容,也是计算随机变量的期望与方差的基础.根据分布列的性质,合理构造分布列,巧用随机变量的方差公式,可灵活证明一类不等式.设离散型随机变量ξ的分布列为ξx1x2…xi…Pp2p2…pi…那么分布列具有下面两个性质:(1)pi
The distribution of discrete random variables is a very important part of the first chapter of the new mathematics textbook, and it is also the basis for calculating the expectation and variance of random variables. According to the nature of the distribution column, the distribution column is constructed rationally and the variance formula of the random variable is used skillfully. We can flexibly prove a type of inequality. Let the distribution of discrete random variables ξ be ξx1x2...xi...Pp2p2...pi... Then the distribution column has the following two properties: (1) pi