二项分布、泊松分布、正态分布的关系及比较内容摘要概率论中最基本的概率分布是二项分布、泊松分布以及正态分布这三种随机变量的分布，并且这三种分布也是生活中最常用的分布方式，这三种分布方式在一定的条件下，有着非常密切的联系，本文给出了这几种概率分布之间通过极限关系达成的近似，运用到了特征函数、分布函数、极限分布等知识，并根据三种分布之间的关系举出例子，便于更好地理解这三种概率分布。【关键词】二项分布 泊松分布 正态分布 极限The relation and comparison of binomial distribution, Poisson distribution and normal distribution AbstractProbability theory is the most basic probability distribution in the binomial distribution, Poisson distribution and normal distribution of the three, the distribution of random variables and distribution of the three distribution is the most commonly used in life, one of the three distribution under certain conditions, has a very close connection, the several kinds of probability distribution are given in this paper through the ultimate relationship between approximate, using the characteristic function, distribution function, the limiting distribution of knowledge, and according to the relationship between the distribution of three cite examples, to facilitate a better understanding of the three kinds of probability distribution.【 key words 】binomial distribution Poisson distribution normal distribution limit 目录1.相关概念及定理11.1 二项分布11.2 泊松分布11.3 正态分布22.各概率分布间的关系22.1 二项分布与泊松分布的关系22.2 二项分布与正态分布的关系42.3 泊松分布与正态分布的关系63.三种概率分布的比较94.总结9参考文献 11致谢 12二项分布、泊松分布、正态分布的关系及比较学生姓名：郑文馨 指导教师：王全虎1.相关概念及定理1.1 二项分布二项分布一种离散型的概率分布，是概率论中常见的分布方式，它描述的情况是在一样的条件的情况下，重复地做 n 次试验，每次试验只发生两种相互对立的结果，即 n 重伯努利试验，假设实验成功记为 A，成功...
