浅析二项分布与泊松分布之间的关系.doc

学 年 论 文 题目： 浅析二项分布与泊松分布之间的关系 学 生： 学 号： 院 （系）： 理学院 专 业： 信息与计算科学 指导教师： 安晓钢 2013 年11月25日  浅析二项分布与泊松分布之间的关系 信息121班; 指导教师：安晓钢 （陕西科技大学理学院 陕西 西安 710021） 摘 要：泊松分布刻画了稀有事件在一段时间内发生次数这一随机变量的分布，如电话交换台单位时间内接到的呼唤次数等。二项分布是n独立的是/非试验中成功的次数的离散概率分布n很大时，则二项分布接近于泊松分布，即：如果试验次数n很大，二项分布的概率p很小，且乘积比较适中，则事件出现的次数的概率可以用泊松分布来逼近。事实上，二项分布可以看作泊松分布在离散时间上的对应物The Application of Asignment Poblem ABSTRACT: Poisson distribution is used to depict the distribution of rare events that a random variable frequency over a period of time, such as a telephone exchange in unit time received the call number. The two distribution is n independent / discrete probability distributions of number of successful non trials. They have a close relationship. Poisson distribution is two distribution case. The incidence of the phenomenon is very small, and the number of sample n is large, then the two distribution is close to the Poisson distribution, i.e.: if the test number n is large, the two probability distribution P is small, and the product of lambda = N P is moderate, the probability of the event can be used to force the Poisson distribution near. In fact, the two distribution can be seen as the counterpart of Poisson distribution in discrete time, are the two distribution case. Through the analysis of the relationship between two binomial distribution and Poisson distribution, enables the student to the theory of probability distribution for more profound understanding will be able to learn the application of theoretical knowledge in real life, so as to improve their comprehensive quality. KEY WORDS: Two distribution, Poisson distribution, Approximate 1、二项分布是n个独立的是/非试验中成功的次数的离散概率分布 　　　　 X 　　　　　 　　　　　　　　　　　　Ｐ（Ｘ） 二项分布 泊松分布 0 0.3660 0.3679 1　　　 0.3697 0.3679 　　　　 2 0.1849 0.1839 　　　　　 3 0.0610 0.0613 　　　　　　4