A Discussion of the Relations Among Binomial Distribution,Poisson Distribution and Normal Distribution

The binomial distribution,Poisson distribution and normal distribution have been the foundation of learning and research on probability statistics.Under the certain condition,there are close relations between these three distributions.This paper studies the relations between binomial distribution and Poisson distribution,binomial distribution and normal distribu- tion through finding limit distribution of them.By means of the interrelation between distribution function and characteristic function,the paper analyses the relation between Poisson distribution and Normal distribution.