Limits

    * As n approaches and p approaches 0 while np remains fixed at or at least np approaches , then the Binomial(n, p) distribution approaches the Poisson distribution with expected value .

    * As n approaches while p remains fixed, the distribution of

   
       
    approaches the normal distribution with expected value 0 and variance 1 (this is just a specific case of the Central Limit Theorem).
      
— Wikipedia on Binomial distribution

2010.09.01 Wednesday ACHK