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Comparison of distributions
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The three common distributions are all different but, at certain limits, they become similar to each other.

Binomial  
(discrete)

Poisson  
(discrete)

Gaussian  
(continuous)

  • For example, for a given m, as we make n large (and p small), the binomial distribution becomes like the Poisson distribution.
  • If the mean, m increases to a large value, both the binomial and Poisson distributions become more symmetrical and can be approximated by a Gaussian distribution.
  • To set s for the Gaussian, type a value in the rectangle and hit 'submit'.

Vary parameters to find when the binomial distribution approaches the Poisson distribution or when all 3 distributions are similar.  

 
 

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