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group.fbi@gmail.com science forum beginner
Joined: 04 Jun 2006
Posts: 4

Posted: Sun Jun 11, 2006 2:31 pm Post subject:
Binomial Distribution> Poisson Distribution?? when???



Dear all,
I heard that a Binomial Distribution will be approximately considered
as a Poisson Distribution when the trial number is big enough. I am
wondering how we can specify this number. The number should be 1000,
2000 or what??
Thanks 

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Ray Koopman science forum Guru Wannabe
Joined: 25 Mar 2005
Posts: 216

Posted: Sun Jun 11, 2006 10:28 pm Post subject:
Re: Binomial Distribution> Poisson Distribution?? when???



group.fbi@gmail.com wrote:
Quote:  Dear all,
I heard that a Binomial Distribution will be approximately considered
as a Poisson Distribution when the trial number is big enough. I am
wondering how we can specify this number. The number should be 1000,
2000 or what??
Thanks
From http://www.itl.nist.gov/div898/handbook/pmc/section3/pmc331.htm :
"The sample size n should be equal to or larger than 20 and the 
probability of a single success, p, should be smaller than or equal to
..05. If n >= 100, the approximation is excellent if np is also <= 10." 

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