Binomial and Normal DistributionDate: 06/09/99 at 03:52:52 From: Emma Subject: Normal distribution Could you please tell me the difference between normal approximation to binomial distibution and normal distribution? Date: 06/09/99 at 05:47:24 From: Doctor Mitteldorf Subject: Re: Normal distribution The binomial distribution is really a bar graph. It's the probability of getting r heads when you flip a coin n times, and r is an integer between 0 and n, so it's n+1 bars all together. But as n gets bigger and you step back and look at the bar graph, it looks smoother and smoother, with smaller and smaller bars closer and closer together. It begins to take on the shape of a normal distribution, which is a smooth, continuous curve. The normal distribution it looks like has a particular mean and standard deviation; those two numbers together completely describe any normal distribution. A normal distribution that is "fitted" in this way to be as close as possible to a particular binomial distribution is called a "normal approximation to the binomial distribution." - Doctor Mitteldorf, The Math Forum http://mathforum.org/dr.math/ |
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