normal distribution

User Generated

ryfn

Mathematics

Description

Under what conditions are you allowed to use the normal distribution to approximate the binomial distribution? Under what conditions might you want to use the normal distribution to approximate the binomial as opposed to using the binomial probability formula, a table of binomial probabilities, or a computer?     

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Explanation & Answer

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 Normal distribution can be  used to approximate  binomial distribution when the  data on normal distribution is discrete

Conditions on how to use  Normal distribution 

U of  computer , table  or probability formulas  are only  to do exact calculations or if n is not very large, if X has the binomial distribution ie. X~ binomial (n,p) and n is large, then X has approximately the Normal distribution with mean µ=np and standard deviation . This approximation is reasonably good when np>10 and n(1-p)>10.  Normal distribution can be used when  the value of n is larger.

  I will still continue to provide explanations.

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Anonymous
Great content here. Definitely a returning customer.

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