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?
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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