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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
Normal distribution can be used when the value of n is larger.
I will still continue to provide explanations.
Normal distribution can be used under the following conditions
If n is large enough, then the skew of the distribution is not too great. In this case a reasonable approximation to B(n, p)
- One rule is that both x=np and n(1 − p) must be
greater than 5. However, the specific number varies from source to
source, and depends on how good an approximation one wants; some sources
give 10 which gives virtually the same results as the following rule
for large n until n is very large .
The following rule applies:
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