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Normal Approximation of Binomial (AQA A Level Maths: Statistics)
Revision Note
Normal Approximation of Binomial
When can I use a normal distribution to approximate a binomial distribution?
- A binomial distribution can be approximated by a normal distribution provided
- n is large
- p is close to 0.5
- The mean and variance of a binomial distribution can be calculated by:
Worked example
The random variable
(i)
Explain why a normal distribution can be used to approximate the distribution of .
(ii)
Write down the approximating normal distribution.
Examiner Tip
-
In the exam, you will only be asked to describe the approximating distribution and not to use it.
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