There are different laws. The statement that is not true is that for a large population, the count of failures for an SRS of size n does not have a binomial distribution.
<h2> B
inomial distribution</h2>
There are things that takes place in binomial distribution when n is large.
Note that For large values of n, the distributions of the count X and the sample proportion are said to be normal. This result is said to be in line with the Central Limit Theorem.
The binomial distribution B (n,p) is known to be good example of the Sampling distribution of the count of successes in an SRS of size n from a large population that has proportion p of successes.
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