If the mean and S.D. of a binomial distribution are 20 and 4 respectively, then the number of trials, is

If the mean and S.D. of a binomial distribution are 20 and $4$ respectively, then the number of trials, is

We have,

$n p = 20$ and $n p q = 4 \Rightarrow q = \frac{1}{5} \Rightarrow p = \frac{4}{5}$

Now, $n p = 20 \Rightarrow n = 25$

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