Determine the binomial distribution whose mean is 20 and variance 16.

Explanation

Mean, i.e.` n p=20`

Variance, i.e. `n p q=16`

Dividing` eq (2) ` by `eq (1)`, we get

`frac{n p q}{n p}=frac{16}{20} `

`Rightarrow q=frac{4}{5} `

`Rightarrow p=1-q `

`therefore p=frac{1}{5} `

`text { As } {np}=20 `

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