Finite Math Examples

$p = 0.2$ , $n = 240$

Step 1

The mean of a binomial distribution is the number of trials multiplied by the probability.

$σ = \sqrt{n \cdot p \cdot (1 - p)}$

Step 2

Fill in the known values.

$σ = \sqrt{240 \cdot 0.2 \cdot (1 - 0.2)}$

Step 3

Evaluate the result.

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Step 3.1

Multiply $240$ by $0.2$ .

$σ = \sqrt{48 (1 - 0.2)}$

Step 3.2

Multiply $48$ by $1 - 0.2$ .

$σ = \sqrt{38.4}$