Finite Math Examples

$n = 170$ , $p = 0.3$

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.

$σ = \sqrt{170 \cdot 0.3 \cdot (1 - 0.3)}$

Step 3

Evaluate the result.

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Step 3.1

Multiply $170$ by $0.3$ .

$σ = \sqrt{51 (1 - 0.3)}$

Step 3.2

Multiply $51$ by $1 - 0.3$ .

$σ = \sqrt{35.7}$