Finite Math Examples

p = 0.2

$p = 0.2$ ,

n = 240

$n = 240$

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)}

$σ = \sqrt{n \cdot p \cdot (1 - p)}$

Step 2

Fill in the known values.

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

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

Step 3

Evaluate the result.

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Step 3.1

Multiply

240

$240$ by

0.2

$0.2$ .

σ = \sqrt{48 (1 - 0.2)}

$σ = \sqrt{48 (1 - 0.2)}$

Step 3.2

Multiply

48

$48$ by

1 - 0.2

$1 - 0.2$ .

σ = \sqrt{38.4}

$σ = \sqrt{38.4}$

σ = \sqrt{38.4}

$σ = \sqrt{38.4}$