Finite Math Examples

$n = 52$ , $p = 0.45$ , $x = 37$

Find the mean of the binomial distribution.

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The mean of the binomial distribution can be found using the formula.

$μ = n p$

Fill in the known values.

$(52) (0.45)$

Multiply $52$ by $0.45$ .

$23.4$

Find the standard deviation of the binomial distribution.

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The standard deviation of the binomial distribution can be found using the formula.

$σ = \sqrt{n p q}$

Fill in the known values.

$\sqrt{(52) (0.45) (0.55)}$

Simplify the expression.

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Multiply $52$ by $0.45$ .

$\sqrt{23.4 \cdot 0.55}$

Multiply $23.4$ by $0.55$ .

$\sqrt{12.87}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt{12.87}$

Decimal Form:

$3.58747822 \dots$