Finite Math Examples

$x = 5$ , $n = 6$ , $p = 0.32$

Step 1

Find the mean of the binomial distribution.

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Step 1.1

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

$μ = n p$

Step 1.2

Fill in the known values.

$(6) (0.32)$

Step 1.3

Multiply $6$ by $0.32$ .

$1.92$

Step 2

Find the standard deviation of the binomial distribution.

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Step 2.1

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

$σ = \sqrt{n p q}$

Step 2.2

Fill in the known values.

$\sqrt{(6) (0.32) (0.68)}$

Step 2.3

Simplify the expression.

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Step 2.3.1

Multiply $6$ by $0.32$ .

$\sqrt{1.92 \cdot 0.68}$

Step 2.3.2

Multiply $1.92$ by $0.68$ .

$\sqrt{1.3056}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\sqrt{1.3056}$

Decimal Form:

$1.14262854 \dots$