Finite Math Examples

$n = 10$ , $p = 0.64$ , $q = 0.36$ , $x = 8$

Step 1

Find the mean of the binomial distribution.

Tap for more steps...

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.

$(10) (0.64)$

Step 1.3

Multiply $10$ by $0.64$ .

$6.4$

Step 2

Find the standard deviation of the binomial distribution.

Tap for more steps...

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.

$\sqrt{(10) (0.64) (0.36)}$

Step 2.3

Simplify the expression.

Tap for more steps...

Step 2.3.1

Multiply $10$ by $0.64$ .

$\sqrt{6.4 \cdot 0.36}$

Step 2.3.2

Multiply $6.4$ by $0.36$ .

$\sqrt{2.304}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\sqrt{2.304}$

Decimal Form:

$1.51789327 \dots$