Finite Math Examples

μ = 11

$μ = 11$ ,

σ = 2.8

$σ = 2.8$ ,

x = 19

$x = 19$

Step 1

The z-score converts a non-standard distribution to a standard distribution in order to find the probability of an event.

\frac{x - μ}{σ}

$\frac{x - μ}{σ}$

Step 2

Find the z-score.

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Step 2.1

Fill in the known values.

\frac{19 - (11)}{2.8}

$\frac{19 - (11)}{2.8}$

Step 2.2

Simplify the expression.

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Step 2.2.1

Simplify the numerator.

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Step 2.2.1.1

Multiply

- 1

$- 1$ by

11

$11$ .

\frac{19 - 11}{2.8}

$\frac{19 - 11}{2.8}$

Step 2.2.1.2

Subtract

11

$11$ from

19

$19$ .

\frac{8}{2.8}

$\frac{8}{2.8}$

\frac{8}{2.8}

$\frac{8}{2.8}$

Step 2.2.2

Divide

8

$8$ by

2.8

$2.8$ .

2.\overline{857142}

$2.\overline{857142}$

2.\overline{857142}

$2.\overline{857142}$

2.\overline{857142}

$2.\overline{857142}$

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