# Finite Math Examples

, ,

Step 1

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

Step 2

Step 2.1

Fill in the known values.

Step 2.2

Simplify the expression.

Step 2.2.1

Simplify the numerator.

Step 2.2.1.1

Multiply by .

Step 2.2.1.2

Subtract from .

Step 2.2.2

Divide by .

Step 3

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

Step 4

Step 4.1

Fill in the known values.

Step 4.2

Simplify the expression.

Step 4.2.1

Simplify the numerator.

Step 4.2.1.1

Multiply by .

Step 4.2.1.2

Subtract from .

Step 4.2.2

Divide by .

Step 5

Find the value in a look up table of the probability of a z-score of less than .

has an area under the curve

Step 6

Find the value in a look up table of the probability of a z-score of less than .

has an area under the curve

Step 7

To find the area between the two z-scores, subtract the smaller z-score value from the larger one. For any negative z-score, change the sign of the result to negative.

Step 8

Step 8.1

Multiply by .

Step 8.2

Add and .