# Statistics Examples

Find the Probability Using the Mean and Standard Deviation
, ,
The z-score converts a non-standard distribution to a standard distribution in order to find the probability of an event.
Find the z-score.
Fill in the known values.
Simplify the expression.
Simplify the numerator.
Multiply by .
Subtract from .
Divide by .
The z-score converts a non-standard distribution to a standard distribution in order to find the probability of an event.
Find the z-score.
Fill in the known values.
Simplify the expression.
Simplify the numerator.
Multiply by .
Subtract from .
Divide by .
Find the value in a look up table of the probability of a z-score of less than .
has an area under the curve
Find the value in a look up table of the probability of a z-score of less than .
has an area under the curve
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.
Find the area between the two z-scores.
Multiply by .