# Statistics Examples

, ,

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

Fill in the known values.

Multiply by to get .

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

Fill in the known values.

Simplify the expression.

Multiply by to get .

Multiply by to get .

Multiply by to get .

Evaluate the root.

The z-score for a value of a random variable is the number of standard deviations that falls from the mean .

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 to get .

Subtract from to get .

Divide by to get .