# Finite Math Examples

, ,

Find the mean of the binomial distribution using the formula.

The population proportion is the number of true results divided by the total samples .

Fill in the known values.

Simplify the expression.

Fill in the known values to find .

Simplify the numerator.

Multiply by .

To write as a fraction with a common denominator, multiply by .

Write each expression with a common denominator of , by multiplying each by an appropriate factor of .

Combine the numerators over the common denominator.

Factor out of .

Apply the distributive property.

Rewrite as .

Multiply by .

Simplify.

Simplify .

To write as a fraction with a common denominator, multiply by .

Write each expression with a common denominator of , by multiplying each by an appropriate factor of .

Combine the numerators over the common denominator.

To write as a fraction with a common denominator, multiply by .

Write each expression with a common denominator of , by multiplying each by an appropriate factor of .

Combine the numerators over the common denominator.

Remove parentheses.

Simplify the numerator.

Simplify the denominator.

Multiply the numerator by the reciprocal of the denominator.

Move the negative in front of the fraction.

Cancel the common factor of .

Reduce the expression by cancelling the common factors.

Simplify.

Factor out of .

Reduce the expression by cancelling the common factors.

Simplify the denominator.

-----Begin simplification-----

Multiply by .

Divide by .

Evaluate the root.

Multiply the numerator by the reciprocal of the denominator.

Divide by .

Simplify .

Write as a fraction with denominator .

Multiply and .

Simplify the expression.

Move to the left of the expression .

Multiply by .

Move .

Move .

Factor out of .

Factor out of .

Rewrite as .

Move .

Multiply by .

Factor out of .

Simplify the expression.

Rewrite as .

Move the negative in front of the fraction.