# Statistics Examples

, ,

Subtract from .

When the value of the number of successes is given as an interval, then the probability of is the sum of the probabilities of all possible values between and . In this case, .

Use the formula for the probability of a binomial distribution to solve the problem.

Find the value of .

Find the number of possible unordered combinations when items are selected from available items.

Fill in the known values.

Simplify.

Subtract from .

Rewrite as .

Reduce the expression by cancelling the common factors.

Cancel the common factor.

Rewrite the expression.

Expand to .

Divide by .

Fill the known values into the equation.

Simplify the result.

Remove parentheses around .

Raise to the power of .

Multiply by .

Subtract from .

Subtract from .

Remove parentheses around .

Evaluate the exponent.

Multiply by .

Find the probability of .

Use the formula for the probability of a binomial distribution to solve the problem.

Find the value of .

Find the number of possible unordered combinations when items are selected from available items.

Fill in the known values.

Simplify.

Subtract from .

Rewrite as .

Reduce the expression by cancelling the common factors.

Cancel the common factor.

Rewrite the expression.

Expand to .

Divide by .

Fill the known values into the equation.

Simplify the result.

Remove parentheses around .

Raise to the power of .

Multiply by .

Subtract from .

Subtract from .

Remove parentheses around .

Evaluate the exponent.

Multiply by .

Use the formula for the probability of a binomial distribution to solve the problem.

Find the value of .

Find the number of possible unordered combinations when items are selected from available items.

Fill in the known values.

Simplify.

Reduce the expression by cancelling the common factors.

Cancel the common factor.

Rewrite the expression.

Simplify the denominator.

Subtract from .

Expand to .

Divide by .

Fill the known values into the equation.

Simplify the result.

Multiply by .

Remove parentheses around .

Raise to the power of .

Subtract from .

Subtract from .

Remove parentheses around .

Anything raised to is .

Multiply by .

Add and .