# Statistics Examples

Find the Probability P(x>1) of the Binomial Distribution
, ,
Step 1
Subtract from .
Step 2
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, .
Step 3
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 .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Expand to .
Divide by .
Fill the known values into the equation.
Simplify the result.
Raise to the power of .
Multiply by .
Subtract from .
Subtract from .
Evaluate the exponent.
Multiply by .
Step 4
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.
Cancel the common factor of .
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 .
Raise to the power of .
Subtract from .
Subtract from .
Anything raised to is .
Multiply by .
Step 5