Binomial Distribution

Katie Shaffer


In a Binomial Distribution: There must be a set number of tests that are to be done, the tests cannot depend on each other, they can only have two possible outcomes such as right or wrong, and the probabilities of the tests must remain the same throughout.


  • n means the number of tests that are being done
  • x means a specific number in a test that was successful
  • p means the success probability in a test
  • q means the failure probability in a test


13% of the population is left-handed. You randomly select thirty people and ask if they are left-handed. Find the probability that four of them are left-handed

n =30 p =.13 q =.87 x =4

The Probability is .209