A binomial experiment is an experiment that meets four conditions.
(1.) There must be a fixed number of trials; denote this by n.
(2.) There must be two possible mutually exclusive outcomes for each trial. Call them
success and failure.
(3.) Each trial must be independent.
(4.) The probability of success and failure must remain constant for each trial.
Let X be a random varaible for the number of success in n
independent and identical repetioons of an experiment with two possible outcomes,
success and failure. If p is the probability of success, then for k =
0, 1, ... , n,
