The binomial distribution (the term first used by Yule, 1911) is defined as:

f(x) = [n!/(x!*(n-x)!)]*

for x = 0,1,2,...,n

where

p |
is the probability of success at each trial |

q |
is equal to 1-p |

n |
is the number of independent trials |

For a complete listing of all distribution functions, see Distributions and Their Functions.