Bernoulli Distribution

The Bernoulli distribution best describes all situations where a "trial" is made resulting in either "success" or "failure," such as when tossing a coin, or when modeling the success or failure of a surgical procedure.  The Bernoulli distribution is defined as:

f(x) = px * (1-p)1-x    

for x Î {0,1}

where

p

is the probability that a particular event (e.g., success) will occur

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