ABSTRACT

In probability theory there is a class of distribution functions known as special distributions. Special distributions are those that occur frequently in the theory and application of probability. A well-known special distribution is the Bernoulli distribution, a discrete distribution whose probability function is given by Equation 4.1. The Bernoulli distribution can be used to study a random variableX representing the outcome of an experiment that succeeds, {X = 1}, with probability p or fails, {X = 0}, with probability (1 − p).