MOMENTS OF RANDOM VARIABLES BASED ON BERNOULLI TRIALS

Abstract

In a set of n repeated Bernoulli trials where each trial results in an event E, the number of events materialized is a random variable. Even when the trials are not dependent, there do arise  situations where  it is tedious to find the probability distribution of this random variable. The paper expresses the moments of this random variable in terms of probabilities of particular events  providing  some of applications  of this result.