ABSTRACT

It is possible to obtain, for any binomial distribution, the mean number of successes, their variance and standard deviation, using the following formulae:

µ = E(X ) = n × p σ 2 = VAR(X ) = n × p × (1 − p)

σ = np p( )1 −

where X is a random variable with a binomial distribution, n is the total number of Bernoulli trials, and p is the probability of occurrence of a success on each trial.