Explanation : The normal distribution is undoubtedly the most important probability distribution in statistics. Not far behind, however, is the
binomial d istribution. Th e binom ial distribution is a discrete distribution that can occur in two situations: (1) when sampling from a population with only two types of members (males and females, for example), and (2) when performing a sequence of identical experiments, each of which has only two possible outcomes.
Assumptions of the Binomial Distribution:
> The experiment involves n identical trials.
> Each trial has only two possible outcomes denoted as success or as failure.
> Each trial is independent of the previous trials.
> The terms p and q remain constant throughout the experiment, where the term p is the probability of getting a success on
any one trial and the term q = (1 – p) is the probability of getting a failure on any one trial.