Statistics — Distributions of Discrete random variables

In this article, we would like to introduce three main kinds of distributions of discrete random variables, these are the Bernoulli distribution, the Binomial distribution and the Poisson distribution. We will give each definitions, examples and also the basic properties of the distributions.

— wikiHow
  • A student takes an exam with the probability 80% to pass: X=1 if passes, X=0 if fails, then X follows a Bernoulli distribution with the probability of success equals 0.8.
  • A visitor of a website clicks on an ad with probability 2%: X=1 if clicks, X=0 if not, then X follows a Bernoulli distribution with the probability of success equals 0.02.
Conditions for Poisson Distribution — Brilliant.org

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