# Probability Distribution¶

## Overview¶

In probability theory and statistics, a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment. In more technical terms, the probability distribution is a description of a random phenomenon in terms of the probabilities of events (from wiki). Here, probability distributions implement probability density function (PDF), probability mass funciton (PMF), cumulative distribution function (CDF), and inverse cumulative distribution function (ICDF). The detail are listed below.

.._Bernoulli ref: https://en.wikipedia.org/wiki/Bernoulli_distribution

.._Binomial ref: https://en.wikipedia.org/wiki/Binomial_distribution

.._Normal ref: https://en.wikipedia.org/wiki/Log-normal_distribution

.._Lognormal ref: https://en.wikipedia.org/wiki/Log-normal_distribution

.._Poisson ref https://en.wikipedia.org/wiki/Poisson_distribution

.._Gamma ref: https://en.wikipedia.org/wiki/Gamma_distribution