A Gentle Introduction to Probability Distributions

Last Updated on November 14, 2019

Probability can be used for more than calculating the likelihood of one event; it can summarize the likelihood of all possible outcomes.

A thing of interest in probability is called a random variable, and the relationship between each possible outcome for a random variable and their probabilities is called a probability distribution.

Probability distributions are an important foundational concept in probability and the names and shapes of common probability distributions will be familiar. The structure and type of the probability distribution varies based on the properties of the random variable, such as continuous or discrete, and this, in turn, impacts how the distribution might be summarized or how to calculate the most likely outcome and its probability.

In this post, you will discover a gentle introduction to probability distributions.

After reading this post, you will know:

  • Random variables in probability have a defined domain and can be continuous or discrete.
  • Probability distributions summarize the relationship between possible values and their probability for a random variable.
  • Probability density or mass functions map values to probabilities and cumulative distribution functions map outcomes less than or equal to a value to a probability.

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