• Entry
  • Reader's guide
  • Entries A-Z
  • Subject index

Bernoulli Distribution

The Bernoulli distribution is the range of probabilities for two possible outcomes. It is a central statistical concept. This entry describes the Bernoulli distribution and Bernoulli random variables and explains the relationship between the Bernoulli distribution and the binomial distribution.

Suppose a random experiment has two possible outcomes, either success or failure, where the probability of success is p and probability of failure is q = 1 − p. Such an experiment is called a Bernoulli experiment or Bernoulli trial. For a Bernoulli experiment, define a real-valued random variable X which takes two values as: X = 1 if success and X = 0 if failure. Such a random variable X is called a Bernoulli random variable. The probability distribution of X is given by Pr(X ...

    • Loading...
    locked icon

    Sign in to access this content

    Get a 30 day FREE TRIAL

    • Watch videos from a variety of sources bringing classroom topics to life
    • Read modern, diverse business cases
    • Explore hundreds of books and reference titles