Bernoulli Distribution (Noun)
Meaning
A theoretical distribution of the number of successes in a finite set of independent trials with a constant probability of success.
Classification
Nouns denoting cognitive processes and contents.
Examples
- In probability theory, the Bernoulli distribution models the outcome of a single trial with two possible outcomes, where the probability of success is denoted by p.
- The Bernoulli distribution is an important concept in statistics, applied to situations where a fixed probability exists for each trial, such as coin tossing.
- A random variable that follows a Bernoulli distribution can have only two possible outcomes, which can be labeled as success and failure.
- In real-world applications, the Bernoulli distribution can be used to model the outcome of clinical trials, quality control inspection, and electronic manufacturing processes.
- Data that follow the Bernoulli distribution have a particular probability mass function and are often used as models in a wide variety of statistical applications.