Bernoulli distribution
Definition taught in Random variables and distributions, part of Probability
Bernoulli distribution
| Type | Definition |
| Taught in | Random variables and distributions |
| Part | Probability |
| Questions using it | 2 |
X has the Bernoulli distribution with success probability p\in[0,1], written X\sim\operatorname{Bern}(p), when \mathbb{P}(X=1)=p and \mathbb{P}(X=0)=1-p. Then \mathbb{E} X=p and \operatorname{Var}(X)=p(1-p).
Used in
- Taught in Random variables and distributions, where the derivation and examples are.
- Also used in Simulation · Functions of random variables and limit theorems · Stochastic processes · Estimation · Categorical data and the Dirichlet distribution · Introduction to generalised linear models
- Questions that use it (2) — Home-ground wins · Question 21 (answer)
- All 27 questions on Random variables and distributions
See also
Categorical and multinomial models · Random variable · Cumulative distribution function · Discrete distribution · Continuous distribution · Expectation · Expectation of a function · Variance