# Category:Bernoulli Distribution

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This category contains results about the Bernoulli distribution.

Let $X$ be a discrete random variable on a probability space.

Then $X$ has the **Bernoulli distribution with parameter $p$** if and only if:

- $(1): \quad X$ has exactly two possible values, for example $\Img X = \set {a, b}$

- $(2): \quad \map \Pr {X = a} = p$

- $(3): \quad \map \Pr {X = b} = 1 - p$

where $0 \le p \le 1$.

## Subcategories

This category has the following 4 subcategories, out of 4 total.

### D

### E

### R

### V

## Pages in category "Bernoulli Distribution"

The following 16 pages are in this category, out of 16 total.

### B

- Bernoulli Process as Binomial Distribution
- Bernoulli Process as Geometric Distribution
- Bernoulli Process as Geometric Distribution/Shifted
- Bernoulli Process as Negative Binomial Distribution
- Bernoulli Process as Negative Binomial Distribution/First Form
- Bernoulli Process as Negative Binomial Distribution/Second Form
- Bernoulli Process as Shifted Geometric Distribution