# Binomial Random Variable

(Redirected from binary random variable)

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A Binomial Random Variable is a categorical random variable that can take two RV values.

**AKA:**Binary/Boolean/Bernoulli RV.**Context:**- Input: a Non-Negative Integer (for the number of Trials).
- Output: a Non-Negative Integer (for the number of Successes).
- It can (typically represents a Binomial Process (such as a coin toss).
- It can be represented by a Binary Probability Function.
- It can range from being a Boolean Random Variable (true, false) to being (an Ordinal Binary Random Variable (such as 1, -1).

**Example(s):***X*(10)=0.*X*(10)=5.- One that describes the event that John has cancer which can take a value of 1 (John has cancer) or 0 (John does not have cancer).
- …

**Counter-Example(s):****See:**Binary Dependent Variable, Binary Outcome, Binary Target Attribute, Probabilistic Reasoning, Probabilistic Inference.

## References

### 2014

- http://deepdive.stanford.edu/inference
- QUOTE: Probabilistic inference is the task of deriving the probability of one or more random variables taking a specific value or set of values. For example, a Bernoulli (Boolean) random variable may describe the event that John has cancer. Such a variable could take a value of 1 (John has cancer) or 0 (John does not have cancer). DeepDive uses probabilistic inference to estimate the probability that the random variable takes value 1: a probability of 0.78 would mean that John is 78% likely to have cancer.