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A random variable (also called random quantity, aleatory variable, or stochastic variable) is a mathematical formalization of a quantity or object which depends on random events. The term 'random variable' in its mathematical definition refers to neither randomness nor variability but instead is a mathematical function in which
Definition, Examples & Functions of random variables
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random displaystyle variable probability distribution variables function space functions values continuous numbers real set real-valued omega discrete example possible value
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Random variable | is a | subset of the real numbers.Informally | 0.90 | text |
| Random variable | is a | probability distribution that allows the computation of the probability that the height is in any subset of possible values | 0.90 | text |
| Random variable | is a | random variable whose cumulative distribution function is continuous everywhere | 0.90 | text |
| Random variable | is a | random variable whose cumulative distribution function is neither discrete nor everywhere-continuous | 0.90 | text |
| Random variable | is a | measurable function | 0.90 | text |
| X | instance of | A random variable is often denoted by capital Roman letters | 0.80 | text |
| Y | instance of | A random variable is often denoted by capital Roman letters | 0.80 | text |
| Z | instance of | A random variable is often denoted by capital Roman letters | 0.80 | text |
| T | instance of | A random variable is often denoted by capital Roman letters | 0.80 | text |
| the expected value | instance of | the structure of the real numbers makes it possible to define quantities | 0.80 | text |
| variance of a random variable | instance of | the structure of the real numbers makes it possible to define quantities | 0.80 | text |
| its cumulative distribution function | instance of | the structure of the real numbers makes it possible to define quantities | 0.80 | text |
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