Random variable: Difference between revisions

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make it clear that our random variables are real-valued, unless otherwise specified
... to generate a random result.
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We can think of a '''random variable''' as athe numeric result of operating a non-deterministic mechanism or performing a non-deterministic experiment to generate a [[random]] result. For example, rolling a die and recording the outcome yields a random variable with range {1,2,3,4,5,6}. Picking a random person and measuring their height yields another random variable.
 
Mathematically, a random variable is defined as a [[measurable function]] from a [[probability space]] to some [[measurable space]].