Random variable

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random variable

(
Or variate.) A variable characterized by random behavior in assuming its different possible values.

Mathematically, it is described by its probability distribution, which specifies the possible values of a random variable together with the probability associated (in an appropriate sense) with each value. A random variable is said to be continuous if its possible values extend over a continuum, discrete if its possible values are separated by finite intervals.
See probability theory, statistical independence.