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    $\begingroup$ AFAIK, there is no place in machine learning for applying the concept of a random variable to data, because few ML procedures (if any) are based on probabilistic models of data. (There's certainly scope within an ML framework to use random variables to do things like cross-validate predictions, but that's entirely different.) Arguably, if you are creating or applying procedures in which you model your data with random variables, you're doing statistical analysis :-). $\endgroup$ Commented Jan 3, 2019 at 20:31