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lets say that X is some random variable that takes +1 if rational otherwise -1. at http://tutorial.math.lamar.edu/Classes/CalcI/TheLimit.aspx in example 4, can we consider g(x) as a random variable because it's behaviour is same, right?
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@amistre64 any clue?
is random variable really random or just function?
I would say a random variable is really random. There are pseudo random number generators used in computer code that are functions, and return the exact same "random" numbers (if started with the same seed). But a "real" random variable takes its value from some distribution and that is the limit of our knowledge.
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