16. RThe sample space of an experiment is S = (0, 1), and for every subset A...

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16. RThe sample space of an experiment is S = (0, 1), and for every subset A of S, P(A) =

A dx. Let X be a random variable defined on S by X(ω) = 5ω −1. Prove that X is a uniform random variable over the interval (−1, 4).

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