Question: Please help Task 5 (Independent random variables) (-) Let X and Y be independent random variables. Let f, g : R - R be Borel-measurable

Please help

Task 5 (Independent random variables) (-) Let X and Y be independent random variables. Let f, g : R - R be Borel-measurable functions, meaning that f (A) ( B(R), g '(C) ( B(R) for any A, C E B(R). Show that the random variables f(X) and g(Y ) are independent

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