Question: Let be a continuous distribution function. If U is uniformly distributed on (0, 1), find the distribution function of Y = F -1 (U), where

Let be a continuous distribution function. If U is uniformly distributed on (0, 1), find the distribution function of Y = F^-1(U), where F^-1 is the inverse function of F. (That is, y = F-1(x) if F(y) = x.)

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