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#Compute the value ''x'' such that <math>F(x) = u</math>; call this ''x''<sub>chosen</sub>.
#Take ''x''<sub>chosen</sub> to be the random number drawn from the distribution described by ''F''.
Expressed differently, given a continuous uniform variable U in [0, 1] and a distribution function F, the random variable X = F<sup>-1</sup>(U) has distribution F (or, X is distributed F).
==Proof of correctness==
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