Inverse transform sampling: Difference between revisions

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#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 an invertible distribution function ''F'', the random variable <math>''X'' = ''F^{-''<sup>&nbsp;&minus;1}(U)</mathsup>(''U'') has distribution ''F'' (or, ''X'' is distributed ''F'').
 
==Proof of correctness==