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The concept is pretty simple: to generate a random sample X with CDF, you can take Y from a uniform distribution and transform it via X = invCDF(Y).
I think the intro should be much more concise, and clearly get to the point. I shouldn't need to dig through the article for 2 minutes to figure out how inverse transform sampling works. <!-- Template:Unsigned --><span class="autosigned" style="font-size:85%;">— Preceding [[Wikipedia:Signatures|unsigned]] comment added by [[User:Azmisov|Azmisov]] ([[User talk:Azmisov#top|talk]] • [[Special:Contributions/Azmisov|contribs]]) 20:04, 21 December 2021 (UTC)</span> <!--Autosigned by SineBot-->
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