I'm sorry, but this post is not a very good explanation. Here's why we should invert the CDF: > The issue is that if we flip x and y’s in a PDF, there would be

I'm sorry, but this post is not a very good explanation. Here's why we should invert the CDF: > The issue is that if we flip x and y’s in a PDF, there would be multiple y values corresponding to the same x. This isn’t true in a CDF. Surely there must be a better reason to invert the CDF than that it's possible? Any textbook will explain this much, much better.