I do not know how properly establish the problem in words, I will show it in equations. $$ \int f_{Y|X}(y|x) dx = \int \frac{f_{X,Y}(x,y)}{f_X(x)} dx $$ where $ f_{Y|X}(y|x) $ is conditional probability. I suppose that it should integral to marginal on conditioning on x. Is some easy way to show it integrating right side of equation? Do I think properly? If yes, is some formal name for it?
2026-03-27 07:47:08.1774597628
Integral of multivariate probability function divided by its marginal?
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