/sci/ - Science & Math

I don't know anything about math so question about integrals in picture.

So my understanding there is a plane wave in here.

This article here:

https://en.m.wikipedia.org/wiki/Conditional_probability_distribution

has picture example of "bivariate joint distribution" in the second section on "conditional continuous distributions".

Now I know that the image in this post is not about probabilities, but my question is whether the plane wave is analogous to how they talk about conditional probability distribution in the picture in the link (yes, they use word plane there which is unrelated and coincidental).

Then this integral thing in image is telling you to sum all of the plane waves from all different points it is conditioned on (which not same as probability sum yes but the plane wave itself is going to be related to conditional probability since all the points on it are equal like equal probability distribution?)

So just question is if my intuition here is correct or way off.

I don't know anything about math so question about integrals in picture.

So my understanding there is a plane wave in here.

This article here has picture example of "bivariate joint distribution" in the second section on "conditional continuous distributions".

Now I know that the image is not about probabilities, but my question is whether the plane wave is analogous to how they talk about conditional probability distribution in that picture (yes, they use word plane there which is unrelated and coincidental).

Then this integral thing in image is telling you to sum all of the plane waves from all different points it is conditioned on (which not same as probability sum yes but the plane wave itself is obvious related to conditional probability since all the points on it are equal like equal probability distribution?)

So just question is if my intuition here is correct or way off.