Consider the following problem. The probability of being born in countries [1,2,3,4] is given by [a, b, c, d] respectively. This is a categorical problem.
Now, assume that the height of a person belonging to any country is normally distributed.
The task is to sample from the total distribution of countries and heights,
$ p(c,h) = p(c)p(h|c) $
One can use a mixed distribution as a tool to model these scenarios, which are a special type of DGM.
Can someone please tell me where ML comes into play here, and how this is considered an ML technique?