Question

How do you apply Bayes' theorem to continuous random variables?

Answer 1

The same for events

Explanation:

The same for events

For events
`p(B|A)=(P(B)P(A|B))/(P(A))`

For two continuous random Variables

`f_X(x|Y=y)=(f_X(x)f_X(x|Y=y))/(f_Y(y))`