Would questions on probabilistic robotics be appropriate here or better suited for a different StackExchange site like
I have some questions on the theories but also on setting up the sensors and range finders.
If a question is essentially a robotics question then it is welcome here, even if it is also on topic for aother site. You are correct though that some types of questions might be better placed on other sites.
Having said that, we do already have a variety of questions with the tags kalman-filter, slam and particle-filter, so there are already experts here who are interested in the kinds of topics that the book Probabilistic Robotics covers.