make to approximate things that are almost independent in the real world questions so far yes mm-hmm so typically the way you would do it is this typically what you'd be given is from a previous calculation maybe or just given would be this thing here which is the prior over X of PI over X given Z you'd be given a model of how X and Z in this case are just X in that case cos Y that's your sensor calibration model for example and that together allows you to compute this product for every possible value of X because we're conditioning on Z a