What do yo mean with 'parameters'?
An IFrame just uses an URL based on an attribute. So by changing the attribute that defines the URL, you can 'pass' 'parameters' to the IFrame.
Michel is right, you could pass parameters in your url, a deeplink, if your BI tool supports url parameters.
So your link http://reportingtoolbi/customer/225235/ can be used in your iframe, but your bi tool have recognize this. I've used something like this in the past. So passing parameters with a normal iframe should be possible.