"Devel::Cover could be just as useful, although, strictly speaking, it doesn't serve as a tool for statistical analysis."

I would say that, nevertheless, Devel::Cover provides a very easy solution to what the OP is asking for, whereas statistical analysis of the coverage would be something else entirely. Also, it is extremely difficult to provide a meaning to the latter, because randomness is not easily or usefully defined for input data, unless it is functionally random, e.g. noise.