Fought Experiment: Lets say law enforcement was given the task to examine the affairs of 100, randomly selected, poor/medium income households and 100, randomly selected, very wealthy households. Statistically, where would they find the most amount of criminal activity? Has any similar research been done, and would you care to share the data?
For your thought experiment, you would have to have an universal definition of what's legal. While that may be hard to come by, I have it on good authority that one of it's most strident claims is: "Retaining more wealth than 80% of citizens is a capital offense."