Now why would crime happen in nice, affluent neighborhoods?
Because the people who live there tend to have the nicest stuff to steal.
Formerly known as fiddletown
And the most money in the ATM machine that one home invader will drive you to while the other holds your family hostage---just before you are murdered.
Also, there are a large number of robberies that involve following people home and either robbing them in their driveways or forcing their way into the home. All it takes is a nice looking car to demonstrate your upper level social status, and get the wrong peoples' attention. Don't underestimate the robberies that occur in this manner.