The FBI just released their profile of active shooters: https://www.fbi.gov/file-repository/pre-attack-behaviors-of-active-shooters-in-us-2000-2013.pdf/view
The FBI: "There were very few demographic patterns or trends (aside from gender), reinforcing the concept there is no one profile of an active shooter."
Also the FBI: https://counter.social/media/9nctacWHbM76wdDhQ8g