Some university DOES have real police department in their department. One of them is RIT. RIT no longer handles criminals on campus, one commits crime on RIT property will go though town of Henrietta court, county sheriff will take care of them. They still have campus safety, solely for parking issue, and other minor offense. Beyond that Safety officer will contact Sheriff to come down and handle them. There is Sheriff office on RIT campus if I remember correctly.
What happened was few years ago where two guys actually planned attack RIT campus, they got plenty of assault rifles, ammo, and other stuff I can't recall. They were caught before they commit another "VA tech incident" at RIT (Two guys busted at RIT inn nearby) so it never happened. After that incident, RIT decided let Monroe County Sheriff take over Campus safety and they have increased security there.
Just found out, these two guys were cleared and had permit but RIT still believes they are guilty, all because of fresh memory of VA tech massacre. Oh well.