Not fearing that the police will kill your child for no reason isn’t a privilege. It’s a right. But I think that is what “white privilege” is meant to convey, that whites don’t have many of the worries nonwhites, especially blacks, do. I was talking to a white friend of mine earlier today. He has always lived in the New York City area. He couldn’t see how the Michael Brown case had anything to do with him. I guess that would be an example of white privilege.
Of course, I don’t live in the U.S. anymore, but if I did, I don’t think my fear would be the police shooting my son (but maybe the All American psycho), and that is White Privilege.