I think psychologists place far too much emphasis on cultural conditioning as a determinative factor in this sort of decision. If it’s a function of simple observation, it isn’t a stereotype. If I see ten male cops and one female, and someone asks me the same question, I’m going to guess that the unknown cop is a male, not because I’m making a sexist assumption that all cops have to be male but because most of them actually are.
Almost all of the new doctors on staff at my hospital are women. I’m hoping my son goes to nursing school. I must really be messed up.