SkyDog
Chieftain
Keep in mind that the events aren't completely "random." A number of them are tied to style of play. I almost always get the free market boost and a bunch of religious weddings that boost relations, but those don't happen if you don't play in certain ways. If you get the dice roll that gives you a random event on a given turn, and play in a way that you don't have many preconditions set for positive event types to occur, you'll get a large disparity titled toward the negative. I can't say for certain, but it definitely feels like overall, random events are usually a slight boost for my civs. *shurg*