This reminds of a coworker of mine who ran out of gas driving a client in her Chevy something (older model). I remember her response was, "I really thought I had AT LEAST a gallon of gas left."
I personally wouldn't drive around with that little gas in the tank (I fill between a quarter and a third), but I think others have complained of the distance to empty meter being off. Mine is off too, but not in the same way as yours. Mine will say 120 miles when I have half a tank. I'll drive for 100 miles and it will say that I have 60 miles left. Never bothered to bring it in for this.