We've all heard those odd sexist wives' tales that place men and women into arbitrary categories of ability. Women are better at taking care of children, men are better leaders, women are better at cooking, bla bla bla.
Since every individual human being is unique in their life experiences and skills, X or Y chromosomes really can't dictate anything above or beyond abilities at a biological level (giving birth, fertilizing eggs, predisposition for certain illnesses, etc.)