Basing your "top half of females" behaviour on un-specified asumptions, failing to even hinting on what is "desirable" and then subjugating this model of society to some sort of statistical model was not my idea. nAgain not sure whether this was intentional or not or if I got your point wrong, after all we do not know each other.

But again, that is to much oversimplyfication for my taste. Especially when mathematics are applied without any relevant domain knowledge.