If this were true then:Originally Posted by ThePerfectHacker
But it seems to me that .
Then proof for all
And also prove for
I once asked someone this question and they said it looks like the Beta Function, thus maybe that will help.
If you are curious how I came to such a conjecture is because I was trying to describe a mathematical formula for the Normal Distribution and these two:
where is the probability.
Graph curves which look like the Normal Distribution, furthermore the second one is a density curve this is why its Area is one.
CaptainBlack, Graph it and take its integral after that. Maybe, I am making a mistake in the way I posed the problem. Or perhaps, I made a mistake in the domain of the function. Anyways, would you confirm that these two functions look like the normal distribution curve?
I would check it but I "borrowed" someone else's computer and it does not have a graphing program.
IIRCOriginally Posted by ThePerfectHacker
with and positive integers is the probability of successes in
trials, where is the probability of success in a single trial.. This is the binomial
distribution and is well know to approximate the normal distribution (in a
rather peculiar sense of approximate) for large