Hello,

Looking to find the following analytically:

$\displaystyle P(p \le 0.5) = \frac{\int_{0}^{0.5}p^{550}(1-p)^{450}\, dp}{\int_{0}^{1}p^{550}(1-p)^{450}\, dp}$

Note that I've taken away the binomial coefficients on both numerator and denominator because they are the same and cancel out.

Anyone?

Thanks :)