# Math Help - binomial distribution maximization

1. ## binomial distribution maximization

Show that the variance np(1-p) of a binomial distribution is maximized when p = 1/2.

2. Originally Posted by lord12
Show that the variance np(1-p) of a binomial distribution is maximized when p = 1/2.
Consider the function $y = np(1-p)$. It's a parabola. Can you find the p-coordinate of it's maximum turning point?