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Math Help - binomial distribution maximization

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    binomial distribution maximization

    Show that the variance np(1-p) of a binomial distribution is maximized when p = 1/2.
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    Quote Originally Posted by lord12 View Post
    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?
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