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(Requires Calculus

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(Requires calculus. )Let Y be a Bernoulli random variable with success probability Pr(Y = 1)= p.It can be shown that the variance of the success probability p is (Requires calculus. )Let Y be a Bernoulli random variable with success probability Pr(Y = 1)= p.It can be shown that the variance of the success probability p is   .Use calculus to show that this variance is maximized for p = 0.5. .Use calculus to show that this variance is maximized for p = 0.5.

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