If Y is a variate and c is a positive constant, then the standard deviation of the
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If Y is a variate and c is a positive constant, then the standard deviation of the distribution of cY equals cσ(Y ). Suppose Y is a binomial variate, and let p = Y/n.
a. √Based on the binomial standard deviation for Y , show that σ(p) =
[π(1 − π)/n].
b. Explain why it is easier to estimate π precisely when it is near 0 or 1 than when it is near 0.50.
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