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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 c (Y ). Suppose

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

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