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3. Suppose that n students are selected at random without replacement from a class containing T students, of whom
A are boys and T-A are girls. Let X denote the mumber of boys that are obtained. For what sample size n will
the variance of X, Var(X), be a maximum?
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3. Suppose that n students are selected at random without replacement from a class containing T students, of whom A are boys and T-A are girls. Let X denote the mumber of boys that are obtained. For what sample size n will the variance of X, Var(X), be a maximum?

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