Independence of sample mean and sample variance in binomial distribution – stats.stackexchange.com

Independence of sample mean and sample variance in binomial distribution – stats.stackexchange.com

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Let $X\sim\mathrm{Binomial}(n,p)$. We know that $\mathrm{E}[X]=np$ and $\mathrm{Var}[X]=np(1-p)$. Does this imply that the sample mean $\bar x$ and the sample variance $s^2$ are dependent of each ...

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