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For skewness, take the limit of the skewness result above
\begin{equation*} \lim_{n \rightarrow \infty} \frac{n(2p-1)(p-1)p}{(-n(p1)p)^{3/2}} = \lim_{n \rightarrow \infty} C \frac{n}{n^{3/2}} = 0. \end{equation*}
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