Suppose (mathbf{x} sim M N(n, boldsymbol{pi})) follows a multinomial distribution of size (n) and probability (pi). Derive

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Suppose \(\mathbf{x} \sim M N(n, \boldsymbol{\pi})\) follows a multinomial distribution of size \(n\) and probability \(\pi\). Derive the variance matrix of \(\mathbf{x}\).

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