Let (X) be a (mathrm{N}left(mu, sigma^{2}ight)) random variable. Using the moment generating function, derive the first three

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Let \(X\) be a \(\mathrm{N}\left(\mu, \sigma^{2}ight)\) random variable. Using the moment generating function, derive the first three moments of \(X\). Repeat the process using the characteristic function.

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