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@jemoka / Jemoka Knowledge Base / raw/concept/kbhnormal_random_variable.md
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--- title: "normal random variable" source: https://www.jemoka.com/posts/kbhnormal_random_variable/ --- normal random variable is a continuous random variable that allows you to manually specify the expectation and variance constituents \(\mu\) the mean \(\sigma\) the variance requirements \begin{equation} X \sim \mathcal{N}(\mu, \sigma^{2}) \end{equation} PDF: \begin{equation} f(x) = \frac{1}{\sigma \sqrt{2 \pi}} e^{-\frac{(x-\mu)^{2}}{2 \sigma^{2}}} \end{equation} additional information normal maximizes entropy no other random variable uses as little parameters to convey as much information