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@jemoka / Jemoka Knowledge Base / wiki/concepts/continuous_distribution.md
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--- title: "continuous distribution" type: concept source: https://www.jemoka.com/posts/kbhcontinuous_distribution/ confidence: high status: active --- This is a continuous distribution for which the probability can be quantified as: \begin{equation} p(x) \dd{x} \end{equation} You will note that, at any given exact point, the probability is \(\lim_{\dd{x} \to 0} p(x)\dd{x} = 0\). However, to get the actual probability, we take an integral over some range: \begin{equation} \int_{-\infty}^{\infty} p(x) \dd{x} = 1 \end{equation} See also cumulative distribution function which represents the chance of something happening up to a threshold.