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@jemoka / Jemoka Knowledge Base / raw/concept/kbhgeometric_random_variable.md
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--- title: "geometric distribution" source: https://www.jemoka.com/posts/kbhgeometric_random_variable/ --- how many times do you have to do the trial to get at least one success constituents \(p\) is the probability of one individual success \(x\) is the number of trials requirements \begin{equation} P(X = x) = \qty(1-p)^{x-1} p \end{equation} which represents the probability of getting a success on the \(x\) trial additional information \begin{equation} \mathbb{E}[X] = \frac{1}{p} \end{equation}