diff --git a/education/statistics/random-variable.md b/education/statistics/random-variable.md index 7257eb3..0eff42c 100644 --- a/education/statistics/random-variable.md +++ b/education/statistics/random-variable.md @@ -2,7 +2,7 @@ title: 隨機變數 (Random Variable) description: published: true -date: 2025-12-28T16:58:42.847Z +date: 2025-12-28T17:02:16.122Z tags: editor: markdown dateCreated: 2025-12-28T16:41:51.938Z @@ -17,10 +17,13 @@ A set of probability value **p~i~** assigned to each of the values taken by the $0 \leq p_i \leq 1$ and $\sum_{p_i} = 1$ Probability -$P(X=x)=p_i$ +$P(X = x) = p_i$ ### Cumulative Distribution Function (CDF) +$F(X) = P(X \leq x)$ +$F(X) = \sum_{y : y \leq x} P(X = y)$ + ## Continuous ### Probability Density Function (PDF)