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docs: update education/statistics/random-variable

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phidias
2025-12-28 17:02:16 +00:00
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education/statistics/random-variable.md
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@@ -2,7 +2,7 @@
title: 隨機變數 (Random Variable) title: 隨機變數 (Random Variable)
description: description:
published: true published: true
date: 2025-12-28T16:58:42.847Z date: 2025-12-28T17:02:16.122Z
tags: tags:
editor: markdown editor: markdown
dateCreated: 2025-12-28T16:41:51.938Z 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 $\sum_{p_i} = 1$ $0 \leq p_i \leq 1$ and $\sum_{p_i} = 1$
Probability Probability
$P(X=x)=p_i$ $P(X = x) = p_i$
### Cumulative Distribution Function (CDF) ### Cumulative Distribution Function (CDF)
$F(X) = P(X \leq x)$
$F(X) = \sum_{y : y \leq x} P(X = y)$
## Continuous ## Continuous
### Probability Density Function (PDF) ### Probability Density Function (PDF)