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docs: update education/statistics/random-variable

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phidias
2025-12-28 17:12:39 +00:00
parent 4add841931
commit 13d703a5e1
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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: 2025-12-28T17:09:49.339Z date: 2025-12-28T17:12:39.067Z
tags: tags:
editor: markdown editor: markdown
dateCreated: 2025-12-28T16:41:51.938Z dateCreated: 2025-12-28T16:41:51.938Z
@@ -34,5 +34,6 @@ $\int f(x) \,dx\ = 1$
### Cumulative Distribution Function (CDF) ### Cumulative Distribution Function (CDF)
$F(X) = P(X \leq x) = \int_{-\infty}^{x} f(y) \,dy\\$ $F(X) = P(X \leq x) = \int_{-\infty}^{x} f(y) \,dy\\$
$f(X) = \frac{dF(x)}{dx}$
$P(a < x \leq b) = P(X \leq b) - P(X \leq a) = F(b) - F(a)$
$P(a < x \leq b) = P(a \leq x \leq b)$