---
title: 隨機變數 (Random Variable)
description: 
published: true
date: 2025-12-28T16:58:42.847Z
tags: 
editor: markdown
dateCreated: 2025-12-28T16:41:51.938Z
---

## Discrete

### Probability Mass Function (PMF)

A set of probability value **p~i~** assigned to each of the values taken by the discrete random variables **x~i~**.

$0 \leq p_i \leq 1$ and $\sum_{p_i} = 1$

Probability
$P(X=x)=p_i$

### Cumulative Distribution Function (CDF)

## Continuous

### Probability Density Function (PDF)

### Cumulative Distribution Function (CDF)