Files
wiki/education/statistics/random-variable.md

59 lines
1.1 KiB
Markdown

---
title: 隨機變數 (Random Variable)
description:
published: true
date: 2025-12-28T17:19:30.971Z
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~**.
and
Probability
Expectation
### Cumulative Distribution Function (CDF)
## Continuous
### Probability Density Function (PDF)
Probabilistic properties of a continuous random variable.
Expectation
### Cumulative Distribution Function (CDF)
### Symmetric
If there is a point that,
Then,
Is the expectation of this random variable, equal to the point of symmetry.
### Median and Quantiles
The middle value of the random variable.
For median, set p to 0.5.
### Variance
A positive quantity that measures the spread of the distribution of the random variable about its mean value.
Larger values of the variance indicate that the distribution is more spread out.
Missing superscript or subscript argument