From 59787f1d14c547081d9da9cf3e07749d41143f40 Mon Sep 17 00:00:00 2001 From: phidias Date: Sun, 28 Dec 2025 17:21:52 +0000 Subject: [PATCH] docs: update education/statistics/random-variable --- education/statistics/random-variable.html | 60 +++++++++-------------- 1 file changed, 23 insertions(+), 37 deletions(-) diff --git a/education/statistics/random-variable.html b/education/statistics/random-variable.html index 386975e..ae46d36 100644 --- a/education/statistics/random-variable.html +++ b/education/statistics/random-variable.html @@ -2,45 +2,31 @@ title: 隨機變數 (Random Variable) description: published: true -date: 2025-12-28T17:21:44.646Z +date: 2025-12-28T17:21:51.875Z tags: editor: ckeditor dateCreated: 2025-12-28T16:41:51.938Z --> -

Discrete

-

Probability Mass Function (PMF)

-

A set of probability value pi assigned to each of the values taken by the discrete random variables xi.

-

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

+

Discrete

+

Probability Mass Function (PMF)

+

A set of probability value pi assigned to each of the values taken by the discrete random variables xi.

+

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.

+