From b0227674d2e6253b645b4af262296cca88d191b5 Mon Sep 17 00:00:00 2001 From: phidias Date: Sun, 28 Dec 2025 19:47:44 +0000 Subject: [PATCH] docs: update education/statistics/random-variable --- education/statistics/random-variable.html | 43 ++++++++++++++++++++--- 1 file changed, 38 insertions(+), 5 deletions(-) diff --git a/education/statistics/random-variable.html b/education/statistics/random-variable.html index 6c689db..1f945b3 100644 --- a/education/statistics/random-variable.html +++ b/education/statistics/random-variable.html @@ -2,7 +2,7 @@ title: 隨機變數 (Random Variable) description: published: true -date: 2025-12-28T19:45:37.395Z +date: 2025-12-28T19:47:43.526Z tags: editor: ckeditor dateCreated: 2025-12-28T16:41:51.938Z @@ -24,6 +24,13 @@ dateCreated: 2025-12-28T16:41:51.938Z

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.

 

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Covariance

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Independent random variables have a covariance of zero.

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@@ -34,7 +41,10 @@ dateCreated: 2025-12-28T16:41:51.938Z - + - + - + @@ -97,7 +113,10 @@ dateCreated: 2025-12-28T16:41:51.938Z - + @@ -105,6 +124,20 @@ dateCreated: 2025-12-28T16:41:51.938Z
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Continuous
Probability

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

Probability

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

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Probability Mass Function (PMF)

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Cumulative

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

Cumulative

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

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Marginal Probability

Obtained by summing or integrating the joint probability distribution over the values of the other random variable.		 +

Marginal Probability

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Obtained by summing or integrating the joint probability distribution over the values of the other random variable.

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Conditional Probability

The probabilistic properties of the random variable X under the knowledge provided by the value of Y.		 +

Conditional Probability

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The probabilistic properties of the random variable X under the knowledge provided by the value of Y.

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Independence

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Two random variables X and Y are said to be independent if:

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for all values i of X and j of Y.

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for all X and Y.

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