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

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Probability Mass Function (PMF)

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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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and

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Probability
-

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Expectation
-

-

Cumulative Distribution Function (CDF)

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-

-

Continuous

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Probability Density Function (PDF)

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Probabilistic properties of a continuous random variable.

-

-

Expectation
-

-

Cumulative Distribution Function (CDF)

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-
-
-

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Symmetric

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If there is a point that,
-
-Then,
-
-Is the expectation of this random variable, equal to the point of symmetry.

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Median and Quantiles

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The middle value of the random variable.
-For median, set p to 0.5.
-

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Variance

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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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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.

+