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phidias
7df1ef92d2 docs: update education/statistics 2026-02-11 14:05:51 +00:00
phidias
9b10520951 docs: update education/statistics 2026-02-11 14:05:47 +00:00
phidias
7b874c6428 docs: rename education/statistics/multivariate-distribution to education/statistics/2 2026-02-11 14:05:14 +00:00
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38f262adb4 docs: update education/statistics/multivariate-distribution 2026-02-11 14:05:13 +00:00
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57ca577945 docs: rename education/statistics/random-variable to education/statistics/1 2026-02-11 14:05:00 +00:00
phidias
73e82efdff docs: update education/statistics/random-variable 2026-02-11 14:05:00 +00:00
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9b586dc277 docs: update education/statistics/multivariate-distribution 2026-02-11 14:04:35 +00:00
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44bf1a7a43 docs: create education/statistics/multivariate-distribution 2026-02-11 14:03:51 +00:00
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education/statistics.html
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title: 統計學 (Statistics)
description:
published: true
date: 2025-12-30T16:15:49.815Z
date: 2026-02-11T14:05:50.898Z
tags:
editor: ckeditor
dateCreated: 2025-12-28T16:12:11.597Z
@@ -15,7 +15,13 @@ dateCreated: 2025-12-28T16:12:11.597Z
<td style="text-align:center;width:300px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>名稱</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Name</strong></span></td>
</tr>
<tr>
<td style="text-align:center;"><a href="/education/statistics/random-variable"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>隨機變數</strong></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Random Variable</strong></span></td>
<td style="text-align:center;"><a href="/education/statistics/1"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>1</strong></span></a></td>
</tr>
<tr>
<td style="text-align:center;"><a href="/education/statistics/2"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>2</strong></span></a></td>
</tr>
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<td style="text-align:center;"><a href="/education/statistics/3"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>3</strong></span></a></td>
</tr>
</tbody>
</table>

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<!--
title: 隨機變數 (Random Variable)
title: 1
description:
published: true
date: 2025-12-29T05:56:48.006Z
date: 2026-02-11T14:04:59.584Z
tags:
editor: ckeditor
dateCreated: 2025-12-28T16:41:51.938Z

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<!--
title: 2
description:
published: true
date: 2026-02-11T14:05:13.357Z
tags:
editor: ckeditor
dateCreated: 2026-02-11T14:03:50.863Z
-->
<h2><span style="font-family:Arial, Helvetica, sans-serif;">General</span></h2>
<h3><span style="font-family:Arial, Helvetica, sans-serif;">Symmetric</span></h3>
<p><span style="font-family:Arial, Helvetica, sans-serif;">If there is a point that,</span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Then,</span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Is the expectation of this random variable, equal to the point of symmetry.</span></p>
<p>&nbsp;</p>
<h3><span style="font-family:Arial, Helvetica, sans-serif;">Median and Quantiles</span></h3>
<p><span style="font-family:Arial, Helvetica, sans-serif;">The middle value of the random variable.</span><br><span style="font-family:Arial, Helvetica, sans-serif;">For median, set <strong>p</strong> to <strong>0.5</strong>.</span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p>&nbsp;</p>