docs: update education/statistics/random-variable
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title: 隨機變數 (Random Variable)
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description:
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published: true
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date: 2025-12-28T19:48:23.319Z
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date: 2025-12-28T19:56:49.760Z
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tags:
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editor: ckeditor
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dateCreated: 2025-12-28T16:41:51.938Z
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@@ -46,7 +46,7 @@ dateCreated: 2025-12-28T16:41:51.938Z
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<p><span style="font-family:Arial, Helvetica, sans-serif;">That is, </span></p>
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<figure class="image"><img src="data:image/png;base64,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 truncated
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<p> </p>
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<p> </p>
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<h2><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Distribution Function</strong></span></h2>
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<figure class="table">
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<table>
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<tbody>
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