docs: update education/statistics/random-variable
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title: 隨機變數 (Random Variable)
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title: 隨機變數 (Random Variable)
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description:
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description:
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published: true
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published: true
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date: 2025-12-28T17:33:35.543Z
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date: 2025-12-28T17:34:08.898Z
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tags:
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tags:
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editor: ckeditor
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editor: ckeditor
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dateCreated: 2025-12-28T16:41:51.938Z
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dateCreated: 2025-12-28T16:41:51.938Z
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<h3><span style="font-family:Arial, Helvetica, sans-serif;">Probability Mass Function (PMF)</span></h3>
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<h3><span style="font-family:Arial, Helvetica, sans-serif;">Probability Mass Function (PMF)</span></h3>
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<p><span style="font-family:Arial, Helvetica, sans-serif;">A set of probability value <strong>p<sub>i</sub></strong> assigned to each of the values taken by the discrete random variables <strong>x<sub>i</sub></strong>.</span></p>
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<p><span style="font-family:Arial, Helvetica, sans-serif;">A set of probability value <strong>p<sub>i</sub></strong> assigned to each of the values taken by the discrete random variables <strong>x<sub>i</sub></strong>.</span></p>
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<p><strong>0 ≤ p<sub>i</sub> ≤ 1 and ∑ p<sub>i</sub> = 1</strong></p>
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<p><strong>0 ≤ p<sub>i</sub> ≤ 1 and ∑ p<sub>i</sub> = 1</strong></p>
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<p><span style="font-family:Arial, Helvetica, sans-serif;">Probability</span><br>$p_i$</p>
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<p><span style="font-family:Arial, Helvetica, sans-serif;">Probability</span><br> </p>
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<p><span style="font-family:Arial, Helvetica, sans-serif;">Expectation</span><br> </p>
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<p><span style="font-family:Arial, Helvetica, sans-serif;">Expectation</span><br> </p>
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<h3><span style="font-family:Arial, Helvetica, sans-serif;">Cumulative Distribution Function (CDF)</span></h3>
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<h3><span style="font-family:Arial, Helvetica, sans-serif;">Cumulative Distribution Function (CDF)</span></h3>
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<p><br> </p>
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<p><br> </p>
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