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<html lang="en-US" dir="ltr">
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</head>
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<body class="ignore-math">
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<article class="theorem theorem-like"><h3 class="heading">
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<span class="type">Theorem</span><span class="space heading-divison-mark heading-divison-mark__space"> </span><span class="codenumber">3.2.2</span><span class="period heading-divison-mark heading-divison-mark__period">.</span>
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</h3>
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<div class="para logical">
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<div class="para">Let <span class="process-math">\(X\)</span> be a random variable. Then:</div>
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<div class="displaymath process-math">
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\begin{gather*}
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\Var(X) = \E\left(X^2\right) - \left(\E(X)\right)^2.
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\end{gather*}
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</div>
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<div class="autopermalink" data-description="Paragraph"><a href="#thm-variance-formula-1-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
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</div>
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<div class="autopermalink" data-description="Theorem 3.2.2"><a href="#thm-variance-formula" title="Copy heading and permalink for Theorem 3.2.2" aria-label="Copy heading and permalink for Theorem 3.2.2">🔗</a></div></article><span class="incontext"><a class="internal" href="sec-Variance.html#thm-variance-formula">in-context</a></span>
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</body>
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