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knowl/xref/thm-variance-formula.html
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<meta name="robots" content="noindex, nofollow">
</head>
<body class="ignore-math">
<article class="theorem theorem-like"><h3 class="heading">
<article class="theorem theorem-like"><h2 class="heading">
<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>
</h3>
</h2>
<div class="para logical">
<div class="para">Let <span class="process-math">\(X\)</span> be a random variable. Then:</div>
<div class="displaymath process-math">
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\Var(X) = \E\left(X^2\right) - \left(\E(X)\right)^2.
\end{gather*}
</div>
<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>
<div class="autopermalink" aria-hidden="true" data-description="Paragraph"><a tabindex="-1" href="#thm-variance-formula-1-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
</div>
<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>
<div class="autopermalink" aria-hidden="true" data-description="Theorem 3.2.2"><a tabindex="-1" 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>
</body>
</html>