36 lines
2.1 KiB
HTML
Executable File
36 lines
2.1 KiB
HTML
Executable File
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<article class="definition definition-like"><h4 class="heading">
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<span class="type">Definition</span><span class="space heading-divison-mark heading-divison-mark__space"> </span><span class="codenumber">73</span><span class="period heading-divison-mark heading-divison-mark__period">.</span>
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</h4>
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<div class="para logical">
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<div class="para">Let <span class="process-math">\(X\)</span> be a discrete random variable taking values <span class="process-math">\(x_1, x_2, \dotsc, x_n\)</span> with probabilities <span class="process-math">\(p_1, p_2, \dotsc, p_n\text{.}\)</span> The <dfn class="terminology">expected value</dfn> of <span class="process-math">\(X\)</span> is:</div>
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<div class="displaymath process-math">
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\begin{gather*}
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\E(X) = \sum_{i=1}^n x_ip_i = x_1p_1 + x_2p_2 + \dotsb + x_np_n.
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\end{gather*}
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</div>
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<div class="autopermalink" data-description="Paragraph"><a href="#def-discrete-EV-1-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
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<div class="autopermalink" data-description="Definition 73"><a href="#def-discrete-EV" title="Copy heading and permalink for Definition 73" aria-label="Copy heading and permalink for Definition 73">🔗</a></div></article><span class="incontext"><a class="internal" href="notes-01-29.html#def-discrete-EV">in-context</a></span>
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