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<article class="fact theorem-like"><h4 class="heading">
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<span class="type">Fact</span><span class="space heading-divison-mark heading-divison-mark__space"> </span><span class="codenumber">2.1.14</span><span class="period heading-divison-mark heading-divison-mark__period">.</span><span class="space heading-divison-mark heading-divison-mark__space"> </span><span class="title">Geometric Probability Formula.</span>
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<div class="para logical">
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<div class="displaymath process-math">
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\begin{gather*}
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g(k; p) = (1-p)^{k-1} p
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\end{gather*}
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</div>
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<div class="autopermalink" data-description="Paragraph"><a href="#fact-geometric-probability-formula-2-1" 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="Fact 2.1.14: Geometric Probability Formula"><a href="#fact-geometric-probability-formula" title="Copy heading and permalink for Fact 2.1.14: Geometric Probability Formula" aria-label="Copy heading and permalink for Fact 2.1.14: Geometric Probability Formula">🔗</a></div></article><span class="incontext"><a class="internal" href="sec-Discrete-RVs.html#fact-geometric-probability-formula">in-context</a></span>
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Executable
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<body class="ignore-math">
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<figure class="table table-like"><figcaption><span class="type">Table</span><span class="space heading-divison-mark heading-divison-mark__space"> </span><span class="codenumber">B.1.1<span class="period heading-divison-mark heading-divison-mark__period">.</span></span><span class="space heading-divison-mark heading-divison-mark__space"> </span><span class="process-math">\(\chi^2\)</span> Critical Values<div class="autopermalink" data-description="Table B.1.1: \chi^2 Critical Values"><a href="#table-Chi-squared" title="Copy heading and permalink for Table B.1.1: \chi^2 Critical Values" aria-label="Copy heading and permalink for Table B.1.1: \chi^2 Critical Values">🔗</a></div></figcaption><div class="tabular-box natural-width"><table class="tabular">
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<tr class="header-horizontal">
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<th scope="col" class="c m b1 r0 l0 t0 lines">Degrees of Freedom</th>
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<th scope="col" class="c m b1 r0 l0 t0 lines">Critical value for <span class="process-math">\(p = 0.05\)</span>
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</th>
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</tr>
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<tr>
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<td class="c m b0 r0 l0 t0 lines"><span class="process-math">\(1\)</span></td>
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<td class="c m b0 r0 l0 t0 lines"><span class="process-math">\(3.841\)</span></td>
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</tr>
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<tr>
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<td class="c m b0 r0 l0 t0 lines"><span class="process-math">\(2\)</span></td>
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<td class="c m b0 r0 l0 t0 lines"><span class="process-math">\(5.991\)</span></td>
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</tr>
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<tr>
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<td class="c m b0 r0 l0 t0 lines"><span class="process-math">\(3\)</span></td>
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<td class="c m b0 r0 l0 t0 lines"><span class="process-math">\(7.815\)</span></td>
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</tr>
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<tr>
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<td class="c m b0 r0 l0 t0 lines"><span class="process-math">\(4\)</span></td>
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<td class="c m b0 r0 l0 t0 lines"><span class="process-math">\(9.488\)</span></td>
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</tr>
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<tr>
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<td class="c m b0 r0 l0 t0 lines"><span class="process-math">\(5\)</span></td>
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<td class="c m b0 r0 l0 t0 lines"><span class="process-math">\(11.070\)</span></td>
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</tr>
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<tr>
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<td class="c m b0 r0 l0 t0 lines"><span class="process-math">\(6\)</span></td>
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<td class="c m b0 r0 l0 t0 lines"><span class="process-math">\(12.592\)</span></td>
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</tr>
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<tr>
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<td class="c m b0 r0 l0 t0 lines"><span class="process-math">\(7\)</span></td>
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<td class="c m b0 r0 l0 t0 lines"><span class="process-math">\(14.067\)</span></td>
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</tr>
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<tr>
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<td class="c m b0 r0 l0 t0 lines"><span class="process-math">\(8\)</span></td>
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<td class="c m b0 r0 l0 t0 lines"><span class="process-math">\(15.507\)</span></td>
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</tr>
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<tr>
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<td class="c m b0 r0 l0 t0 lines"><span class="process-math">\(9\)</span></td>
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<td class="c m b0 r0 l0 t0 lines"><span class="process-math">\(16.919\)</span></td>
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</tr>
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<tr>
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<td class="c m b0 r0 l0 t0 lines"><span class="process-math">\(10\)</span></td>
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<td class="c m b0 r0 l0 t0 lines"><span class="process-math">\(18.307\)</span></td>
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</tr>
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</table></div></figure><span class="incontext"><a class="internal" href="app-Chi-squared-table.html#table-Chi-squared">in-context</a></span>
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