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<!DOCTYPE html>
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<title>2 Función de Probabilidad | Apuntes - Estadística No Paramétrica</title>
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<meta name="author" content="Víctor Erick Acaro Bustos" />
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<li class="chapter" data-level="1" data-path="probabilidad.html"><a href="probabilidad.html"><i class="fa fa-check"></i><b>1</b> Probabilidad</a>
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<li class="chapter" data-level="1.1" data-path="probabilidad.html"><a href="probabilidad.html#espacio-muestral"><i class="fa fa-check"></i><b>1.1</b> Espacio muestral</a></li>
<li class="chapter" data-level="1.2" data-path="probabilidad.html"><a href="probabilidad.html#conjunto-potencia-o-partes-de-omega"><i class="fa fa-check"></i><b>1.2</b> Conjunto Potencia o Partes de <span class="math inline">\(\Omega\)</span></a></li>
<li class="chapter" data-level="1.3" data-path="probabilidad.html"><a href="probabilidad.html#sigma-álgebra"><i class="fa fa-check"></i><b>1.3</b> Sigma Álgebra</a></li>
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<li class="chapter" data-level="1.6" data-path="probabilidad.html"><a href="probabilidad.html#álgebra-de-eventos"><i class="fa fa-check"></i><b>1.6</b> Álgebra de Eventos</a></li>
<li class="chapter" data-level="1.7" data-path="probabilidad.html"><a href="probabilidad.html#espacio-medible"><i class="fa fa-check"></i><b>1.7</b> Espacio Medible</a></li>
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<li class="chapter" data-level="2" data-path="función-de-probabilidad.html"><a href="función-de-probabilidad.html"><i class="fa fa-check"></i><b>2</b> Función de Probabilidad</a></li>
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<i class="fa fa-circle-o-notch fa-spin"></i><a href="./">Apuntes - Estadística No Paramétrica</a>
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<h1><span class="header-section-number">2</span> Función de Probabilidad<a href="función-de-probabilidad.html#función-de-probabilidad" class="anchor-section" aria-label="Anchor link to header"></a></h1>
<p><strong>Def.-</strong> Sea <span class="math inline">\((\Omega, \mathscr{P}(\Omega))\)</span> un espacio medible, etnonces, la función definida por
<span class="math display">\[
\mathbf{P}: \mathscr{P}(\Omega) \rightarrow [0,1]
\]</span>
<span class="math display">\[
\,\,\,\,\, A \longmapsto \mathbf{P}(A)
\]</span></p>
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