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	<title>Soma de variáveis aleatórias independentes uniformes - Histórico de revisões</title>
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	<updated>2026-09-17T01:59:02Z</updated>
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	<entry>
		<id>http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=Soma_de_vari%C3%A1veis_aleat%C3%B3rias_independentes_uniformes&amp;diff=1015&amp;oldid=prev</id>
		<title>Ist168340 em 22h28min de 23 de fevereiro de 2016</title>
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		<updated>2016-02-23T22:28:38Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Revisão anterior&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revisão das 22h28min de 23 de fevereiro de 2016&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l28&quot; &gt;Linha 28:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Linha 28:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;\end{cases}&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;\end{cases}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Calcule um valor aproximado para &lt;/del&gt;\( P( 0.5 &amp;lt; Y &amp;lt; 1.5) \) &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;recorrendo&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;obtenha &lt;/ins&gt;\( P( 0.5 &amp;lt; Y &amp;lt; 1.5) \).&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;à distribuição normal&lt;/del&gt;.&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Ist168340</name></author>
	</entry>
	<entry>
		<id>http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=Soma_de_vari%C3%A1veis_aleat%C3%B3rias_independentes_uniformes&amp;diff=1011&amp;oldid=prev</id>
		<title>Ist168340: Criou a página com &quot;&lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot; style=&quot;width:420px&quot;&gt; '''Metadata''' &lt;div class=&quot;mw-collapsible-content&quot;&gt; *CONTEXTO : Primeiro ciclo universitário *AREA...&quot;</title>
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		<updated>2016-02-23T22:23:43Z</updated>

		<summary type="html">&lt;p&gt;Criou a página com &amp;quot;&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot; style=&amp;quot;width:420px&amp;quot;&amp;gt; &amp;#039;&amp;#039;&amp;#039;Metadata&amp;#039;&amp;#039;&amp;#039; &amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt; *CONTEXTO : Primeiro ciclo universitário *AREA...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;Página nova&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot; style=&amp;quot;width:420px&amp;quot;&amp;gt;&lt;br /&gt;
'''Metadata'''&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*CONTEXTO : Primeiro ciclo universitário&lt;br /&gt;
*AREA: Matemática&lt;br /&gt;
*DISCIPLINA: Probabilidades e Estatística&lt;br /&gt;
*ANO: 2&lt;br /&gt;
*LINGUA: pt&lt;br /&gt;
*AUTOR: Equipa de Probabilidades e Estatística&lt;br /&gt;
*MATERIA PRINCIPAL: Variáveis Aleatórias Contínuas&lt;br /&gt;
*DESCRICAO: Conceitos Básicos de Probabilidades&lt;br /&gt;
*DIFICULDADE: *&lt;br /&gt;
*TEMPO MEDIO DE RESOLUCAO: 15 min&lt;br /&gt;
*TEMPO MAXIMO DE RESOLUCAO: 30 min&lt;br /&gt;
*PALAVRAS CHAVE: conceitos básicos de probabilidades e estatística&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Considere que \( Y = X_1 + X_2 \) é a soma de duas variáveis aleatórias independentes com distribuição uniforme contínua no intervalo \( [0,1] \).&lt;br /&gt;
Atendendo ao facto de a função de densidade de probabilidade de \( Y \) ser: &lt;br /&gt;
&lt;br /&gt;
\( f_Y(y) \) =&lt;br /&gt;
\begin{cases}&lt;br /&gt;
0,&amp;amp; y &amp;lt; 0 \mbox{ ou } y &amp;gt; 2\\&lt;br /&gt;
y,&amp;amp; 0 \leq y \leq 1\\&lt;br /&gt;
2-y,&amp;amp; 1 &amp;lt; y \leq 2,&lt;br /&gt;
%0,&amp;amp; y &amp;gt; 2,&lt;br /&gt;
\end{cases}&lt;br /&gt;
&lt;br /&gt;
Calcule um valor aproximado para \( P( 0.5 &amp;lt; Y &amp;lt; 1.5) \) recorrendo&lt;br /&gt;
à distribuição normal.&lt;/div&gt;</summary>
		<author><name>Ist168340</name></author>
	</entry>
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