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Valor Esperado numa distribuição conjunta discreta - Histórico de revisões
2024-03-29T14:18:14Z
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Ist178052 em 13h08min de 30 de junho de 2016
2016-06-30T13:08:45Z
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<tr><td class='diff-marker'> </td><td style="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;"></td><td class='diff-marker'> </td><td style="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;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="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;"><div>Para obter o zip que contém as instâncias deste exercício clique aqui[]</div></td><td class='diff-marker'>+</td><td style="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;"><div>Para obter o zip que contém as instâncias deste exercício clique aqui[<ins class="diffchange diffchange-inline">https://drive.tecnico.ulisboa.pt/download/1695923671428608/instanciasValorEsperadoDistribConjuntaDisc.zip</ins>]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="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;"></td><td class='diff-marker'> </td><td style="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;"></td></tr>
<tr><td class='diff-marker'> </td><td style="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;"><div>Se deseja obter o código fonte que gera os exercícios contacte miguel.dziergwa@ist.utl.pt</div></td><td class='diff-marker'> </td><td style="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;"><div>Se deseja obter o código fonte que gera os exercícios contacte miguel.dziergwa@ist.utl.pt</div></td></tr>
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Ist178052
http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=Valor_Esperado_numa_distribui%C3%A7%C3%A3o_conjunta_discreta&diff=1212&oldid=prev
Ist178052 em 12h56min de 30 de junho de 2016
2016-06-30T12:56:03Z
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<tr><td class='diff-marker'> </td><td style="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;"></td><td class='diff-marker'> </td><td style="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;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="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;"><div><del class="diffchange diffchange-inline">Considere </del>a <del class="diffchange diffchange-inline">seguinte </del>função de probabilidade conjunta do par aleatório (X, Y): \(P(X=\)\(4\)\(,Y=\)\(0\)\()=\)\(0\) , \(P(X=\)\(4\)\(,Y=\)\(2\)\()=\)\(0.4\) , \(P(X=\)\(4\)\(,Y=\)\(4\)\()=\)\(0\) , \(P(X=\)\(6\)\(,Y=\)\(0\)\()=\)\(0.3\) , \(P(X=\)\(6\)\(,Y=\)\(2\)\()=\)\(0.2\) , \(P(X=\)\(6\)\(,Y=\)\(4\)\()=\)\(0.1\). E zero nos restantes casos.</div></td><td class='diff-marker'>+</td><td style="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;"><div><ins class="diffchange diffchange-inline">Admita que </ins>a função de probabilidade conjunta do par aleatório <ins class="diffchange diffchange-inline">\(</ins>(X, Y<ins class="diffchange diffchange-inline">\</ins>)<ins class="diffchange diffchange-inline">) é a seguinte</ins>: \(P(X=\)\(4\)\(,Y=\)\(0\)\()=\)\(0\) , \(P(X=\)\(4\)\(,Y=\)\(2\)\()=\)\(0.4\) , \(P(X=\)\(4\)\(,Y=\)\(4\)\()=\)\(0\) , \(P(X=\)\(6\)\(,Y=\)\(0\)\()=\)\(0.3\) , \(P(X=\)\(6\)\(,Y=\)\(2\)\()=\)\(0.2\) , \(P(X=\)\(6\)\(,Y=\)\(4\)\()=\)\(0.1\). E zero nos restantes casos.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="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;"></td><td class='diff-marker'> </td><td style="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;"></td></tr>
<tr><td class='diff-marker'> </td><td style="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;"><div>Qual é o valor esperado de \(E[(3X^2+4)*Y]\)?</div></td><td class='diff-marker'> </td><td style="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;"><div>Qual é o valor esperado de \(E[(3X^2+4)*Y]\)?</div></td></tr>
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Ist178052
http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=Valor_Esperado_numa_distribui%C3%A7%C3%A3o_conjunta_discreta&diff=1211&oldid=prev
Ist178052 em 12h55min de 30 de junho de 2016
2016-06-30T12:55:05Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Revisão anterior</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisão das 12h55min de 30 de junho de 2016</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l21" >Linha 21:</td>
<td colspan="2" class="diff-lineno">Linha 21:</td></tr>
<tr><td class='diff-marker'> </td><td style="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;"><div>Qual é o valor esperado de \(E[(3X^2+4)*Y]\)?</div></td><td class='diff-marker'> </td><td style="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;"><div>Qual é o valor esperado de \(E[(3X^2+4)*Y]\)?</div></td></tr>
<tr><td class='diff-marker'> </td><td style="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;"></td><td class='diff-marker'> </td><td style="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;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="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;"><div>A resposta correcta é: A)\(<del class="diffchange diffchange-inline">-0</del>.<del class="diffchange diffchange-inline">4</del>\) , B)\(<del class="diffchange diffchange-inline">0</del>.<del class="diffchange diffchange-inline">25</del>\) , C)\(<del class="diffchange diffchange-inline">0.96</del>\) , D)\(<del class="diffchange diffchange-inline">5</del>.<del class="diffchange diffchange-inline">2</del>\)</div></td><td class='diff-marker'>+</td><td style="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;"><div>A resposta correcta é: A)\(<ins class="diffchange diffchange-inline">131</ins>.<ins class="diffchange diffchange-inline">2</ins>\) , B)\(<ins class="diffchange diffchange-inline">-130</ins>.<ins class="diffchange diffchange-inline">2</ins>\) , C)\(<ins class="diffchange diffchange-inline">4</ins>\) , D)\(<ins class="diffchange diffchange-inline">0</ins>.<ins class="diffchange diffchange-inline">96</ins>\)</div></td></tr>
<tr><td class='diff-marker'> </td><td style="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;"></td><td class='diff-marker'> </td><td style="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;"></td></tr>
<tr><td class='diff-marker'> </td><td style="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;"></td><td class='diff-marker'> </td><td style="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;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="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;"><div>Para obter o zip que contém as instâncias deste exercício clique aqui[<del class="diffchange diffchange-inline">https://drive.tecnico.ulisboa.pt/download/288548787877317/instanciasCovarDistribConjuntaDisc.zip</del>]</div></td><td class='diff-marker'>+</td><td style="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;"><div>Para obter o zip que contém as instâncias deste exercício clique aqui[]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="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;"></td><td class='diff-marker'> </td><td style="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;"></td></tr>
<tr><td class='diff-marker'> </td><td style="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;"><div>Se deseja obter o código fonte que gera os exercícios contacte miguel.dziergwa@ist.utl.pt</div></td><td class='diff-marker'> </td><td style="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;"><div>Se deseja obter o código fonte que gera os exercícios contacte miguel.dziergwa@ist.utl.pt</div></td></tr>
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Ist178052
http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=Valor_Esperado_numa_distribui%C3%A7%C3%A3o_conjunta_discreta&diff=1210&oldid=prev
Ist178052: Criou a página com "<div class="toccolours mw-collapsible mw-collapsed" style="width:420px"> '''Metadata''' <div class="mw-collapsible-content"> *CONTEXTO : Primeiro ciclo universitário *AREA:..."
2016-06-30T12:54:01Z
<p>Criou a página com "<div class="toccolours mw-collapsible mw-collapsed" style="width:420px"> '''Metadata''' <div class="mw-collapsible-content"> *CONTEXTO : Primeiro ciclo universitário *AREA:..."</p>
<p><b>Página nova</b></p><div><div class="toccolours mw-collapsible mw-collapsed" style="width:420px"><br />
'''Metadata'''<br />
<div class="mw-collapsible-content"><br />
*CONTEXTO : Primeiro ciclo universitário<br />
*AREA: Matemática<br />
*DISCIPLINA: Probabilidades e Estatística<br />
*ANO: 2<br />
*LINGUA: pt<br />
*AUTOR: Equipa de Probabilidades e Estatística<br />
*MATERIA PRINCIPAL: Distribuições conjuntas e complementos<br />
*DESCRICAO: Probabilidades I<br />
*DIFICULDADE: Easy<br />
*TEMPO MEDIO DE RESOLUCAO: 10 min<br />
*TEMPO MAXIMO DE RESOLUCAO: 15 min<br />
*PALAVRAS CHAVE: variáveis aleatórias discretas valor esperado distribuição conjunta discreta<br />
</div><br />
</div><br />
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Considere a seguinte função de probabilidade conjunta do par aleatório (X, Y): \(P(X=\)\(4\)\(,Y=\)\(0\)\()=\)\(0\) , \(P(X=\)\(4\)\(,Y=\)\(2\)\()=\)\(0.4\) , \(P(X=\)\(4\)\(,Y=\)\(4\)\()=\)\(0\) , \(P(X=\)\(6\)\(,Y=\)\(0\)\()=\)\(0.3\) , \(P(X=\)\(6\)\(,Y=\)\(2\)\()=\)\(0.2\) , \(P(X=\)\(6\)\(,Y=\)\(4\)\()=\)\(0.1\). E zero nos restantes casos.<br />
<br />
Qual é o valor esperado de \(E[(3X^2+4)*Y]\)?<br />
<br />
A resposta correcta é: A)\(-0.4\) , B)\(0.25\) , C)\(0.96\) , D)\(5.2\)<br />
<br />
<br />
Para obter o zip que contém as instâncias deste exercício clique aqui[https://drive.tecnico.ulisboa.pt/download/288548787877317/instanciasCovarDistribConjuntaDisc.zip]<br />
<br />
Se deseja obter o código fonte que gera os exercícios contacte miguel.dziergwa@ist.utl.pt</div>
Ist178052