{"id":22038,"date":"2016-08-24T11:17:53","date_gmt":"2016-08-24T16:17:53","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/estg1003\/?p=909"},"modified":"2026-04-04T11:15:04","modified_gmt":"2026-04-04T16:15:04","slug":"1eva2011ti_t1-correlacion-y-covarianza","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/stp-evalua\/stp-1eva-fiec\/1eva2011ti_t1-correlacion-y-covarianza\/","title":{"rendered":"1Eva2011TI_T1 Correlaci\u00f3n y covarianza"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">1ra Evaluaci\u00f3n I T\u00e9rmino 2011-2012. Julio 7, 2011 . FIEC03236<\/h2>\n\n\n\n<p><strong>Tema 1<\/strong> (30 puntos). Las variables aleatorias <strong>X<\/strong> y <strong>Y<\/strong> tienen una distribuci\u00f3n conjuntamente uniforme con funci\u00f3n densidad conjunta:<\/p>\n\n\n\n<figure class=\"wp-block-image alignright\"><a href=\"https:\/\/blog.espol.edu.ec\/algoritmos101\/estg1003\/files\/2017\/07\/1Eva_IT2011_T1_01.png\"><img loading=\"lazy\" decoding=\"async\" width=\"285\" height=\"148\" src=\"https:\/\/blog.espol.edu.ec\/algoritmos101\/estg1003\/files\/2017\/07\/1Eva_IT2011_T1_01.png\" alt=\"\" class=\"wp-image-910\" \/><\/a><\/figure>\n\n\n\n<p>f<sub>X,Y<\/sub>(x,y) = 2<\/p>\n\n\n\n<p>dentro de la regi\u00f3n mostrada en la figura y 0 en otra parte.<\/p>\n\n\n\n<p>Determinar:<\/p>\n\n\n\n<p>a) Encuentre y grafique la pdf marginal para <strong>X<\/strong> y <strong>Y<\/strong>.<\/p>\n\n\n\n<p>b) Encuentre la correlaci\u00f3n y la covarianza de <strong>X<\/strong> y <strong>Y<\/strong>.<\/p>\n\n\n\n<p>c) \u00bf<strong>X<\/strong> y <strong>Y<\/strong> son independientes? Ortogonales? No correlacionadas? Justifique su respuesta.<\/p>\n\n\n\n<p><strong>R\u00fabrica<\/strong>: 10 puntos cada literal<\/p>\n","protected":false},"excerpt":{"rendered":"<p>1ra Evaluaci\u00f3n I T\u00e9rmino 2011-2012. Julio 7, 2011 . FIEC03236 Tema 1 (30 puntos). Las variables aleatorias X y Y tienen una distribuci\u00f3n conjuntamente uniforme con funci\u00f3n densidad conjunta: fX,Y(x,y) = 2 dentro de la regi\u00f3n mostrada en la figura y 0 en otra parte. Determinar: a) Encuentre y grafique la pdf marginal para X [&hellip;]<\/p>\n","protected":false},"author":8043,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"wp-custom-template-entrada-stp-ejercicios","format":"standard","meta":{"footnotes":""},"categories":[207],"tags":[219],"class_list":["post-22038","post","type-post","status-publish","format-standard","hentry","category-stp-1eva-fiec","tag-covarianza"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/22038","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/users\/8043"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/comments?post=22038"}],"version-history":[{"count":3,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/22038\/revisions"}],"predecessor-version":[{"id":22589,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/22038\/revisions\/22589"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=22038"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=22038"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=22038"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}