{"id":838,"date":"2016-10-24T08:47:06","date_gmt":"2016-10-24T13:47:06","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/estg1003\/?p=838"},"modified":"2026-04-05T16:36:06","modified_gmt":"2026-04-05T21:36:06","slug":"3eva2009tii_t1-fiec-pdf-bivariadas-marginales","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/stp-3eva\/3eva2009tii_t1-fiec-pdf-bivariadas-marginales\/","title":{"rendered":"3Eva2009TII_T1 FIEC pdf Bivariadas Marginales"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">3ra Evaluaci\u00f3n II T\u00e9rmino 2009-2010. Febrero 18, 2010 . FIEC03236<\/h2>\n\n\n\n<p><strong>Tema 1<\/strong> (35 puntos). Para las variables aleatorias <strong>x<\/strong>,<strong>y<\/strong> con la siguiente funci\u00f3n densidad conjunta:<\/p>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> f_{XY} (x,y) =\\begin{cases} k(x+y) &amp;&amp; 0.5 \\leq y \\leq x , 0.5\\leq x\\leq 1 \\\\ 0 &amp;&amp; \\text{otro caso}\\end{cases} <\/span>\n\n\n\n<p>Encuentre:<\/p>\n\n\n\n<p>a) (15 pts) Las funciones de densidad marginal de probabilidad, f<sub>x<\/sub>(x) y f<sub>y<\/sub>(y).<\/p>\n\n\n\n<p>b) (10 Pts) Calcule P[x+y &gt; 3\/2].<\/p>\n\n\n\n<p>c) (10 Pts) Calcule <span class=\"wp-katex-eq\" data-display=\"false\"> P\\left[ \\frac{Y\\leq 0.75}{X+Y \\geq 1.5}\\right]<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>3ra Evaluaci\u00f3n II T\u00e9rmino 2009-2010. Febrero 18, 2010 . FIEC03236 Tema 1 (35 puntos). Para las variables aleatorias x,y con la siguiente funci\u00f3n densidad conjunta: Encuentre: a) (15 pts) Las funciones de densidad marginal de probabilidad, fx(x) y fy(y). b) (10 Pts) Calcule P[x+y &gt; 3\/2]. c) (10 Pts) Calcule<\/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":[212],"tags":[],"class_list":["post-838","post","type-post","status-publish","format-standard","hentry","category-stp-3eva"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/838","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=838"}],"version-history":[{"count":4,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/838\/revisions"}],"predecessor-version":[{"id":23536,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/838\/revisions\/23536"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=838"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=838"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=838"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}