{"id":22039,"date":"2016-08-24T11:27:52","date_gmt":"2016-08-24T16:27:52","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/estg1003\/?p=913"},"modified":"2026-04-12T13:17:08","modified_gmt":"2026-04-12T18:17:08","slug":"1eva2011ti_t2-fiec-funcion-densidad","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/stp-1eva\/1eva2011ti_t2-fiec-funcion-densidad\/","title":{"rendered":"1Eva2011TI_T2 FIEC funci\u00f3n densidad"},"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 2<\/strong> (35 puntos).&nbsp; Las variables aleatorias <strong>X<\/strong>, <strong>Y<\/strong> tienen la siguiente funci\u00f3n densidad de probabilidad:<\/p>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> f_{XY}(x,y) = \\begin{cases} k &amp;&amp; 0 \\leq x \\leq 1, 0 \\leq y \\leq 1\\\\ 2k &amp;&amp; 1 \\leq x \\leq 2, 1 \\leq y \\leq 2\\\\0 &amp;&amp; \\text{otro valor}\\end{cases} <\/span>\n\n\n\n<p>Determine los siguiente valores:<\/p>\n\n\n\n<p>a)\u00a0El valor de <strong>k<\/strong> para cumplir que sea funci\u00f3n densidad de probabilidad<\/p>\n\n\n\n<p>b)\u00a0P[X \u2264 1,Y \u2264 1]<\/p>\n\n\n\n<p>c)\u00a0P[X \u2264 1]<\/p>\n\n\n\n<p>d) P[Y \u2264 1|X \u2264 1 ]<\/p>\n\n\n\n<p>e)\u00a0P[X+Y \u2264 1]<\/p>\n\n\n\n<p>f)\u00a0P[X \u2264 Y<sup>2<\/sup>]<\/p>\n\n\n\n<p><strong>R\u00fabrica<\/strong>: literales a-e (5 puntos), literal f (10 puntos)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>1ra Evaluaci\u00f3n I T\u00e9rmino 2011-2012. Julio 7, 2011 . FIEC03236 Tema 2 (35 puntos).&nbsp; Las variables aleatorias X, Y tienen la siguiente funci\u00f3n densidad de probabilidad: Determine los siguiente valores: a)\u00a0El valor de k para cumplir que sea funci\u00f3n densidad de probabilidad b)\u00a0P[X \u2264 1,Y \u2264 1] c)\u00a0P[X \u2264 1] d) P[Y \u2264 1|X \u2264 [&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":[208],"tags":[223],"class_list":["post-22039","post","type-post","status-publish","format-standard","hentry","category-stp-1eva","tag-funcion-densidad"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/22039","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=22039"}],"version-history":[{"count":4,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/22039\/revisions"}],"predecessor-version":[{"id":23491,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/22039\/revisions\/23491"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=22039"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=22039"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=22039"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}