{"id":981,"date":"2016-08-24T14:31:51","date_gmt":"2016-08-24T19:31:51","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/estg1003\/?p=981"},"modified":"2026-04-05T16:15:47","modified_gmt":"2026-04-05T21:15:47","slug":"1eva2012tii_t2-fiec-funcion-densidad-y-acumulada","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/stp-1eva\/1eva2012tii_t2-fiec-funcion-densidad-y-acumulada\/","title":{"rendered":"1Eva2012TII_T2 FIEC funci\u00f3n densidad y acumulada"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">1ra Evaluaci\u00f3n II T\u00e9rmino 2012-2013. Noviembre 29, 2012. FIEC03236<\/h2>\n\n\n\n<p><strong>Tema 2<\/strong> (40 puntos). La variable aleatoria <strong>X<\/strong> tiene por funci\u00f3n de densidad f<sub>X<\/sub>(x), y se define la variable aleatoria <strong>Y<\/strong>=g(x).<\/p>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> F_{X}(x) = 2 * \\begin{cases} 0.5x + 0.5 &amp;&amp; , x \\in (-1,0] \\\\ -0.5x + 0.5 &amp;&amp; , x \\in (0,1] \\\\ 0 &amp;&amp; , x \\in (-\\infty , 1] \\cup (1, \\infty) \\end{cases} <\/span>\n\n\n\n<p>a) Determinar b para que P(|X|&lt;b) = 1\/5<\/p>\n\n\n\n<p>b) Si g(x)=x<sup>2<\/sup>, encuentre y grafique:<\/p>\n\n\n\n<p>b.1 La funci\u00f3n de distribuci\u00f3n de probabilidad de <strong>Y<\/strong><\/p>\n\n\n\n<p>b.2 La funci\u00f3n de densidad de probabilidad de <strong>Y<\/strong><\/p>\n\n\n\n<p><strong>R\u00fabrica<\/strong>: literal a (10 puntos), literal b.1 y b.2 (15 puntos) cada uno<\/p>\n","protected":false},"excerpt":{"rendered":"<p>1ra Evaluaci\u00f3n II T\u00e9rmino 2012-2013. Noviembre 29, 2012. FIEC03236 Tema 2 (40 puntos). La variable aleatoria X tiene por funci\u00f3n de densidad fX(x), y se define la variable aleatoria Y=g(x). a) Determinar b para que P(|X|&lt;b) = 1\/5 b) Si g(x)=x2, encuentre y grafique: b.1 La funci\u00f3n de distribuci\u00f3n de probabilidad de Y b.2 La [&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":[],"class_list":["post-981","post","type-post","status-publish","format-standard","hentry","category-stp-1eva"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/981","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=981"}],"version-history":[{"count":7,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/981\/revisions"}],"predecessor-version":[{"id":23484,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/981\/revisions\/23484"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=981"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=981"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=981"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}