{"id":1004,"date":"2016-08-26T06:03:32","date_gmt":"2016-08-26T11:03:32","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/estg1003\/?p=1004"},"modified":"2026-04-05T16:16:16","modified_gmt":"2026-04-05T21:16:16","slug":"1eva2012tiii_t2-fiec-funcion-densidad","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/stp-1eva\/1eva2012tiii_t2-fiec-funcion-densidad\/","title":{"rendered":"1Eva2012TIII_T2 FIEC funcion densidad"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">1ra Evaluaci\u00f3n III T\u00e9rmino 2012-2013. Marzo 20, 2013. FIEC03236<\/h2>\n\n\n\n<p><strong>Tema 2<\/strong> (30 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) = \\begin{cases} k(x+2) &amp;&amp; , x \\in (-2,0] \\\\ -k(x-2) &amp;&amp; , x \\in (0,2] \\\\ 0 &amp;&amp; , x \\in (-\\infty,-2]\\cup(2,\\infty) \\end{cases} <\/span>\n\n\n\n<p>a) Determinar <strong>b<\/strong> para que P(|X|&lt;<strong>b<\/strong>) = 1\/4<\/p>\n\n\n\n<p>b) Si g(x)=x<sup>2<\/sup>, encuentre y grafique:<\/p>\n\n\n\n<p>i. La funci\u00f3n de distribuci\u00f3n de probabilidad de Y<br>ii. La funci\u00f3n de densidad de probabilidad de Y<\/p>\n\n\n\n<p><strong>R\u00fabrica<\/strong>: literal a 10 puntos, literal b, 10 puntos cada parte.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>1ra Evaluaci\u00f3n III T\u00e9rmino 2012-2013. Marzo 20, 2013. FIEC03236 Tema 2 (30 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\/4 b) Si g(x)=x2, encuentre y grafique: i. La funci\u00f3n de distribuci\u00f3n de probabilidad de Yii. La funci\u00f3n [&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-1004","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\/1004","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=1004"}],"version-history":[{"count":4,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/1004\/revisions"}],"predecessor-version":[{"id":23481,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/1004\/revisions\/23481"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=1004"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=1004"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=1004"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}