{"id":22035,"date":"2016-08-18T07:14:45","date_gmt":"2016-08-18T12:14:45","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/estg1003\/?p=505"},"modified":"2026-04-12T13:17:43","modified_gmt":"2026-04-12T18:17:43","slug":"1eva2009tii_t2-fiec-variable-aleatoria-continua-pdf","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/stp-1eva\/1eva2009tii_t2-fiec-variable-aleatoria-continua-pdf\/","title":{"rendered":"1Eva2009TII_T2 FIEC variable aleatoria cont\u00ednua pdf"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">1ra Evaluaci\u00f3n II T\u00e9rmino 2009-2010. Diciembre 3, 2009 . FIEC03236<\/h2>\n\n\n\n<p><strong>Variable aleatoria cont\u00ednua pdf<\/strong><\/p>\n\n\n\n<p><strong>Tema 2<\/strong>.&nbsp;Una variable aleatoria cont\u00ednua&nbsp;<strong>X<\/strong> tiene una funci\u00f3n densidad de probabilidad (pdf) mostrada en la figura.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><a href=\"http:\/\/blog.espol.edu.ec\/algoritmos101\/files\/2017\/07\/Eva_1raEvaIIT2009T2.png\"><img loading=\"lazy\" decoding=\"async\" width=\"585\" height=\"244\" src=\"http:\/\/blog.espol.edu.ec\/algoritmos101\/files\/2017\/07\/Eva_1raEvaIIT2009T2.png\" alt=\"\" class=\"wp-image-506\" \/><\/a><\/figure>\n\n\n\n<p>a)&nbsp;&nbsp; Determine el valor de <strong>a<\/strong> para que sea considere una pdf<\/p>\n\n\n\n<p>b)&nbsp;&nbsp; Determine y realice la gr\u00e1fica de la funci\u00f3n acumulada de probabilidad <strong>F<sub>X<\/sub><\/strong>(<strong>x<\/strong>).<\/p>\n\n\n\n<p>c)&nbsp;&nbsp; Sea <strong>Y<\/strong> una nueva variable aleatoria definida como <strong>Y<\/strong>=|<strong>X<\/strong>|, determine la pdf de <strong>Y<\/strong> y su valor esperado E[<strong>Y<\/strong>].<\/p>\n\n\n\n<p>d)&nbsp;&nbsp; Si una nueva variable <strong>Z<\/strong>= <strong>X<\/strong><sup>2<\/sup>&nbsp;, encuentre la probabilidad <strong>P<\/strong>(<strong>Z<\/strong>&gt;<strong>Y<\/strong>).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>1ra Evaluaci\u00f3n II T\u00e9rmino 2009-2010. Diciembre 3, 2009 . FIEC03236 Variable aleatoria cont\u00ednua pdf Tema 2.&nbsp;Una variable aleatoria cont\u00ednua&nbsp;X tiene una funci\u00f3n densidad de probabilidad (pdf) mostrada en la figura. a)&nbsp;&nbsp; Determine el valor de a para que sea considere una pdf b)&nbsp;&nbsp; Determine y realice la gr\u00e1fica de la funci\u00f3n acumulada de probabilidad FX(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":[208],"tags":[223],"class_list":["post-22035","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\/22035","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=22035"}],"version-history":[{"count":4,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/22035\/revisions"}],"predecessor-version":[{"id":23499,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/22035\/revisions\/23499"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=22035"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=22035"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=22035"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}