{"id":1652,"date":"2018-02-08T07:20:37","date_gmt":"2018-02-08T12:20:37","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/estg1003\/?p=1652"},"modified":"2026-03-03T21:14:07","modified_gmt":"2026-03-04T02:14:07","slug":"2eva2017tii_t1-pdf-expax","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/stp-evalua\/stp-2eva\/2eva2017tii_t1-pdf-expax\/","title":{"rendered":"2Eva2017TII_T1 PDF exp(ax)"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">2da Evaluaci\u00f3n II T\u00e9rmino 2017-2018. Febrero 7, 2018<\/h2>\n\n\n\n<figure class=\"wp-block-image alignright\"><a href=\"http:\/\/blog.espol.edu.ec\/algoritmos101\/files\/2018\/02\/Exponencial_gx.png\"><img loading=\"lazy\" decoding=\"async\" width=\"557\" height=\"436\" src=\"http:\/\/blog.espol.edu.ec\/algoritmos101\/files\/2018\/02\/Exponencial_gx.png\" alt=\"\" class=\"wp-image-1654\" \/><\/a><\/figure>\n\n\n\n<p><strong>Tema 1<\/strong> (25 puntos). Sea <strong>Y<\/strong> una variable aleatoria definida por:<\/p>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> Y(x) = e^{-\\alpha x} <\/span>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> 0 \\lt x \\leq T <\/span>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> \\alpha = 1, T=1 <\/span>\n\n\n\n<p>donde X es una variable aleatoria uniforme, distribuida en el intervalo<br>de (0, T ]<\/p>\n\n\n\n<p>a) Determine la funci\u00f3n densidad de probabilidad para <strong>Y<\/strong><\/p>\n\n\n\n<p>b) Calcule la funci\u00f3n de distribuci\u00f3n acumulada para <strong>Y<\/strong><\/p>\n\n\n\n<p>c) Grafique su resultado<\/p>\n\n\n\n<p>d) Determine la auto-correlaci\u00f3n para Y<\/p>\n\n\n\n<p><strong>R\u00fabrica<\/strong>: literal a (10 puntos), literal b, c, d (5 puntos cada uno)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>2da Evaluaci\u00f3n II T\u00e9rmino 2017-2018. Febrero 7, 2018 Tema 1 (25 puntos). Sea Y una variable aleatoria definida por: donde X es una variable aleatoria uniforme, distribuida en el intervalode (0, T ] a) Determine la funci\u00f3n densidad de probabilidad para Y b) Calcule la funci\u00f3n de distribuci\u00f3n acumulada para Y c) Grafique su resultado [&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":[210],"tags":[],"class_list":["post-1652","post","type-post","status-publish","format-standard","hentry","category-stp-2eva"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/1652","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=1652"}],"version-history":[{"count":3,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/1652\/revisions"}],"predecessor-version":[{"id":22633,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/1652\/revisions\/22633"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=1652"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=1652"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=1652"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}