{"id":22045,"date":"2016-08-26T06:16:20","date_gmt":"2016-08-26T11:16:20","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/estg1003\/?p=1009"},"modified":"2026-04-05T16:16:27","modified_gmt":"2026-04-05T21:16:27","slug":"1eva2012tiii_t3-fiec-varianza-covarianza","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/stp-1eva\/1eva2012tiii_t3-fiec-varianza-covarianza\/","title":{"rendered":"1Eva2012TIII_T3 FIEC varianza covarianza"},"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 3<\/strong> (40 puntos). Sea (X,Y) una variable aleatoria bidimensional con funci\u00f3n de densidad de probabilidad dada por:<\/p>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> f_{XY}(x,y) = \\begin{cases} Kx &amp;&amp; , 0 \\leq y \\leq 2x &lt;2 \\\\ 0 &amp;&amp; ,\\text{otro caso} \\end{cases} <\/span>\n\n\n\n<p>a) Graficar la regi\u00f3n de f<sub>XY<\/sub>(x,y)<\/p>\n\n\n\n<p>Determinar:<\/p>\n\n\n\n<p>b) el valor de <strong>K<\/strong> para que sea una funci\u00f3n densidad de probabilidad<\/p>\n\n\n\n<p>c) P(Y&gt;X\u2502Y&lt;1)<\/p>\n\n\n\n<p>d) P(\u221aX\u2502Y=1,5)<\/p>\n\n\n\n<p>e) E[XY]<\/p>\n\n\n\n<p>f) Var[X]<\/p>\n\n\n\n<p>g) F<sub>Y<\/sub>(y)<\/p>\n\n\n\n<p><strong>R\u00fabrica<\/strong>: literal a (3 puntos), b,c,e,f (5 puntos), d (10 puntos), g (7 puntos)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>1ra Evaluaci\u00f3n III T\u00e9rmino 2012-2013. Marzo 20, 2013. FIEC03236 Tema 3 (40 puntos). Sea (X,Y) una variable aleatoria bidimensional con funci\u00f3n de densidad de probabilidad dada por: a) Graficar la regi\u00f3n de fXY(x,y) Determinar: b) el valor de K para que sea una funci\u00f3n densidad de probabilidad c) P(Y&gt;X\u2502Y&lt;1) d) P(\u221aX\u2502Y=1,5) e) E[XY] f) Var[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":[],"class_list":["post-22045","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\/22045","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=22045"}],"version-history":[{"count":4,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/22045\/revisions"}],"predecessor-version":[{"id":23480,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/22045\/revisions\/23480"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=22045"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=22045"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=22045"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}