{"id":1000,"date":"2016-08-26T05:46:48","date_gmt":"2016-08-26T10:46:48","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/estg1003\/?p=1000"},"modified":"2026-04-05T16:16:07","modified_gmt":"2026-04-05T21:16:07","slug":"1eva2012tiii_t1-fiec-marginales-discretas","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/stp-1eva\/1eva2012tiii_t1-fiec-marginales-discretas\/","title":{"rendered":"1Eva2012TIII_T1 FIEC Marginales discretas"},"content":{"rendered":"\n

1ra Evaluaci\u00f3n III T\u00e9rmino 2012-2013. Marzo 20, 2013. FIEC03236<\/h2>\n\n\n\n
\"\"<\/a><\/figure>\n\n\n\n

Tema 1<\/strong> (30 puntos). Dos l\u00edneas de producci\u00f3n fabrican transmisores. Suponga que la capacidad es de 5 transmisores para la l\u00ednea I y de 3 transmisores para la l\u00ednea II.<\/p>\n\n\n\n

Sea X,Y la representaci\u00f3n de la variable aleatoria bidimensional que da el n\u00famero de transmisores producidos por la l\u00ednea I y por la l\u00ednea II:<\/p>\n\n\n\n

X \\ Y<\/strong><\/td>0<\/strong><\/td>1<\/strong><\/td>2<\/strong><\/td>3<\/strong><\/td>4<\/strong><\/td>5<\/strong><\/td><\/tr>
0<\/strong><\/td>0<\/td>0,01<\/td>0,03<\/td>0,05<\/td>0,07<\/td>0,09<\/td><\/tr>
1<\/strong><\/td>0,01<\/td>0,02<\/td>0,04<\/td>0,05<\/td>0,06<\/td>0,08<\/td><\/tr>
2<\/strong><\/td>0,01<\/td>0,03<\/td>0,05<\/td>0,05<\/td>0,05<\/td>0,06<\/td><\/tr>
3<\/strong><\/td>0,01<\/td>0,02<\/td>0,04<\/td>0,06<\/td>0,06<\/td>0,05<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

a) Determinar la probabilidad del suceso: la l\u00ednea I produce m\u00e1s transmisores que la l\u00ednea II<\/p>\n\n\n\n

b) Hallar las distribuciones marginales, fX<\/sub>(x) y fY<\/sub>(y)<\/p>\n\n\n\n

c) Calcular P(X=3) y P(Y=1)<\/p>\n\n\n\n

d) Calcular E(X) y E(Y)<\/p>\n\n\n\n

e) Calcular P(X=2|Y=2)<\/p>\n\n\n\n

R\u00fabrica<\/strong>: cada literal 6 puntos<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"

1ra Evaluaci\u00f3n III T\u00e9rmino 2012-2013. Marzo 20, 2013. FIEC03236 Tema 1 (30 puntos). Dos l\u00edneas de producci\u00f3n fabrican transmisores. Suponga que la capacidad es de 5 transmisores para la l\u00ednea I y de 3 transmisores para la l\u00ednea II. Sea X,Y la representaci\u00f3n de la variable aleatoria bidimensional que da el n\u00famero de transmisores producidos […]<\/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":[226],"class_list":["post-1000","post","type-post","status-publish","format-standard","hentry","category-stp-1eva","tag-marginales-discretas"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/1000","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=1000"}],"version-history":[{"count":4,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/1000\/revisions"}],"predecessor-version":[{"id":23482,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/1000\/revisions\/23482"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=1000"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=1000"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=1000"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}