{"id":918,"date":"2016-08-24T11:41:10","date_gmt":"2016-08-24T16:41:10","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/estg1003\/?p=918"},"modified":"2026-04-12T13:06:04","modified_gmt":"2026-04-12T18:06:04","slug":"1eva2011ti_t4-fiec-limite-central","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/stp-1eva\/1eva2011ti_t4-fiec-limite-central\/","title":{"rendered":"1Eva2011TI_T4 FIEC limite central"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">1ra Evaluaci\u00f3n I T\u00e9rmino 2011-2012. Julio 7, 2011. FIEC03236<\/h2>\n\n\n\n<p><strong>Tema 4<\/strong> (15 puntos). Un estudiante usa l\u00e1pices cuya duraci\u00f3n es de 14 d\u00edas.<\/p>\n\n\n\n<p>Use el teorema del l\u00edmite central para determinar el m\u00ednimo n\u00famero de l\u00e1pices que deber\u00eda comprar al inicio del semestre (15 semanas) para tener una probabilidad de 0.98 de no quedarse sin l\u00e1pices durante el semestre.<\/p>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> f_X (x) = \\lambda e^{-\\lambda x} <\/span>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\" \/>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> Q(x) = \\frac{1}{\\sqrt{2 \\pi}} \\int_{x}^{\\infty} e^{-t^2 \/2} dt<\/span>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><th>x<\/th><th>Q(x)<\/th><th>&nbsp;<\/th><th>x<\/th><th>Q(x)<\/th><\/tr><tr><td>0<\/td><td>5.00E-01<\/td><td>&nbsp;<\/td><td>2.7<\/td><td>3.47E-03<\/td><\/tr><tr><td>0.1<\/td><td>4.60E-01<\/td><td>&nbsp;<\/td><td>2.8<\/td><td>2.56E-03<\/td><\/tr><tr><td>0.2<\/td><td>4.21E-01<\/td><td>&nbsp;<\/td><td>2.9<\/td><td>1.87E-03<\/td><\/tr><tr><td>0.3<\/td><td>3.82E-01<\/td><td>&nbsp;<\/td><td>3.0<\/td><td>1.35E-03<\/td><\/tr><tr><td>0.4<\/td><td>3.45E-01<\/td><td>&nbsp;<\/td><td>3.1<\/td><td>9.68E-04<\/td><\/tr><tr><td>0.5<\/td><td>3.09E-01<\/td><td>&nbsp;<\/td><td>3.2<\/td><td>6.87E-04<\/td><\/tr><tr><td>0.6<\/td><td>2.74E-01<\/td><td>&nbsp;<\/td><td>3.3<\/td><td>4.83E-04<\/td><\/tr><tr><td>0.7<\/td><td>2.42E-01<\/td><td>&nbsp;<\/td><td>3.4<\/td><td>3.37E-04<\/td><\/tr><tr><td>0.8<\/td><td>2.12E-01<\/td><td>&nbsp;<\/td><td>3.5<\/td><td>2.33E-04<\/td><\/tr><tr><td>0.9<\/td><td>1.84E-01<\/td><td>&nbsp;<\/td><td>3.6<\/td><td>1.59E-04<\/td><\/tr><tr><td>1.0<\/td><td>1.59E-01<\/td><td>&nbsp;<\/td><td>3.7<\/td><td>1.08E-04<\/td><\/tr><tr><td>1.1<\/td><td>1.36E-01<\/td><td>&nbsp;<\/td><td>3.8<\/td><td>7.24E-05<\/td><\/tr><tr><td>1.2<\/td><td>1.15E-01<\/td><td>&nbsp;<\/td><td>3.9<\/td><td>4.81E-05<\/td><\/tr><tr><td>1.3<\/td><td>9.68E-02<\/td><td>&nbsp;<\/td><td>4.0<\/td><td>3.17E-05<\/td><\/tr><tr><td>1.4<\/td><td>8.08E-02<\/td><td>&nbsp;<\/td><td>4.5<\/td><td>3.40E-06<\/td><\/tr><tr><td>1.5<\/td><td>6.68E-02<\/td><td>&nbsp;<\/td><td>5.0<\/td><td>2.87E-07<\/td><\/tr><tr><td>1.6<\/td><td>5.48E-02<\/td><td>&nbsp;<\/td><td>5.5<\/td><td>1.90E-08<\/td><\/tr><tr><td>1.7<\/td><td>4.46E-02<\/td><td>&nbsp;<\/td><td>6.0<\/td><td>9.87E-10<\/td><\/tr><tr><td>1.8<\/td><td>3.59E-02<\/td><td>&nbsp;<\/td><td>6.5<\/td><td>4.02E-11<\/td><\/tr><tr><td>1.9<\/td><td>2.87E-02<\/td><td>&nbsp;<\/td><td>7.0<\/td><td>1.28E-12<\/td><\/tr><tr><td>2.0<\/td><td>2.28E-02<\/td><td>&nbsp;<\/td><td>7.5<\/td><td>3.19E-14<\/td><\/tr><tr><td>2.1<\/td><td>1.79E-02<\/td><td>&nbsp;<\/td><td>8.0<\/td><td>6.22E-16<\/td><\/tr><tr><td>2.2<\/td><td>1.39E-02<\/td><td>&nbsp;<\/td><td>8.5<\/td><td>9.48E-18<\/td><\/tr><tr><td>2.3<\/td><td>1.07E-02<\/td><td>&nbsp;<\/td><td>9.0<\/td><td>1.13E-19<\/td><\/tr><tr><td>2.4<\/td><td>8.20E-03<\/td><td>&nbsp;<\/td><td>9.5<\/td><td>1.05E-21<\/td><\/tr><tr><td>2.5<\/td><td>6.21E-03<\/td><td>&nbsp;<\/td><td>10.0<\/td><td>7.62E-24<\/td><\/tr><tr><td>2.6<\/td><td>4.66E-03<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><\/tbody><\/table><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>1ra Evaluaci\u00f3n I T\u00e9rmino 2011-2012. Julio 7, 2011. FIEC03236 Tema 4 (15 puntos). Un estudiante usa l\u00e1pices cuya duraci\u00f3n es de 14 d\u00edas. Use el teorema del l\u00edmite central para determinar el m\u00ednimo n\u00famero de l\u00e1pices que deber\u00eda comprar al inicio del semestre (15 semanas) para tener una probabilidad de 0.98 de no quedarse sin [&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-918","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\/918","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=918"}],"version-history":[{"count":4,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/918\/revisions"}],"predecessor-version":[{"id":23489,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/918\/revisions\/23489"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=918"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=918"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=918"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}