{"id":22049,"date":"2016-09-26T06:26:07","date_gmt":"2016-09-26T11:26:07","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/estg1003\/?p=1014"},"modified":"2026-04-12T13:07:37","modified_gmt":"2026-04-12T18:07:37","slug":"2eva2012tiii_t1-fiec-limite-central-lapices","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/stp-2eva\/2eva2012tiii_t1-fiec-limite-central-lapices\/","title":{"rendered":"2Eva2012TIII_T1 FIEC limite central l\u00e1pices"},"content":{"rendered":"\n

2da Evaluaci\u00f3n III T\u00e9rmino 2012-2013. Marzo 20, 2013. FIEC03236<\/h2>\n\n\n\n

Tema 1<\/strong> (10 puntos). Un estudiante usa l\u00e1pices cuya duraci\u00f3n es de una semana cuya funci\u00f3n de densidad de probabilidad es de tipo exponencial. <\/p>\n\n\n\n

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 0.97 de no quedarse sin l\u00e1pices durante el semestre.<\/p>\n\n\n\n

\n\n\n Q(x) = \\frac{1}{\\sqrt{2 \\pi}} \\int_{x}^{\\infty} e^{-t^2 \/2} dt<\/span>\n\n\n\n
x<\/th>Q(x)<\/th> <\/th>x<\/th>Q(x)<\/th><\/tr>
0<\/td>5.00E-01<\/td> <\/td>2.7<\/td>3.47E-03<\/td><\/tr>
0.1<\/td>4.60E-01<\/td> <\/td>2.8<\/td>2.56E-03<\/td><\/tr>
0.2<\/td>4.21E-01<\/td> <\/td>2.9<\/td>1.87E-03<\/td><\/tr>
0.3<\/td>3.82E-01<\/td> <\/td>3.0<\/td>1.35E-03<\/td><\/tr>
0.4<\/td>3.45E-01<\/td> <\/td>3.1<\/td>9.68E-04<\/td><\/tr>
0.5<\/td>3.09E-01<\/td> <\/td>3.2<\/td>6.87E-04<\/td><\/tr>
0.6<\/td>2.74E-01<\/td> <\/td>3.3<\/td>4.83E-04<\/td><\/tr>
0.7<\/td>2.42E-01<\/td> <\/td>3.4<\/td>3.37E-04<\/td><\/tr>
0.8<\/td>2.12E-01<\/td> <\/td>3.5<\/td>2.33E-04<\/td><\/tr>
0.9<\/td>1.84E-01<\/td> <\/td>3.6<\/td>1.59E-04<\/td><\/tr>
1.0<\/td>1.59E-01<\/td> <\/td>3.7<\/td>1.08E-04<\/td><\/tr>
1.1<\/td>1.36E-01<\/td> <\/td>3.8<\/td>7.24E-05<\/td><\/tr>
1.2<\/td>1.15E-01<\/td> <\/td>3.9<\/td>4.81E-05<\/td><\/tr>
1.3<\/td>9.68E-02<\/td> <\/td>4.0<\/td>3.17E-05<\/td><\/tr>
1.4<\/td>8.08E-02<\/td> <\/td>4.5<\/td>3.40E-06<\/td><\/tr>
1.5<\/td>6.68E-02<\/td> <\/td>5.0<\/td>2.87E-07<\/td><\/tr>
1.6<\/td>5.48E-02<\/td> <\/td>5.5<\/td>1.90E-08<\/td><\/tr>
1.7<\/td>4.46E-02<\/td> <\/td>6.0<\/td>9.87E-10<\/td><\/tr>
1.8<\/td>3.59E-02<\/td> <\/td>6.5<\/td>4.02E-11<\/td><\/tr>
1.9<\/td>2.87E-02<\/td> <\/td>7.0<\/td>1.28E-12<\/td><\/tr>
2.0<\/td>2.28E-02<\/td> <\/td>7.5<\/td>3.19E-14<\/td><\/tr>
2.1<\/td>1.79E-02<\/td> <\/td>8.0<\/td>6.22E-16<\/td><\/tr>
2.2<\/td>1.39E-02<\/td> <\/td>8.5<\/td>9.48E-18<\/td><\/tr>
2.3<\/td>1.07E-02<\/td> <\/td>9.0<\/td>1.13E-19<\/td><\/tr>
2.4<\/td>8.20E-03<\/td> <\/td>9.5<\/td>1.05E-21<\/td><\/tr>
2.5<\/td>6.21E-03<\/td> <\/td>10.0<\/td>7.62E-24<\/td><\/tr>
2.6<\/td>4.66E-03<\/td> <\/td> <\/td> <\/td><\/tr><\/tbody><\/table><\/figure>\n","protected":false},"excerpt":{"rendered":"

2da Evaluaci\u00f3n III T\u00e9rmino 2012-2013. Marzo 20, 2013. FIEC03236 Tema 1 (10 puntos). Un estudiante usa l\u00e1pices cuya duraci\u00f3n es de una semana cuya funci\u00f3n de densidad de probabilidad es de tipo exponencial. 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) […]<\/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-22049","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\/22049","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=22049"}],"version-history":[{"count":4,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/22049\/revisions"}],"predecessor-version":[{"id":23504,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/22049\/revisions\/23504"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=22049"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=22049"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=22049"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}