112:@0.054057:0.510692:0.082417:0.510692:0.082417:0.494068:0.054057:0.494068:0.000000:0.000000:0.000000
5. :@0.507603:0.274102:0.526344:0.274102:0.526344:0.256966:0.507603:0.256966:0.000000:0.000000:0.000000
El promedio o media de los pesos de 500  :@0.540847:0.274102:0.883619:0.274102:0.883619:0.257713:0.540847:0.257713:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estudiantes de un colegio es 70 kg y la des-:@0.540847:0.290698:0.879580:0.290698:0.879580:0.274309:0.540847:0.274309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
viación típica 3 kg. Suponiendo que los pesos :@0.540847:0.307294:0.883599:0.307294:0.883599:0.290906:0.540847:0.290906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siguen una distribución normal, :@0.540847:0.323891:0.794299:0.323891:0.794299:0.307502:0.540847:0.307502:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determina:@0.799882:0.323891:0.879619:0.323891:0.879619:0.307267:0.799882:0.307267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.879619:0.323891:0.883654:0.323891:0.883654:0.307502:0.879619:0.307502:0.000000
cuántos estudiantes pesan::@0.540847:0.340487:0.739661:0.340487:0.739661:0.324098:0.540847:0.324098:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.540847:0.364206:0.559569:0.364206:0.559569:0.347306:0.540847:0.347306:0.000000:0.000000:0.000000
Entre 60 kg y 65 kg:@0.574090:0.364206:0.712718:0.364206:0.712718:0.347817:0.574090:0.347817:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.540847:0.460949:0.545454:0.460949:0.545454:0.445376:0.540847:0.445376:0.000000
b) :@0.540845:0.480431:0.560876:0.480431:0.560876:0.463530:0.540845:0.463530:0.000000:0.000000:0.000000
Más de 90 kg:@0.574089:0.480431:0.670889:0.480431:0.670889:0.464042:0.574089:0.464042:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.540845:0.577174:0.545452:0.577174:0.545452:0.561601:0.540845:0.561601:0.000000
c) :@0.540845:0.596650:0.558481:0.596650:0.558481:0.579749:0.540845:0.579749:0.000000:0.000000:0.000000
Menos de 64 kg:@0.574089:0.596650:0.691141:0.596650:0.691141:0.580261:0.574089:0.580261:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.540845:0.693393:0.545452:0.693393:0.545452:0.677820:0.540845:0.677820:0.000000
d) :@0.540845:0.712870:0.560913:0.712870:0.560913:0.695969:0.540845:0.695969:0.000000:0.000000:0.000000
64 kg:@0.574089:0.712870:0.614130:0.712870:0.614130:0.696481:0.574089:0.696481:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.540845:0.809613:0.545452:0.809613:0.545452:0.794040:0.540845:0.794040:0.000000
e) :@0.540845:0.832653:0.559715:0.832653:0.559715:0.815752:0.540845:0.815752:0.000000:0.000000:0.000000
64 kg  o menos:@0.574089:0.832653:0.686624:0.832653:0.686624:0.816264:0.574089:0.816264:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.540845:0.929396:0.545452:0.929396:0.545452:0.913823:0.540845:0.913823:0.000000
4. :@0.507603:0.100351:0.526344:0.100351:0.526344:0.083216:0.507603:0.083216:0.000000:0.000000:0.000000
En una distribución normal de media 4 y des-:@0.540847:0.100351:0.879617:0.100351:0.879617:0.083963:0.540847:0.083963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
viación típica 2, :@0.540847:0.116948:0.658378:0.116948:0.658378:0.100559:0.540847:0.100559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
calcula:@0.658765:0.116948:0.711892:0.116948:0.711892:0.100324:0.658765:0.100324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el valor de   para que: :@0.711892:0.116948:0.883638:0.116948:0.883638:0.100559:0.711892:0.100559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.797231:0.116948:0.806500:0.116948:0.806500:0.100587:0.797231:0.100587:0.000000
 :@0.879602:0.116948:0.883638:0.116948:0.883638:0.100559:0.879602:0.100559:0.000000
P:@0.540847:0.133544:0.549619:0.133544:0.549619:0.117183:0.540847:0.117183:0.000000
(:@0.549619:0.134222:0.555755:0.134222:0.555755:0.118649:0.549619:0.118649:0.000000
4 –   ≤   ≤ 4 +   = 0,593 4:@0.555755:0.133544:0.753189:0.133544:0.753189:0.117155:0.555755:0.117155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.582033:0.133544:0.591302:0.133544:0.591302:0.117183:0.582033:0.117183:0.000000
X:@0.610356:0.133544:0.619422:0.133544:0.619422:0.117183:0.610356:0.117183:0.000000
a:@0.666523:0.133544:0.675793:0.133544:0.675793:0.117183:0.666523:0.117183:0.000000
):@0.675793:0.134222:0.681929:0.134222:0.681929:0.118649:0.675793:0.118649:0.000000
3. :@0.115519:0.617296:0.134260:0.617296:0.134260:0.600160:0.115519:0.600160:0.000000:0.000000:0.000000
Si   es una variable aleatoria de una distribu-:@0.148763:0.617296:0.487549:0.617296:0.487549:0.600907:0.148763:0.600907:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X:@0.166785:0.617296:0.175851:0.617296:0.175851:0.600935:0.166785:0.600935:0.000000
ción :@0.148763:0.633892:0.184549:0.633892:0.184549:0.617503:0.148763:0.617503:0.000000:0.000000:0.000000:0.000000:0.000000
N:@0.184549:0.633892:0.195808:0.633892:0.195808:0.617531:0.184549:0.617531:0.000000
(μ, σ):@0.195808:0.634570:0.239021:0.634570:0.239021:0.618997:0.195808:0.618997:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.239022:0.633578:0.241937:0.633578:0.241937:0.618679:0.239022:0.618679:0.000000
a) :@0.148760:0.657616:0.167483:0.657616:0.167483:0.640716:0.148760:0.640716:0.000000:0.000000:0.000000
Halla :@0.182004:0.657616:0.224387:0.657616:0.224387:0.640992:0.182004:0.640992:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.224387:0.657616:0.233159:0.657616:0.233159:0.641255:0.224387:0.641255:0.000000
(μ:@0.233159:0.658294:0.249910:0.658294:0.249910:0.642721:0.233159:0.642721:0.000000:0.000000
 – 3  ≤ X ≤   + 3:@0.249910:0.657616:0.374130:0.657616:0.374130:0.641227:0.249910:0.641227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
σ:@0.276188:0.658294:0.287299:0.658294:0.287299:0.642721:0.276188:0.642721:0.000000
μ:@0.335469:0.658294:0.346084:0.658294:0.346084:0.642721:0.335469:0.642721:0.000000
σ):@0.374130:0.658294:0.391379:0.658294:0.391379:0.642721:0.374130:0.642721:0.000000:0.000000
 :@0.148760:0.754359:0.153367:0.754359:0.153367:0.738786:0.148760:0.738786:0.000000
b) :@0.148760:0.777399:0.168791:0.777399:0.168791:0.760499:0.148760:0.760499:0.000000:0.000000:0.000000
Realiza:@0.182004:0.777399:0.235536:0.777399:0.235536:0.760775:0.182004:0.760775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el gráfico aproximado de la distri-:@0.235536:0.777399:0.487477:0.777399:0.487477:0.761010:0.235536:0.761010:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bución normal.:@0.182004:0.793996:0.293360:0.793996:0.293360:0.777607:0.182004:0.777607:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h) :@0.148760:0.100350:0.168662:0.100350:0.168662:0.083450:0.148760:0.083450:0.000000:0.000000:0.000000
P:@0.182004:0.100350:0.190775:0.100350:0.190775:0.083989:0.182004:0.083989:0.000000
(:@0.190591:0.101028:0.196728:0.101028:0.196728:0.085455:0.190591:0.085455:0.000000
1,25 ≤   ≤ 3,02 =:@0.196543:0.100350:0.322902:0.100350:0.322902:0.083961:0.196543:0.083961:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Z:@0.244492:0.100350:0.253780:0.100350:0.253780:0.083989:0.244492:0.083989:0.000000
) :@0.301544:0.101028:0.312103:0.101028:0.312103:0.085455:0.301544:0.085455:0.000000:0.000000
 :@0.148760:0.197093:0.153367:0.197093:0.153367:0.181520:0.148760:0.181520:0.000000
i) :@0.148760:0.229778:0.162839:0.229778:0.162839:0.212877:0.148760:0.212877:0.000000:0.000000:0.000000
P:@0.182004:0.229778:0.190775:0.229778:0.190775:0.213417:0.182004:0.213417:0.000000
(:@0.190591:0.230456:0.196728:0.230456:0.196728:0.214883:0.190591:0.214883:0.000000
2,53 ≤   ≤ 2,99 =:@0.196543:0.229778:0.322902:0.229778:0.322902:0.213389:0.196543:0.213389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Z:@0.244492:0.229778:0.253780:0.229778:0.253780:0.213417:0.244492:0.213417:0.000000
) :@0.301544:0.230456:0.312103:0.230456:0.312103:0.214883:0.301544:0.214883:0.000000:0.000000
 :@0.148760:0.326521:0.153367:0.326521:0.153367:0.310948:0.148760:0.310948:0.000000
j) :@0.148760:0.359203:0.163097:0.359203:0.163097:0.342303:0.148760:0.342303:0.000000:0.000000:0.000000
P:@0.182004:0.359203:0.190775:0.359203:0.190775:0.342842:0.182004:0.342842:0.000000
(:@0.190591:0.359881:0.196728:0.359881:0.196728:0.344308:0.190591:0.344308:0.000000
–2,67 ≤   ≤ 1,97 =:@0.196543:0.359203:0.331931:0.359203:0.331931:0.342814:0.196543:0.342814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Z:@0.253522:0.359203:0.262809:0.359203:0.262809:0.342842:0.253522:0.342842:0.000000
) :@0.310574:0.359881:0.321133:0.359881:0.321133:0.344308:0.310574:0.344308:0.000000:0.000000
 :@0.148760:0.455946:0.153367:0.455946:0.153367:0.440373:0.148760:0.440373:0.000000
k) :@0.148760:0.488629:0.167501:0.488629:0.167501:0.471728:0.148760:0.471728:0.000000:0.000000:0.000000
P:@0.182004:0.488629:0.190775:0.488629:0.190775:0.472267:0.182004:0.472267:0.000000
(:@0.190591:0.489306:0.196728:0.489306:0.196728:0.473733:0.190591:0.473733:0.000000
–1,72 ≤   ≤ –0,11 =:@0.196543:0.488629:0.340961:0.488629:0.340961:0.472240:0.196543:0.472240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Z:@0.253522:0.488629:0.262809:0.488629:0.262809:0.472267:0.253522:0.472267:0.000000
) :@0.319603:0.489306:0.330162:0.489306:0.330162:0.473733:0.319603:0.473733:0.000000:0.000000
 :@0.148760:0.585372:0.153367:0.585372:0.153367:0.569799:0.148760:0.569799:0.000000