176:@0.067867:0.963104:0.109245:0.963104:0.109245:0.941283:0.067867:0.941283:0.000000:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.º BG:@0.120102:0.967458:0.162238:0.967458:0.162238:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tabla de la distribución :@0.115863:0.446807:0.257557:0.446807:0.257557:0.433398:0.115863:0.433398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
binomial. Tomada de: https://:@0.078442:0.459379:0.254256:0.459379:0.254256:0.445970:0.078442:0.445970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
www.ugr.es/~bioestad/_:@0.104585:0.471951:0.254255:0.471951:0.254255:0.458541:0.104585:0.458541:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
private/Tablas.pdf:@0.147555:0.484522:0.254255:0.484522:0.254255:0.471113:0.147555:0.471113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Probabilidad acumulada:@0.286308:0.515227:0.534421:0.515227:0.534421:0.493717:0.286308:0.493717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.:@0.286308:0.541572:0.300534:0.541572:0.300534:0.524672:0.286308:0.524672:0.000000:0.000000
  Una prueba de matemática está compuesta por diez preguntas de selección :@0.300534:0.541572:0.906475:0.541572:0.906475:0.525183:0.300534:0.525183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
múltiple, cada una de ellas con cuatro respuestas, solo una es correcta. Un estu-:@0.314797:0.558169:0.902467:0.558169:0.902467:0.541780:0.314797:0.541780:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diante contesta al azar. :@0.314797:0.574765:0.485177:0.574765:0.485177:0.558376:0.314797:0.558376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.314797:0.598484:0.329705:0.598484:0.329705:0.581583:0.314797:0.581583:0.000000:0.000000
  ¿Cuál es la probabilidad de que acierte al menos ocho preguntas?:@0.329705:0.598484:0.825148:0.598484:0.825148:0.582095:0.329705:0.582095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.314797:0.622203:0.331013:0.622203:0.331013:0.605302:0.314797:0.605302:0.000000:0.000000
  ¿Cuál es la probabilidad de que acierte a lo sumo tres preguntas?:@0.331013:0.622203:0.818992:0.622203:0.818992:0.605814:0.331013:0.605814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c):@0.314797:0.645922:0.328618:0.645922:0.328618:0.629021:0.314797:0.629021:0.000000:0.000000
  ¿Cuál es la media y la varianza de la distribución de probabilidad?:@0.328618:0.645922:0.820742:0.645922:0.820742:0.629533:0.328618:0.629533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso único. :@0.291121:0.205601:0.378099:0.205601:0.378099:0.190023:0.291121:0.190023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para este problema, los datos son:   = 10;    = 6;   = 30 % = 0,3.:@0.378099:0.205601:0.797056:0.205601:0.797056:0.190702:0.378099:0.190702:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.606548:0.205601:0.615192:0.205601:0.615192:0.190728:0.606548:0.190728:0.000000
X:@0.659117:0.205601:0.667359:0.205601:0.667359:0.190728:0.659117:0.190728:0.000000
p:@0.699440:0.205601:0.707867:0.205601:0.707867:0.190728:0.699440:0.190728:0.000000
Localizamos en la columna de   el valor de 10; en la columna contigua, el valor de   = 6; :@0.291121:0.227818:0.882413:0.227818:0.882413:0.212919:0.291121:0.212919:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
N:@0.495600:0.227818:0.505836:0.227818:0.505836:0.212944:0.495600:0.212944:0.000000
X:@0.842090:0.227818:0.850332:0.227818:0.850332:0.212944:0.842090:0.212944:0.000000
y en la fila de  , el valor de 0,3. El valor de la probabilidad es donde está la intersección.:@0.291121:0.242906:0.866388:0.242906:0.866388:0.228007:0.291121:0.228007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.341812:0.242906:0.345480:0.242906:0.345480:0.228007:0.341812:0.228007:0.000000
P:@0.381599:0.242906:0.389573:0.242906:0.389573:0.228032:0.381599:0.228032:0.000000
En este caso, la probabilidad de obtener seis caras o menos es de 0,989 4.:@0.291121:0.265122:0.778109:0.265122:0.778109:0.250223:0.291121:0.250223:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 1.:@0.291121:0.669709:0.343371:0.669709:0.343371:0.654131:0.291121:0.654131:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
De acuerdo con los datos, se trata de una distribución  ( ,  ).:@0.347040:0.669709:0.752125:0.669709:0.752125:0.654810:0.347040:0.654810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B n p:@0.708636:0.669709:0.744771:0.669709:0.744771:0.654835:0.708636:0.654835:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.291121:0.691925:0.299765:0.691925:0.299765:0.677052:0.291121:0.677052:0.000000
 = 10;      = 0,25;     = 0,75. :@0.299765:0.691925:0.477910:0.691925:0.477910:0.677026:0.299765:0.677026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.351027:0.691925:0.359454:0.691925:0.359454:0.677052:0.351027:0.677052:0.000000
q:@0.418137:0.691925:0.426564:0.691925:0.426564:0.677052:0.418137:0.677052:0.000000
Paso 2.:@0.291121:0.712482:0.343371:0.712482:0.343371:0.696904:0.291121:0.696904:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Probabilidad de acertar al menos ocho preguntas: quiere decir que puede acertar :@0.347040:0.712482:0.892842:0.712482:0.892842:0.697583:0.347040:0.697583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
más de ocho. Calculamos cada probabilidad en la tabla. :@0.291121:0.727570:0.664444:0.727570:0.664444:0.712671:0.291121:0.712671:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P X:@0.353738:0.753703:0.378584:0.753703:0.378584:0.738881:0.353738:0.738881:0.000000:0.000000:0.000000
8 =:@0.394692:0.753599:0.420852:0.753599:0.420852:0.738751:0.394692:0.738751:0.000000:0.000000:0.000000
[:@0.362171:0.757043:0.367945:0.757043:0.367945:0.736236:0.362171:0.736236:0.000000
] [:@0.403264:0.757043:0.437866:0.757043:0.437866:0.736236:0.403264:0.736236:0.000000:0.000000:0.000000
≥:@0.382360:0.753599:0.392087:0.753599:0.392087:0.738751:0.382360:0.738751:0.000000
P X:@0.423661:0.753703:0.448507:0.753703:0.448507:0.738881:0.423661:0.738881:0.000000:0.000000:0.000000
= 8 +:@0.452460:0.753599:0.490396:0.753599:0.490396:0.738751:0.452460:0.738751:0.000000:0.000000:0.000000:0.000000:0.000000
] [:@0.473549:0.757043:0.506654:0.757043:0.506654:0.736236:0.473549:0.736236:0.000000:0.000000:0.000000
P X:@0.492442:0.753703:0.517288:0.753703:0.517288:0.738881:0.492442:0.738881:0.000000:0.000000:0.000000
= 9 +:@0.521242:0.753599:0.559562:0.753599:0.559562:0.738751:0.521242:0.738751:0.000000:0.000000:0.000000:0.000000:0.000000
] [:@0.542719:0.757043:0.575822:0.757043:0.575822:0.736236:0.542719:0.736236:0.000000:0.000000:0.000000
P X:@0.561608:0.753703:0.586454:0.753703:0.586454:0.738881:0.561608:0.738881:0.000000:0.000000:0.000000
=10:@0.590407:0.753599:0.617456:0.753599:0.617456:0.738751:0.590407:0.738751:0.000000:0.000000:0.000000
]:@0.618388:0.757043:0.624162:0.757043:0.624162:0.736236:0.618388:0.736236:0.000000
                 =  0,004       +   0,000   +  0,000  = 0,004:@0.354445:0.774638:0.654734:0.774638:0.654734:0.759791:0.354445:0.759791:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.654942:0.774638:0.657422:0.774638:0.657422:0.759791:0.654942:0.759791:0.000000
Paso 3.:@0.291121:0.797067:0.343371:0.797067:0.343371:0.781489:0.291121:0.781489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Probabilidad de acertar a lo sumo tres preguntas: quiere decir que puede acertar :@0.347040:0.797067:0.887245:0.797067:0.887245:0.782168:0.347040:0.782168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hasta tres preguntas. Calculamos cada probabilidad en la tabla.:@0.291121:0.812155:0.709875:0.812155:0.709875:0.797256:0.291121:0.797256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P X:@0.353738:0.838293:0.378584:0.838293:0.378584:0.823471:0.353738:0.823471:0.000000:0.000000:0.000000
3 =:@0.394692:0.838189:0.420475:0.838189:0.420475:0.823341:0.394692:0.823341:0.000000:0.000000:0.000000
[:@0.362171:0.841633:0.367945:0.841633:0.367945:0.820826:0.362171:0.820826:0.000000
] [:@0.402882:0.841633:0.437489:0.841633:0.437489:0.820826:0.402882:0.820826:0.000000:0.000000:0.000000
P X:@0.423284:0.838293:0.448130:0.838293:0.448130:0.823471:0.423284:0.823471:0.000000:0.000000:0.000000
= 0 +:@0.452083:0.838189:0.490396:0.838189:0.490396:0.823341:0.452083:0.823341:0.000000:0.000000:0.000000:0.000000:0.000000
] [:@0.473554:0.841633:0.506654:0.841633:0.506654:0.820826:0.473554:0.820826:0.000000:0.000000:0.000000
P X:@0.492442:0.838293:0.517288:0.838293:0.517288:0.823471:0.492442:0.823471:0.000000:0.000000:0.000000
=1 +:@0.521242:0.838189:0.556687:0.838189:0.556687:0.823341:0.521242:0.823341:0.000000:0.000000:0.000000:0.000000
] [:@0.539841:0.841633:0.572947:0.841633:0.572947:0.820826:0.539841:0.820826:0.000000:0.000000:0.000000
P X:@0.558733:0.838293:0.583579:0.838293:0.583579:0.823471:0.558733:0.823471:0.000000:0.000000:0.000000
= 2 +:@0.587533:0.838189:0.625477:0.838189:0.625477:0.823341:0.587533:0.823341:0.000000:0.000000:0.000000:0.000000:0.000000
] [:@0.608630:0.841633:0.641736:0.841633:0.641736:0.820826:0.608630:0.820826:0.000000:0.000000:0.000000
P X:@0.627523:0.838293:0.652370:0.838293:0.652370:0.823471:0.627523:0.823471:0.000000:0.000000:0.000000
= 3:@0.656323:0.838189:0.676505:0.838189:0.676505:0.823341:0.656323:0.823341:0.000000:0.000000:0.000000
]:@0.677055:0.841633:0.682829:0.841633:0.682829:0.820826:0.677055:0.820826:0.000000
                 = 0,056 3    + 0,187 7  +  0,281 6    +  0,250 3  = 0,775 9 :@0.354445:0.859228:0.748824:0.859228:0.748824:0.844381:0.354445:0.844381:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≤:@0.383088:0.838186:0.392815:0.838186:0.392815:0.823338:0.383088:0.823338:0.000000
.:@0.744576:0.861142:0.747056:0.861142:0.747056:0.846294:0.744576:0.846294:0.000000
Paso 4.:@0.291121:0.884862:0.343371:0.884862:0.343371:0.869284:0.291121:0.869284:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La media y la varianza de la distribución es: :@0.347040:0.884862:0.635731:0.884862:0.635731:0.869963:0.347040:0.869963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
μ =:@0.638036:0.885618:0.660836:0.885618:0.660836:0.870966:0.638036:0.870966:0.000000:0.000000:0.000000
np:@0.663856:0.885150:0.680484:0.885150:0.680484:0.870328:0.663856:0.870328:0.000000:0.000000
=:@0.683267:0.885618:0.692786:0.885618:0.692786:0.870966:0.683267:0.870966:0.000000
10(0,25) 2,5:@0.695095:0.885046:0.783124:0.885046:0.783124:0.870198:0.695095:0.870198:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.751068:0.885618:0.760587:0.885618:0.760587:0.870966:0.751068:0.870966:0.000000
2:@0.361392:0.900478:0.365876:0.900478:0.365876:0.891772:0.361392:0.891772:0.000000
=:@0.370557:0.908387:0.380201:0.908387:0.380201:0.893541:0.370557:0.893541:0.000000
np:@0.383257:0.907912:0.400104:0.907912:0.400104:0.892895:0.383257:0.892895:0.000000:0.000000
(1:@0.400016:0.907806:0.412101:0.907806:0.412101:0.892764:0.400016:0.892764:0.000000:0.000000
p:@0.425642:0.907912:0.434092:0.907912:0.434092:0.892895:0.425642:0.892895:0.000000
) 10(0,25)(0,75) 1,875:@0.433618:0.907806:0.594138:0.907806:0.594138:0.892764:0.433618:0.892764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.441926:0.908387:0.451570:0.908387:0.451570:0.893541:0.441926:0.893541:0.000000
=:@0.548465:0.908387:0.558109:0.908387:0.558109:0.893541:0.548465:0.893541:0.000000
.:@0.596470:0.905296:0.599385:0.905296:0.599385:0.890397:0.596470:0.890397:0.000000
Ejemplos paso a paso:@0.285361:0.116968:0.440254:0.116968:0.440254:0.101604:0.285361:0.101604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.285358:0.144572:0.299584:0.144572:0.299584:0.127671:0.285358:0.127671:0.000000:0.000000
  Se lanza al aire una moneda trucada; la probabilidad de obtener cara es del 30 %. :@0.299584:0.144572:0.905451:0.144572:0.905451:0.128183:0.299584:0.128183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si se lanza la moneda diez veces de manera consecutiva, ¿cuál es la probabilidad :@0.313847:0.161168:0.905586:0.161168:0.905586:0.144779:0.313847:0.144779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de obtener seis caras o menos?:@0.313847:0.177765:0.542937:0.177765:0.542937:0.161376:0.313847:0.161376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cción y expresión:@0.306727:0.090870:0.431598:0.090870:0.431598:0.075506:0.306727:0.075506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.285132:0.091656:0.297220:0.091656:0.297220:0.074520:0.285132:0.074520:0.000000
           Si tenemos una :@0.100531:0.650500:0.247833:0.650500:0.247833:0.635601:0.100531:0.635601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
distribución binomial:@0.101871:0.664330:0.244166:0.664330:0.244166:0.649431:0.101871:0.649431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B(n, p) de parámetro:@0.107349:0.678160:0.244164:0.678160:0.244164:0.663261:0.107349:0.663261:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n y p, podemos :@0.140670:0.691991:0.247835:0.691991:0.247835:0.677092:0.140670:0.677092:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinar lo siguiente::@0.085638:0.705821:0.244163:0.705821:0.244163:0.690922:0.085638:0.690922:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Media o esperanza.:@0.110029:0.723210:0.244164:0.723210:0.244164:0.708097:0.110029:0.708097:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Mide el número esperado :@0.071733:0.737040:0.247833:0.737040:0.247833:0.722141:0.071733:0.722141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de éxitos o media; está :@0.092155:0.750870:0.247833:0.750870:0.247833:0.735971:0.092155:0.735971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dada como: :@0.165128:0.764701:0.247835:0.764701:0.247835:0.749802:0.165128:0.749802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
μ =:@0.199880:0.778961:0.220682:0.778961:0.220682:0.765583:0.199880:0.765583:0.000000:0.000000:0.000000
np:@0.223437:0.778534:0.238635:0.778534:0.238635:0.765001:0.223437:0.765001:0.000000:0.000000
.:@0.241249:0.778537:0.244164:0.778537:0.244164:0.763638:0.241249:0.763638:0.000000
Desviación típica. :@0.093844:0.795926:0.216120:0.795926:0.216120:0.780813:0.093844:0.780813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Es la :@0.215953:0.795926:0.247832:0.795926:0.247832:0.781027:0.215953:0.781027:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
medida de dispersión y :@0.092069:0.809756:0.247832:0.809756:0.247832:0.794857:0.092069:0.794857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mide lo alejados que están :@0.069771:0.823586:0.247832:0.823586:0.247832:0.808687:0.069771:0.808687:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los datos de la media; está :@0.073976:0.837417:0.247832:0.837417:0.247832:0.822518:0.073976:0.822518:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinada por :@0.133715:0.851247:0.247832:0.851247:0.247832:0.836348:0.133715:0.836348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.164732:0.868894:0.173423:0.868894:0.173423:0.855515:0.164732:0.855515:0.000000
np:@0.186880:0.868466:0.202077:0.868466:0.202077:0.854933:0.186880:0.854933:0.000000:0.000000
(1:@0.201951:0.868371:0.212795:0.868371:0.212795:0.854814:0.201951:0.854814:0.000000:0.000000
p:@0.225088:0.868466:0.232702:0.868466:0.232702:0.854933:0.225088:0.854933:0.000000
):@0.232243:0.868371:0.237135:0.868371:0.237135:0.854814:0.232243:0.854814:0.000000
.:@0.241249:0.868647:0.244164:0.868647:0.244164:0.853748:0.241249:0.853748:0.000000
Varianza. :@0.081464:0.886035:0.147435:0.886035:0.147435:0.870922:0.081464:0.870922:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Es el cuadrado :@0.147435:0.886035:0.247832:0.886035:0.247832:0.871136:0.147435:0.871136:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la desviación típica::@0.094313:0.899865:0.244164:0.899865:0.244164:0.884966:0.094313:0.884966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.168406:0.906605:0.172437:0.906605:0.172437:0.898778:0.168406:0.898778:0.000000
=:@0.176605:0.913748:0.185296:0.913748:0.185296:0.900369:0.176605:0.900369:0.000000
np:@0.188050:0.913320:0.203248:0.913320:0.203248:0.899787:0.188050:0.899787:0.000000:0.000000
(1:@0.203121:0.913225:0.213966:0.913225:0.213966:0.899668:0.203121:0.899668:0.000000:0.000000
p:@0.226265:0.913320:0.233880:0.913320:0.233880:0.899787:0.226265:0.899787:0.000000
):@0.233421:0.913225:0.238313:0.913225:0.238313:0.899668:0.233421:0.899668:0.000000
.:@0.241249:0.913702:0.244164:0.913702:0.244164:0.898803:0.241249:0.898803:0.000000
     Matemática:@0.115206:0.618058:0.222747:0.618058:0.222747:0.601157:0.115206:0.601157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Uso de tablas de la :@0.109309:0.149738:0.247633:0.149738:0.247633:0.134374:0.109309:0.134374:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
distribución binomial:@0.088955:0.163569:0.244166:0.163569:0.244166:0.148204:0.088955:0.148204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para el cálculo de:@0.128725:0.180957:0.244166:0.180957:0.244166:0.166058:0.128725:0.166058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la distribución binomial :@0.087045:0.194787:0.247833:0.194787:0.247833:0.179888:0.087045:0.179888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
existen tablas que:@0.124051:0.208618:0.244166:0.208618:0.244166:0.193719:0.124051:0.193719:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
facilitan la obtención de la :@0.068952:0.222448:0.247833:0.222448:0.247833:0.207549:0.068952:0.207549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
probabilidad. Para usar :@0.092942:0.236278:0.247833:0.236278:0.247833:0.221379:0.092942:0.221379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estas tablas, es necesario :@0.079188:0.250109:0.247831:0.250109:0.247831:0.235210:0.079188:0.235210:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conocer::@0.186135:0.263939:0.244166:0.263939:0.244166:0.249040:0.186135:0.249040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• el número de veces:@0.105623:0.281327:0.244164:0.281327:0.244164:0.266428:0.105623:0.266428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que se repite:@0.157522:0.295158:0.244164:0.295158:0.244164:0.280259:0.157522:0.280259:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el experimento  ; :@0.127535:0.308988:0.247833:0.308988:0.247833:0.294089:0.127535:0.294089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.232605:0.308988:0.241249:0.308988:0.241249:0.294114:0.232605:0.294114:0.000000
• la probabilidad:@0.136129:0.326376:0.244166:0.326376:0.244166:0.311477:0.136129:0.311477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de éxito  ;:@0.175447:0.340207:0.244164:0.340207:0.244164:0.325308:0.175447:0.325308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.232822:0.340207:0.241249:0.340207:0.241249:0.325333:0.232822:0.325333:0.000000
• el número de éxitos  .:@0.090529:0.357595:0.244164:0.357595:0.244164:0.342696:0.090529:0.342696:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.234364:0.357595:0.241249:0.357595:0.241249:0.342721:0.234364:0.342721:0.000000
    Comunicacional:@0.100947:0.117297:0.237007:0.117297:0.237007:0.100397:0.100947:0.100397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000