﻿129:@0.918240:0.966765:0.943652:0.966765:0.943652:0.950778:0.918240:0.950778:0.000000:0.000000:0.000000
De acuerdo con el diagrama del árbol, podemos llenar nuestra fun-:@0.108233:0.103323:0.595758:0.103323:0.595758:0.086825:0.108233:0.086825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ción de probabilidad  ( ).:@0.108233:0.120674:0.286396:0.120674:0.286396:0.104176:0.108233:0.104176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.259964:0.120790:0.277688:0.120790:0.277688:0.104321:0.259964:0.104321:0.000000:0.000000:0.000000
La  interpretación  que  damos  a  la  función  de  probabilidad  es  la :@0.108233:0.236346:0.599909:0.236346:0.599909:0.219848:0.108233:0.219848:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.595760:0.236346:0.599902:0.236346:0.599902:0.219848:0.595760:0.219848:0.000000
siguiente::@0.108233:0.253696:0.174005:0.253696:0.174005:0.237199:0.108233:0.237199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p[  = 0] = 1/4;  es la probabilidad de obtener cero caras.:@0.108233:0.288398:0.503223:0.288398:0.503223:0.271900:0.108233:0.271900:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.123780:0.288513:0.131255:0.288513:0.131255:0.272045:0.123780:0.272045:0.000000
p[  = 1] = 1/2;  es la probabilidad de obtener una cara.:@0.108233:0.305749:0.493359:0.305749:0.493359:0.289251:0.108233:0.289251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.123780:0.305864:0.131255:0.305864:0.131255:0.289395:0.123780:0.289395:0.000000
p[  = 2] = 1/4;  es la probabilidad de obtener dos caras.:@0.108233:0.323099:0.498193:0.323099:0.498193:0.306602:0.108233:0.306602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.123780:0.323215:0.131255:0.323215:0.131255:0.306746:0.123780:0.306746:0.000000
Función de distribución:@0.108233:0.359191:0.298585:0.359191:0.298585:0.341508:0.108233:0.341508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea   una variable aleatoria discreta que toma los valores  ,   ,…  , :@0.108233:0.375898:0.599909:0.375898:0.599909:0.359401:0.108233:0.359401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X:@0.137073:0.376014:0.147033:0.376014:0.147033:0.359545:0.137073:0.359545:0.000000
x x:@0.520525:0.376014:0.547838:0.376014:0.547838:0.359545:0.520525:0.359545:0.000000:0.000000:0.000000
1:@0.527936:0.379175:0.532889:0.379175:0.532889:0.369557:0.527936:0.369557:0.000000
2:@0.547831:0.379175:0.552784:0.379175:0.552784:0.369557:0.547831:0.369557:0.000000
x:@0.580026:0.376014:0.587501:0.376014:0.587501:0.359545:0.580026:0.359545:0.000000
n:@0.587487:0.379175:0.593103:0.379175:0.593103:0.369557:0.587487:0.369557:0.000000
se define la función de distribución de   como::@0.108241:0.393249:0.442352:0.393249:0.442352:0.376751:0.108241:0.376751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X:@0.383709:0.393365:0.393669:0.393365:0.393669:0.376896:0.383709:0.376896:0.000000
F x:@0.246681:0.428066:0.267661:0.428066:0.267661:0.411598:0.246681:0.411598:0.000000:0.000000:0.000000
( ) =  (  ≤  ) =        [  =  ].:@0.254233:0.427951:0.457330:0.427951:0.457330:0.411453:0.254233:0.411453:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p X x:@0.292705:0.428066:0.344452:0.428066:0.344452:0.411598:0.292705:0.411598:0.000000:0.000000:0.000000:0.000000:0.000000
p X x:@0.394349:0.428066:0.445999:0.428066:0.445999:0.411598:0.394349:0.411598:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.445946:0.431295:0.448159:0.431295:0.448159:0.421694:0.445946:0.421694:0.000000
Ejercicio resuelto:@0.108225:0.463028:0.226203:0.463028:0.226203:0.446241:0.108225:0.446241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En el ejemplo que estamos :@0.108225:0.480003:0.302395:0.480003:0.302395:0.463505:0.108225:0.463505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tratando::@0.108225:0.497354:0.173515:0.497354:0.173515:0.480856:0.108225:0.480856:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.108225:0.532171:0.115777:0.532171:0.115777:0.515702:0.108225:0.515702:0.000000
(0) =  [  ≤ 0] =  [  = 0] = 1/4.:@0.115777:0.532055:0.336576:0.532055:0.336576:0.515558:0.115777:0.515558:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p X:@0.155270:0.532171:0.180354:0.532171:0.180354:0.515702:0.155270:0.515702:0.000000:0.000000:0.000000
p X:@0.232890:0.532171:0.257974:0.532171:0.257974:0.515702:0.232890:0.515702:0.000000:0.000000:0.000000
F:@0.108225:0.549522:0.115777:0.549522:0.115777:0.533053:0.108225:0.533053:0.000000
(1) =  [  ≤ 1] =  [  = 0] +  [  = 1] = 1/4 + 1/2 = 3/4.:@0.115777:0.549406:0.499001:0.549406:0.499001:0.532908:0.115777:0.532908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p X:@0.155270:0.549522:0.180354:0.549522:0.180354:0.533053:0.155270:0.533053:0.000000:0.000000:0.000000
p X:@0.232890:0.549522:0.257974:0.549522:0.257974:0.533053:0.232890:0.533053:0.000000:0.000000:0.000000
p X:@0.310510:0.549522:0.335593:0.549522:0.335593:0.533053:0.310510:0.533053:0.000000:0.000000:0.000000
F:@0.108225:0.566872:0.115777:0.566872:0.115777:0.550404:0.108225:0.550404:0.000000
(2) =  [  ≤ 2] =  [  = 0] +  [  = 1] +  [  = 2] = 1/4 + 1/2 + 1/4 = 1.:@0.115777:0.566757:0.595886:0.566757:0.595886:0.550259:0.115777:0.550259:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p X:@0.154577:0.566872:0.179660:0.566872:0.179660:0.550404:0.154577:0.550404:0.000000:0.000000:0.000000
p X:@0.230810:0.566872:0.255893:0.566872:0.255893:0.550404:0.230810:0.550404:0.000000:0.000000:0.000000
p X:@0.307042:0.566872:0.332125:0.566872:0.332125:0.550404:0.307042:0.550404:0.000000:0.000000:0.000000
p X:@0.383275:0.566872:0.408358:0.566872:0.408358:0.550404:0.383275:0.550404:0.000000:0.000000:0.000000
 :@0.108225:0.584107:0.112367:0.584107:0.112367:0.567610:0.108225:0.567610:0.000000
La función de distribución se puede expresar así::@0.108225:0.601458:0.451275:0.601458:0.451275:0.584961:0.108225:0.584961:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F x:@0.108225:0.651356:0.129205:0.651356:0.129205:0.634887:0.108225:0.634887:0.000000:0.000000:0.000000
( ) =:@0.115777:0.651240:0.150107:0.651240:0.150107:0.634743:0.115777:0.634743:0.000000:0.000000:0.000000:0.000000:0.000000
Los gráficos de la función de probabilidad  y de la función de distribu-:@0.108225:0.710421:0.595807:0.710421:0.595807:0.693923:0.108225:0.693923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ción se muestran a continuación.:@0.108225:0.727772:0.343184:0.727772:0.343184:0.711274:0.108225:0.711274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Número de caras en el lanzamiento :@0.307799:0.152547:0.549465:0.152547:0.549465:0.137286:0.307799:0.137286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de una moneda dos veces:@0.339919:0.168389:0.513603:0.168389:0.513603:0.153128:0.339919:0.153128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Valores de v.a.d:@0.131512:0.185815:0.235274:0.185815:0.235274:0.170554:0.131512:0.170554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.295926:0.185723:0.302751:0.185723:0.302751:0.170686:0.295926:0.170686:0.000000
i:@0.302718:0.188669:0.304738:0.188669:0.304738:0.179903:0.302718:0.179903:0.000000
0:@0.380744:0.185616:0.388501:0.185616:0.388501:0.170553:0.380744:0.170553:0.000000
1:@0.465036:0.185616:0.472793:0.185616:0.472793:0.170553:0.465036:0.170553:0.000000
2:@0.549327:0.185616:0.557084:0.185616:0.557084:0.170553:0.549327:0.170553:0.000000
Probabilidad:@0.140394:0.203240:0.226390:0.203240:0.226390:0.187979:0.140394:0.187979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P X x:@0.272372:0.203385:0.320463:0.203385:0.320463:0.188058:0.272372:0.188058:0.000000:0.000000:0.000000:0.000000:0.000000
[  =  ]:@0.280851:0.203240:0.328287:0.203239:0.328287:0.187978:0.280851:0.187979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.320400:0.206234:0.322605:0.206234:0.322605:0.197298:0.320400:0.197298:0.000000
1/4:@0.373986:0.203041:0.395269:0.203041:0.395269:0.187978:0.373986:0.187978:0.000000:0.000000:0.000000
1/2:@0.458277:0.203041:0.479561:0.203041:0.479561:0.187978:0.458277:0.187978:0.000000:0.000000:0.000000
1/4:@0.542568:0.203041:0.563852:0.203041:0.563852:0.187978:0.542568:0.187978:0.000000:0.000000:0.000000
∑:@0.375836:0.432787:0.391215:0.432787:0.391215:0.406964:0.375836:0.406964:0.000000
x x:@0.375578:0.438484:0.392422:0.438484:0.392422:0.428883:0.375578:0.428883:0.000000:0.000000:0.000000
i:@0.379935:0.439776:0.381763:0.439776:0.381763:0.431844:0.379935:0.431844:0.000000
<:@0.381763:0.438417:0.388064:0.438417:0.388064:0.428798:0.381763:0.428798:0.000000
x:@0.359829:0.484740:0.366918:0.484740:0.366918:0.469413:0.359829:0.469413:0.000000
i:@0.366847:0.487589:0.369051:0.487589:0.369051:0.478653:0.366847:0.478653:0.000000
0:@0.430011:0.484397:0.437769:0.484397:0.437769:0.469334:0.430011:0.469334:0.000000
1:@0.494602:0.484397:0.502359:0.484397:0.502359:0.469334:0.494602:0.469334:0.000000
2:@0.559193:0.484397:0.566950:0.484397:0.566950:0.469334:0.559193:0.469334:0.000000
P X x:@0.336503:0.502167:0.384594:0.502167:0.384594:0.486840:0.336503:0.486840:0.000000:0.000000:0.000000:0.000000:0.000000
[  =  ]:@0.344981:0.502021:0.392393:0.502020:0.392393:0.486759:0.344981:0.486760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.384507:0.505015:0.386712:0.505015:0.386712:0.496080:0.384507:0.496080:0.000000
1/4:@0.423246:0.501822:0.444530:0.501822:0.444530:0.486759:0.423246:0.486759:0.000000:0.000000:0.000000
1/2:@0.487837:0.501822:0.509120:0.501822:0.509120:0.486759:0.487837:0.486759:0.000000:0.000000:0.000000
1/4:@0.552427:0.501822:0.573711:0.501822:0.573711:0.486759:0.552427:0.486759:0.000000:0.000000:0.000000
0,  :@0.180309:0.623875:0.199843:0.623875:0.199843:0.607377:0.180309:0.607377:0.000000:0.000000:0.000000:0.000000
si   < 0,:@0.251531:0.623875:0.303548:0.623875:0.303548:0.607377:0.251531:0.607377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.265730:0.623990:0.273205:0.623990:0.273205:0.607522:0.265730:0.607522:0.000000
1/4,  :@0.180308:0.642729:0.214659:0.642729:0.214659:0.626231:0.180308:0.626231:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
si 0 ≤   < 1,:@0.251531:0.642729:0.331135:0.642729:0.331135:0.626231:0.251531:0.626231:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.293318:0.642845:0.300793:0.642845:0.300793:0.626376:0.293318:0.626376:0.000000
3/4,  :@0.180308:0.661584:0.214659:0.661584:0.214659:0.645086:0.180308:0.645086:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
si 1 ≤   < 2,:@0.251531:0.661584:0.331135:0.661584:0.331135:0.645086:0.251531:0.645086:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.293318:0.661699:0.300793:0.661699:0.300793:0.645231:0.293318:0.645231:0.000000
1,  :@0.180308:0.680438:0.199843:0.680438:0.199843:0.663940:0.180308:0.663940:0.000000:0.000000:0.000000:0.000000
si   ≥ 2.:@0.251531:0.680438:0.303548:0.680438:0.303548:0.663940:0.251531:0.663940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.265730:0.680554:0.273205:0.680554:0.273205:0.664085:0.265730:0.664085:0.000000
p:@0.108231:0.929894:0.119711:0.929894:0.119711:0.919869:0.108231:0.919869:0.000000
 :@0.119711:0.930602:0.122593:0.930602:0.122593:0.919125:0.119711:0.919125:0.000000
Ilustración 1. Función de probabilidad:@0.122593:0.930602:0.309319:0.930602:0.309319:0.919125:0.122593:0.919125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,0:@0.131135:0.897419:0.144872:0.897419:0.144872:0.885942:0.131135:0.885942:0.000000:0.000000:0.000000
0:@0.207044:0.903595:0.212954:0.903595:0.212954:0.892118:0.207044:0.892118:0.000000
1:@0.294411:0.903595:0.300321:0.903595:0.300321:0.892118:0.294411:0.892118:0.000000
2:@0.381778:0.903595:0.387688:0.903595:0.387688:0.892118:0.381778:0.892118:0.000000
0,1:@0.131122:0.876930:0.144859:0.876930:0.144859:0.865453:0.131122:0.865453:0.000000:0.000000:0.000000
0,2:@0.131122:0.854650:0.144859:0.854650:0.144859:0.843174:0.131122:0.843174:0.000000:0.000000:0.000000
0,3:@0.131122:0.832542:0.144859:0.832542:0.144859:0.821065:0.131122:0.821065:0.000000:0.000000:0.000000
0,4:@0.131122:0.812425:0.144859:0.812425:0.144859:0.800949:0.131122:0.800949:0.000000:0.000000:0.000000
0,5:@0.131122:0.792308:0.144859:0.792308:0.144859:0.780832:0.131122:0.780832:0.000000:0.000000:0.000000
0,6:@0.131122:0.769677:0.144859:0.769677:0.144859:0.758200:0.131122:0.758200:0.000000:0.000000:0.000000
p:@0.500000:0.929894:0.511480:0.929894:0.511480:0.919869:0.500000:0.919869:0.000000
 :@0.511480:0.930602:0.514361:0.930602:0.514361:0.919125:0.511480:0.919125:0.000000
Ilustración 2. Función de distribución:@0.514361:0.930602:0.697137:0.930602:0.697137:0.919125:0.514361:0.919125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.513009:0.907763:0.518920:0.907763:0.518920:0.896286:0.513009:0.896286:0.000000
0,2:@0.505628:0.883062:0.517648:0.883062:0.517648:0.873020:0.505628:0.873020:0.000000:0.000000:0.000000
0,4:@0.505628:0.865239:0.517648:0.865239:0.517648:0.855197:0.505628:0.855197:0.000000:0.000000:0.000000
0,6:@0.505628:0.847417:0.517648:0.847417:0.517648:0.837375:0.505628:0.837375:0.000000:0.000000:0.000000
0,8:@0.505628:0.829595:0.517648:0.829595:0.517648:0.819553:0.505628:0.819553:0.000000:0.000000:0.000000
1,0:@0.505628:0.811773:0.517648:0.811773:0.517648:0.801731:0.505628:0.801731:0.000000:0.000000:0.000000
x:@0.834964:0.910090:0.840164:0.910090:0.840164:0.898633:0.834964:0.898633:0.000000
y:@0.509297:0.797305:0.514645:0.797305:0.514645:0.785848:0.509297:0.785848:0.000000
1 1,2:@0.616725:0.910159:0.644306:0.910159:0.644306:0.900117:0.616725:0.900117:0.000000:0.000000:0.000000:0.000000:0.000000
2 2,2:@0.711700:0.910159:0.739281:0.910159:0.739281:0.900117:0.711700:0.900117:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.806674:0.910159:0.811845:0.910159:0.811845:0.900117:0.806674:0.900117:0.000000
0,8:@0.594304:0.910159:0.606324:0.910159:0.606324:0.900117:0.594304:0.900117:0.000000:0.000000:0.000000
1,8:@0.689278:0.910159:0.701298:0.910159:0.701298:0.900117:0.689278:0.900117:0.000000:0.000000:0.000000
2,8:@0.784253:0.910159:0.796272:0.910159:0.796272:0.900117:0.784253:0.900117:0.000000:0.000000:0.000000
0,6:@0.575307:0.910159:0.587326:0.910159:0.587326:0.900117:0.575307:0.900117:0.000000:0.000000:0.000000
1,6:@0.670281:0.910159:0.682301:0.910159:0.682301:0.900117:0.670281:0.900117:0.000000:0.000000:0.000000
2,6:@0.765255:0.910159:0.777275:0.910159:0.777275:0.900117:0.765255:0.900117:0.000000:0.000000:0.000000
0,4:@0.556309:0.910159:0.568329:0.910159:0.568329:0.900117:0.556309:0.900117:0.000000:0.000000:0.000000
1,4:@0.651284:0.910159:0.663304:0.910159:0.663304:0.900117:0.651284:0.900117:0.000000:0.000000:0.000000
2,4:@0.746258:0.910159:0.758278:0.910159:0.758278:0.900117:0.746258:0.900117:0.000000:0.000000:0.000000
0,2:@0.537312:0.910159:0.549332:0.910159:0.549332:0.900117:0.537312:0.900117:0.000000:0.000000:0.000000
Competencia :@0.684408:0.468325:0.782031:0.468325:0.782031:0.452853:0.684408:0.452853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunicacional:@0.684408:0.480893:0.796367:0.480893:0.796367:0.465421:0.684408:0.465421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 En la vida cotidiana :@0.677836:0.505368:0.808673:0.505368:0.808673:0.490305:0.677836:0.490305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
observamos varios fenómenos :@0.638100:0.521210:0.836692:0.521210:0.836692:0.506147:0.638100:0.506147:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aleatorios, cuyos resultados se :@0.638100:0.537052:0.832592:0.537052:0.832592:0.521989:0.638100:0.521989:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
expresan mediante números. :@0.638100:0.552894:0.827422:0.552894:0.827422:0.537831:0.638100:0.537831:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por ejemplo, el número de :@0.638100:0.568736:0.810958:0.568736:0.810958:0.553673:0.638100:0.553673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
personas en la sala de un cine, la :@0.638100:0.584578:0.847686:0.584578:0.847686:0.569515:0.638100:0.569515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
velocidad de conexión a la red, :@0.638100:0.600420:0.839153:0.600420:0.839153:0.585357:0.638100:0.585357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el número de estudiantes apro-:@0.638100:0.616262:0.837958:0.616262:0.837958:0.601199:0.638100:0.601199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bados o reprobados, el número :@0.638100:0.632104:0.842178:0.632104:0.842178:0.617041:0.638100:0.617041:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de pacientes que se clasifican :@0.638100:0.647946:0.828704:0.647946:0.828704:0.632883:0.638100:0.632883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en ‘sanos’ y ‘enfermos’. En todas :@0.638100:0.663788:0.842197:0.663788:0.842197:0.648725:0.638100:0.648725:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estas situaciones, de forma in-:@0.638100:0.679630:0.829197:0.679630:0.829197:0.664567:0.638100:0.664567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
consciente, estamos trabajando :@0.638100:0.695472:0.843863:0.695472:0.843863:0.680409:0.638100:0.680409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con variables aleatorias discretas.:@0.638100:0.711314:0.846257:0.711314:0.846257:0.696251:0.638100:0.696251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Escribe:@0.638100:0.734707:0.688476:0.734707:0.688476:0.719235:0.638100:0.719235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 otros ejemplos simila-:@0.688476:0.734285:0.833823:0.734285:0.833823:0.719221:0.688476:0.719221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
res de fenómenos aleatorios.:@0.638100:0.750127:0.821932:0.750127:0.821932:0.735063:0.638100:0.735063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.684408:0.103133:0.782031:0.103133:0.782031:0.087661:0.684408:0.087661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.684408:0.115701:0.768471:0.115701:0.768471:0.100229:0.684408:0.100229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las propiedades de la :@0.684646:0.140176:0.827350:0.140176:0.827350:0.125113:0.684646:0.125113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función de probabilidad son::@0.638103:0.156018:0.823657:0.156018:0.823657:0.140955:0.638103:0.140955:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p X x:@0.638103:0.179094:0.685051:0.179094:0.685051:0.164058:0.638103:0.164058:0.000000:0.000000:0.000000:0.000000:0.000000
[  =  ] > 0 :@0.646529:0.178989:0.721159:0.178987:0.721159:0.163924:0.646529:0.163926:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.684985:0.182042:0.687005:0.182042:0.687005:0.173276:0.684985:0.173276:0.000000
∑:@0.639284:0.214963:0.653325:0.214963:0.653325:0.191387:0.639284:0.191387:0.000000
n:@0.644050:0.196880:0.649034:0.196880:0.649034:0.188113:0.644050:0.188113:0.000000
i:@0.640118:0.221105:0.642138:0.221105:0.642138:0.212339:0.640118:0.212339:0.000000
=1:@0.643164:0.221043:0.653439:0.221043:0.653439:0.212262:0.643164:0.212262:0.000000:0.000000
 p X x:@0.655415:0.211029:0.706109:0.211029:0.706109:0.195992:0.655415:0.195992:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[  =  ] = 1; :@0.667587:0.210923:0.744695:0.210923:0.744695:0.195860:0.667587:0.195860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.706037:0.213978:0.708057:0.213978:0.708057:0.205211:0.706037:0.205211:0.000000
es decir,:@0.638100:0.237458:0.688564:0.237458:0.688564:0.222395:0.638100:0.222395:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p X x:@0.638100:0.253406:0.685047:0.253406:0.685047:0.238369:0.638100:0.238369:0.000000:0.000000:0.000000:0.000000:0.000000
[  =  ] +  [  =  ] +…:@0.646525:0.253300:0.796201:0.253299:0.796201:0.238236:0.646525:0.238237:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.685020:0.256292:0.689542:0.256292:0.689542:0.247510:0.685020:0.247510:0.000000
p X x:@0.712159:0.253405:0.759107:0.253405:0.759107:0.238368:0.712159:0.238368:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.759070:0.256292:0.763593:0.256292:0.763593:0.247510:0.759070:0.247510:0.000000
+  [  =  ] = 1.:@0.638102:0.269141:0.736581:0.269141:0.736581:0.254078:0.638102:0.254078:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p X x:@0.651682:0.269247:0.698629:0.269247:0.698629:0.254210:0.651682:0.254210:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.698599:0.272134:0.703727:0.272134:0.703727:0.263352:0.698599:0.263352:0.000000
Las propiedades de la función de :@0.638112:0.300825:0.850054:0.300825:0.850054:0.285762:0.638112:0.285762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
distribución son las siguientes::@0.638112:0.316667:0.830230:0.316667:0.830230:0.301604:0.638112:0.301604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•:@0.638112:0.340285:0.645201:0.340285:0.645201:0.324588:0.638112:0.324588:0.000000
 La función es creciente, con:@0.645166:0.339638:0.827606:0.339638:0.827606:0.324575:0.645166:0.324575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lím F x:@0.638112:0.362714:0.681102:0.362714:0.681102:0.347678:0.638112:0.347678:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) = 0  y  :@0.668877:0.362609:0.733644:0.362609:0.733644:0.347546:0.668877:0.347546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lím F x:@0.733608:0.362714:0.776598:0.362714:0.776598:0.347678:0.733608:0.347678:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) = 1:@0.764373:0.362609:0.807047:0.362609:0.807047:0.347546:0.764373:0.347546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.638108:0.371614:0.642658:0.371614:0.642658:0.361590:0.638108:0.361590:0.000000
→–:@0.642658:0.375449:0.656107:0.375449:0.656107:0.365086:0.642658:0.365086:0.000000:0.000000
∞:@0.656105:0.371544:0.664208:0.371544:0.664208:0.361502:0.656105:0.361502:0.000000
x:@0.735882:0.371614:0.740432:0.371614:0.740432:0.361590:0.735882:0.361590:0.000000
→:@0.740430:0.375449:0.748853:0.375449:0.748853:0.365086:0.740430:0.365086:0.000000
∞:@0.748851:0.371544:0.756955:0.371544:0.756955:0.361502:0.748851:0.361502:0.000000
•:@0.638108:0.396282:0.645197:0.396282:0.645197:0.380586:0.638108:0.380586:0.000000
  [  <   ≤  ] =  [  ≤  ] – :@0.645162:0.395636:0.812021:0.395636:0.812021:0.380572:0.645162:0.380572:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p a x b:@0.648908:0.395741:0.720711:0.395741:0.720711:0.380704:0.648908:0.380704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p x b:@0.743314:0.395741:0.789628:0.395741:0.789628:0.380704:0.743314:0.380704:0.000000:0.000000:0.000000:0.000000:0.000000
p x a:@0.638108:0.411583:0.684159:0.411583:0.684159:0.396546:0.638108:0.396546:0.000000:0.000000:0.000000:0.000000:0.000000
[  ≤  ]:@0.646534:0.411478:0.689471:0.411478:0.689471:0.396414:0.646534:0.396414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•:@0.638108:0.435095:0.645197:0.435095:0.645197:0.419399:0.638108:0.419399:0.000000
  [  >  ] = 1 –  [  ≤  ].:@0.645162:0.434448:0.796172:0.434448:0.796172:0.419385:0.645162:0.419385:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p x a:@0.648908:0.434554:0.694959:0.434554:0.694959:0.419517:0.648908:0.419517:0.000000:0.000000:0.000000:0.000000:0.000000
p x a:@0.742329:0.434554:0.788380:0.434554:0.788380:0.419517:0.742329:0.419517:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000