128:@0.053974:0.966765:0.079386:0.966765:0.079386:0.950778:0.053974:0.950778:0.000000:0.000000:0.000000
Variables aleatorias:@0.404235:0.127666:0.647479:0.127666:0.647479:0.083007:0.404235:0.083007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.3.14. Reconocer variables aleatorias discretas, cuyo recorrido es un conjunto discreto, en ejemplos numéricos y experimentos, y la distribución de probabilidad para una variable :@0.143847:0.921826:0.895117:0.921826:0.895117:0.911784:0.143847:0.911784:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aleatoria discreta como una función real a partir del cálculo de probabilidades acumuladas definidas bajo ciertas condiciones dadas. :@0.143847:0.930627:0.684032:0.930627:0.684032:0.920585:0.143847:0.920585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.3.12. Identificar variables aleatorias de manera intuitiva y de manera formal como una función real y aplicando la función aditiva de conjuntos, determinar la función de probabilidad :@0.143847:0.939428:0.895019:0.939428:0.895019:0.929386:0.143847:0.929386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la resolución de problemas.:@0.143847:0.948229:0.268430:0.948229:0.268430:0.938187:0.143847:0.938187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.3.16. Resolver y plantear problemas que involucren el trabajo con probabilidades y variables aleatorias discretas.:@0.143847:0.957030:0.613170:0.957030:0.613170:0.946988:0.143847:0.946988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una variable :@0.404236:0.163911:0.498559:0.163911:0.498559:0.147414:0.404236:0.147414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aleatoria:@0.500216:0.164128:0.564022:0.164128:0.564022:0.147414:0.500216:0.147414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 es un valor numérico que corresponde a un :@0.564003:0.163911:0.895938:0.163911:0.895938:0.147414:0.564003:0.147414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resultado de un experimento aleatorio.:@0.404236:0.180250:0.680132:0.180250:0.680132:0.163752:0.404236:0.163752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición :@0.404236:0.213404:0.491103:0.213404:0.491103:0.196458:0.404236:0.196458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Se le llama :@0.484322:0.212942:0.567625:0.212942:0.567625:0.196444:0.484322:0.196444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
variable aleatoria:@0.566873:0.213158:0.691866:0.213158:0.691866:0.196444:0.566873:0.196444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 a cualquier función definida :@0.691886:0.212942:0.895886:0.212942:0.895886:0.196444:0.691886:0.196444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en un espacio muestral (:@0.404236:0.229280:0.581590:0.229280:0.581590:0.212782:0.404236:0.212782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ω):@0.581582:0.236877:0.601742:0.236877:0.601742:0.217878:0.581582:0.217878:0.000000:0.000000
 con recorrido en un :@0.601747:0.229291:0.754443:0.229291:0.754443:0.212793:0.601747:0.212793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
subconjunto:@0.755137:0.229508:0.849132:0.229508:0.849132:0.212793:0.755137:0.212793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 finito :@0.849132:0.229291:0.895927:0.229291:0.895927:0.212793:0.849132:0.212793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o infinito de  .:@0.404240:0.245629:0.511894:0.245629:0.511894:0.229132:0.404240:0.229132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.495229:0.244661:0.509139:0.244661:0.509139:0.231214:0.495229:0.231214:0.000000
Tenemos, entonces, la función  ::@0.404240:0.278321:0.635557:0.278321:0.635557:0.261824:0.404240:0.261824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X:@0.622842:0.278437:0.632803:0.278437:0.632803:0.261968:0.622842:0.261968:0.000000
donde   es un evento y   es una variable aleatoria.:@0.404240:0.311013:0.764535:0.311013:0.764535:0.294515:0.404240:0.294515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
w:@0.455273:0.311129:0.467487:0.311129:0.467487:0.294660:0.455273:0.294660:0.000000
X:@0.578744:0.311129:0.588704:0.311129:0.588704:0.294660:0.578744:0.294660:0.000000
Por ejemplo, al lanzar una moneda al aire tenemos dos eventos: que :@0.404240:0.343705:0.895849:0.343705:0.895849:0.327207:0.404240:0.327207:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
salga cara ( ) o que salga sello ( ). La variable aleatoria   se puede :@0.404240:0.360043:0.895868:0.360043:0.895868:0.343546:0.404240:0.343546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.485712:0.360159:0.495749:0.360159:0.495749:0.343690:0.485712:0.343690:0.000000
S:@0.639314:0.360159:0.647194:0.360159:0.647194:0.343690:0.639314:0.343690:0.000000
X:@0.810139:0.360159:0.820099:0.360159:0.820099:0.343690:0.810139:0.343690:0.000000
definir de la siguiente manera::@0.404240:0.376382:0.616232:0.376382:0.616232:0.359884:0.404240:0.359884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X w:@0.488641:0.399964:0.516768:0.399964:0.516768:0.383496:0.488641:0.383496:0.000000:0.000000:0.000000
( ) = 1 si “sale cara”;    ( ) = 0 si “sale sello”.:@0.498601:0.399849:0.807382:0.399849:0.807382:0.383351:0.498601:0.383351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X w:@0.653782:0.399964:0.681910:0.399964:0.681910:0.383496:0.653782:0.383496:0.000000:0.000000:0.000000
Las variables aleatorias se clasifican en discretas y continuas. En este :@0.404240:0.432540:0.895939:0.432540:0.895939:0.416043:0.404240:0.416043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
texto, centraremos nuestro estudio en las primeras.:@0.404240:0.448879:0.765615:0.448879:0.765615:0.432381:0.404240:0.432381:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Variable aleatoria discreta:@0.404236:0.482235:0.613921:0.482235:0.613921:0.464553:0.404236:0.464553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición :@0.404236:0.498400:0.491103:0.498400:0.491103:0.481454:0.404236:0.481454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Una variable aleatoria discreta es aquella que solo puede :@0.484322:0.497937:0.895882:0.497937:0.895882:0.481439:0.484322:0.481439:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tomar valores dentro de un conjunto finito o infinito numerable.:@0.404236:0.514276:0.863711:0.514276:0.863711:0.497778:0.404236:0.497778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Función de probabilidad:@0.404236:0.547615:0.600738:0.547615:0.600738:0.529932:0.404236:0.529932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea   la variable aleatoria discreta que toma los valores  ,   ,…  , se  :@0.404236:0.563317:0.895914:0.563317:0.895914:0.546819:0.404236:0.546819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X:@0.432787:0.563432:0.442747:0.563432:0.442747:0.546964:0.432787:0.546964:0.000000
x x:@0.798342:0.563432:0.825412:0.563432:0.825412:0.546964:0.798342:0.546964:0.000000:0.000000:0.000000
1:@0.805798:0.566595:0.810751:0.566595:0.810751:0.556977:0.805798:0.556977:0.000000
2:@0.825410:0.566595:0.830363:0.566595:0.830363:0.556977:0.825410:0.556977:0.000000
x:@0.857027:0.563432:0.864502:0.563432:0.864502:0.546964:0.857027:0.546964:0.000000
n:@0.864497:0.566595:0.870112:0.566595:0.870112:0.556977:0.864497:0.556977:0.000000
define la función de probabilidad   como::@0.404228:0.579655:0.703319:0.579655:0.703319:0.563158:0.404228:0.563158:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X:@0.644675:0.579771:0.654636:0.579771:0.654636:0.563302:0.644675:0.563302:0.000000
p X x:@0.577307:0.603238:0.629053:0.603238:0.629053:0.586769:0.577307:0.586769:0.000000:0.000000:0.000000:0.000000:0.000000
(  =  ) =  ;     ≥ 1.:@0.586573:0.603122:0.718689:0.603134:0.718689:0.586637:0.586573:0.586625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.629027:0.606480:0.631239:0.606480:0.631239:0.596878:0.629027:0.596878:0.000000
p i:@0.656283:0.603250:0.688346:0.603250:0.688346:0.586781:0.656283:0.586781:0.000000:0.000000:0.000000
i:@0.665473:0.606480:0.667686:0.606480:0.667686:0.596878:0.665473:0.596878:0.000000
Una vez que se han determinado las probabilidades asociadas a cada :@0.404241:0.635826:0.895979:0.635826:0.895979:0.619328:0.404241:0.619328:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
uno de los valores de una variable aleatoria discreta (v.a.d.), se orga-:@0.404241:0.652165:0.891724:0.652165:0.891724:0.635667:0.404241:0.635667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
niza la información en una tabla con todos los posibles valores y las :@0.404241:0.668503:0.895925:0.668503:0.895925:0.652005:0.404241:0.652005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
correspondientes probabilidades.:@0.404241:0.684842:0.639582:0.684842:0.639582:0.668344:0.404241:0.668344:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ω:@0.654036:0.276333:0.666549:0.276333:0.666549:0.257334:0.654036:0.257334:0.000000
   :@0.666554:0.268746:0.690982:0.268746:0.690982:0.252249:0.666554:0.252249:0.000000:0.000000:0.000000
→:@0.670696:0.276845:0.686840:0.276845:0.686840:0.256982:0.670696:0.256982:0.000000
R:@0.690982:0.267777:0.704891:0.267777:0.704891:0.254331:0.690982:0.254331:0.000000
w:@0.654031:0.286213:0.666245:0.286213:0.666245:0.269744:0.654031:0.269744:0.000000
    ( ):@0.666245:0.286097:0.724754:0.286097:0.724754:0.269599:0.666245:0.269599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
→:@0.670387:0.294196:0.686532:0.294196:0.686532:0.274333:0.670387:0.274333:0.000000
X w ':@0.690674:0.286213:0.727066:0.286213:0.727066:0.269744:0.690674:0.269744:0.000000:0.000000:0.000000:0.000000:0.000000
Variable aleatoria discreta:@0.411522:0.727120:0.585364:0.727120:0.585364:0.711859:0.411522:0.711859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.609198:0.725773:0.616023:0.725773:0.616023:0.710737:0.609198:0.710737:0.000000
i:@0.615983:0.728718:0.618003:0.728718:0.618003:0.719951:0.615983:0.719951:0.000000
x:@0.650664:0.725770:0.657489:0.725770:0.657489:0.710733:0.650664:0.710733:0.000000
1:@0.657487:0.728656:0.662010:0.728656:0.662010:0.719874:0.657487:0.719874:0.000000
x:@0.693401:0.725770:0.700226:0.725770:0.700226:0.710733:0.693401:0.710733:0.000000
2:@0.700226:0.728656:0.704748:0.728656:0.704748:0.719874:0.700226:0.719874:0.000000
x:@0.736140:0.725770:0.742965:0.725770:0.742965:0.710733:0.736140:0.710733:0.000000
3:@0.742965:0.728656:0.747487:0.728656:0.747487:0.719874:0.742965:0.719874:0.000000
…:@0.777682:0.725664:0.791420:0.725664:0.791420:0.710601:0.777682:0.710601:0.000000
x:@0.816380:0.725770:0.823205:0.725770:0.823205:0.710733:0.816380:0.710733:0.000000
n:@0.823103:0.728718:0.828087:0.728718:0.828087:0.719951:0.823103:0.719951:0.000000
–1:@0.828087:0.728656:0.838198:0.728656:0.838198:0.719874:0.828087:0.719874:0.000000:0.000000
x:@0.864177:0.725770:0.871002:0.725770:0.871002:0.710733:0.864177:0.710733:0.000000
n:@0.870896:0.728718:0.875880:0.728718:0.875880:0.719951:0.870896:0.719951:0.000000
Probabilidad:@0.455445:0.748108:0.541441:0.748108:0.541441:0.732847:0.455445:0.732847:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.608390:0.746761:0.616851:0.746761:0.616851:0.731725:0.608390:0.731725:0.000000
i:@0.616784:0.749707:0.618804:0.749707:0.618804:0.740941:0.616784:0.740941:0.000000
p:@0.649845:0.746758:0.658306:0.746758:0.658306:0.731722:0.649845:0.731722:0.000000
1:@0.658306:0.749646:0.662829:0.749646:0.662829:0.740864:0.658306:0.740864:0.000000
p:@0.692583:0.746758:0.701044:0.746758:0.701044:0.731722:0.692583:0.731722:0.000000
2:@0.701043:0.749646:0.705566:0.749646:0.705566:0.740864:0.701043:0.740864:0.000000
p:@0.735322:0.746758:0.743783:0.746758:0.743783:0.731722:0.735322:0.731722:0.000000
3:@0.743782:0.749646:0.748305:0.749646:0.748305:0.740864:0.743782:0.740864:0.000000
…:@0.777682:0.746653:0.791420:0.746653:0.791420:0.731589:0.777682:0.731589:0.000000
p:@0.815536:0.746758:0.823997:0.746758:0.823997:0.731722:0.815536:0.731722:0.000000
n:@0.823947:0.749707:0.828931:0.749707:0.828931:0.740941:0.823947:0.740941:0.000000
–1:@0.828931:0.749646:0.839043:0.749646:0.839043:0.740864:0.828931:0.740864:0.000000:0.000000
p:@0.863332:0.746758:0.871793:0.746758:0.871793:0.731722:0.863332:0.731722:0.000000
n:@0.871740:0.749707:0.876724:0.749707:0.876724:0.740941:0.871740:0.740941:0.000000
Ejercicio resuelto:@0.404236:0.789236:0.522215:0.789236:0.522215:0.772449:0.404236:0.772449:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se define la variable aleatoria discreta   = “número de caras que se :@0.404236:0.806211:0.895901:0.806211:0.895901:0.789713:0.404236:0.789713:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X:@0.680074:0.806327:0.690034:0.806327:0.690034:0.789858:0.680074:0.789858:0.000000
obtiene al lanzar una moneda dos veces”. ¿Cuál es la función de pro-:@0.404236:0.823562:0.891678:0.823562:0.891678:0.807064:0.404236:0.807064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
babilidad? ¿Qué significa?:@0.404236:0.840912:0.583555:0.840912:0.583555:0.824415:0.404236:0.824415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Efectuemos un diagrama de árbol para determinar la probabilidad del :@0.404236:0.874110:0.895901:0.874110:0.895901:0.857613:0.404236:0.857613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
evento. (Ver Figura 3.4.):@0.404236:0.891461:0.569992:0.891461:0.569992:0.874963:0.404236:0.874963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.159041:0.815697:0.163183:0.815697:0.163183:0.799200:0.159041:0.799200:0.000000
C:@0.219342:0.815813:0.229379:0.815813:0.229379:0.799344:0.219342:0.799344:0.000000
C:@0.159041:0.845121:0.170196:0.845121:0.170196:0.828624:0.159041:0.828624:0.000000
 :@0.159041:0.874545:0.163183:0.874545:0.163183:0.858048:0.159041:0.858048:0.000000
S:@0.219342:0.874661:0.227221:0.874661:0.227221:0.858192:0.219342:0.858192:0.000000
→:@0.199062:0.838260:0.212287:0.831310:0.197107:0.815039:0.183883:0.821989:0.000000
→:@0.173456:0.863343:0.186680:0.870293:0.201860:0.854022:0.188636:0.847072:0.000000
 :@0.281639:0.815697:0.285781:0.815697:0.285781:0.799200:0.281639:0.799200:0.000000
C:@0.341939:0.815813:0.351976:0.815813:0.351976:0.799344:0.341939:0.799344:0.000000
S:@0.281639:0.845121:0.289576:0.845121:0.289576:0.828624:0.281639:0.828624:0.000000
 :@0.281639:0.874545:0.285781:0.874545:0.285781:0.858048:0.281639:0.858048:0.000000
S:@0.341939:0.874661:0.349819:0.874661:0.349819:0.858192:0.341939:0.858192:0.000000
→:@0.322199:0.838837:0.335424:0.831887:0.320244:0.815617:0.307019:0.822566:0.000000
→:@0.296053:0.863343:0.309278:0.870293:0.324457:0.854022:0.311233:0.847072:0.000000
p:@0.143847:0.896310:0.155327:0.896310:0.155327:0.886285:0.143847:0.886285:0.000000
 :@0.155327:0.897018:0.158209:0.897018:0.158209:0.885541:0.155327:0.885541:0.000000
Figura 3.4.:@0.158209:0.897018:0.206777:0.897018:0.206777:0.885541:0.158209:0.885541:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.199646:0.112146:0.307805:0.112146:0.307805:0.096673:0.199646:0.096673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué aspectos de tu :@0.199884:0.140773:0.336029:0.140773:0.336029:0.125710:0.199884:0.125710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entorno puedes contar?:@0.153341:0.156615:0.308342:0.156615:0.308342:0.141552:0.153341:0.141552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.199646:0.203768:0.363493:0.203768:0.363493:0.188295:0.199646:0.188295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué es para ti una :@0.199884:0.232395:0.328009:0.232395:0.328009:0.217332:0.199884:0.217332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
variable aleatoria?:@0.153341:0.248237:0.267095:0.248237:0.267095:0.233174:0.153341:0.233174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Glosario:@0.199646:0.354152:0.267111:0.354152:0.267111:0.336469:0.199646:0.336469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aleatorio. :@0.199884:0.380966:0.266216:0.380966:0.266216:0.365705:0.199884:0.365705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Perteneciente :@0.266216:0.380768:0.358825:0.380768:0.358825:0.365705:0.266216:0.365705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o relativo al juego de azar.:@0.153341:0.396610:0.319336:0.396610:0.319336:0.381547:0.153341:0.381547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
subconjunto.:@0.153341:0.412650:0.242170:0.412650:0.242170:0.397389:0.153341:0.397389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Conjunto de ele-:@0.242170:0.412452:0.355643:0.412452:0.355643:0.397389:0.242170:0.397389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mentos que pertenecen a otro :@0.153341:0.428294:0.355010:0.428294:0.355010:0.413231:0.153341:0.413231:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conjunto determinado.:@0.153341:0.444136:0.303718:0.444136:0.303718:0.429073:0.153341:0.429073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.146910:0.357885:0.158315:0.356375:0.153112:0.334230:0.141707:0.335740:0.000000
c:@0.150292:0.368854:0.160891:0.367451:0.155808:0.345816:0.145209:0.347219:0.000000
b:@0.160667:0.361636:0.173381:0.359953:0.168249:0.338111:0.155535:0.339793:0.000000
Competencia :@0.199646:0.541861:0.297269:0.541861:0.297269:0.526389:0.199646:0.526389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunicacional:@0.199646:0.554429:0.311604:0.554429:0.311604:0.538957:0.199646:0.538957:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se utilizan letras :@0.193074:0.578903:0.300267:0.578903:0.300267:0.563840:0.193074:0.563840:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mayúsculas ( ,  , …) para :@0.153338:0.594745:0.322466:0.594745:0.322466:0.579682:0.153338:0.579682:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X Y:@0.236695:0.594851:0.261235:0.594851:0.261235:0.579814:0.236695:0.579814:0.000000:0.000000:0.000000
designar variables aleatorias y las :@0.153338:0.610587:0.365051:0.610587:0.365051:0.595524:0.153338:0.595524:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
respectivas minúsculas ( ,  , …) :@0.153338:0.626429:0.358737:0.626429:0.358737:0.611366:0.153338:0.611366:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.309587:0.626535:0.329625:0.626535:0.329625:0.611498:0.309587:0.611498:0.000000:0.000000:0.000000
para designar valores concretos :@0.153338:0.642271:0.358714:0.642271:0.358714:0.627208:0.153338:0.627208:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de estas.:@0.153338:0.658113:0.207672:0.658113:0.207672:0.643050:0.153338:0.643050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000