178:@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
2.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
isposición y compromiso:@0.306727:0.140863:0.485691:0.140863:0.485691:0.125499:0.306727:0.125499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.284763:0.141649:0.297589:0.141649:0.297589:0.124513:0.284763:0.124513:0.000000
Aleatorio. :@0.081286:0.562718:0.151764:0.562718:0.151764:0.547605:0.081286:0.547605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Que depende :@0.151764:0.562718:0.248190:0.562718:0.248190:0.547819:0.151764:0.547819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del azar.:@0.190998:0.577805:0.244522:0.577805:0.244522:0.562906:0.190998:0.562906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Azar. :@0.097821:0.596451:0.135162:0.596451:0.135162:0.581338:0.097821:0.581338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Casualidad, caso :@0.135162:0.596451:0.248189:0.596451:0.248189:0.581552:0.135162:0.581552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fortuito.:@0.191919:0.611539:0.244522:0.611539:0.244522:0.596640:0.191919:0.596640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    Comunicacional:@0.101303:0.530277:0.237363:0.530277:0.237363:0.513376:0.101303:0.513376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué entiendes por un :@0.092353:0.192000:0.249022:0.192000:0.249022:0.177101:0.092353:0.177101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
evento probable?:@0.127868:0.207088:0.245353:0.207088:0.245353:0.192189:0.127868:0.192189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.109708:0.163125:0.228943:0.163125:0.228943:0.146224:0.109708:0.146224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Variable aleatoria:@0.287495:0.376091:0.464988:0.376091:0.464988:0.354582:0.287495:0.354582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una variable :@0.287495:0.398872:0.382748:0.398872:0.382748:0.382484:0.287495:0.382484:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aleatoria:@0.382656:0.398872:0.449325:0.398872:0.449325:0.382248:0.382656:0.382248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 es una función definida en un espacio muestral Ω, que asigna :@0.449325:0.398872:0.907584:0.398872:0.907584:0.382484:0.449325:0.382484:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un número real a cada resultado posible de un experimento aleatorio.:@0.287495:0.415469:0.798708:0.415469:0.798708:0.399080:0.287495:0.399080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si llamamos   a la variable aleatoria y   a un evento aleatorio, la función es::@0.287495:0.439188:0.836652:0.439188:0.836652:0.422799:0.287495:0.422799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X:@0.379376:0.439188:0.388442:0.439188:0.388442:0.422827:0.379376:0.422827:0.000000
w:@0.561640:0.439188:0.574373:0.439188:0.574373:0.422827:0.561640:0.422827:0.000000
X:@0.543467:0.472738:0.552533:0.472738:0.552533:0.457344:0.543467:0.457344:0.000000
w:@0.572527:0.483110:0.585261:0.483110:0.585261:0.467717:0.572527:0.467717:0.000000
X w:@0.611852:0.483110:0.640175:0.483110:0.640175:0.467717:0.611852:0.467717:0.000000:0.000000:0.000000
::@0.557085:0.472738:0.560291:0.472738:0.560291:0.457068:0.557085:0.457068:0.000000
():@0.622522:0.483110:0.646772:0.483110:0.646772:0.467441:0.622522:0.467441:0.000000:0.000000
Ω:@0.583934:0.462351:0.596483:0.462351:0.596483:0.446681:0.583934:0.446681:0.000000
→:@0.599856:0.463029:0.618044:0.463029:0.618044:0.447456:0.599856:0.447456:0.000000
→:@0.589610:0.483788:0.607798:0.483788:0.607798:0.468215:0.589610:0.468215:0.000000
⎧:@0.563793:0.464301:0.572896:0.464301:0.572896:0.448728:0.563793:0.448728:0.000000
⎨:@0.563793:0.475780:0.572896:0.475780:0.572896:0.460207:0.563793:0.460207:0.000000
⎩:@0.563793:0.487287:0.572896:0.487287:0.572896:0.471714:0.563793:0.471714:0.000000
Por consiguiente, el dominio de la variable aleatoria es el espacio muestral Ω asocia-:@0.287495:0.515560:0.903640:0.515560:0.903640:0.499171:0.287495:0.499171:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
do con un experimento aleatorio y el recorrido es un subconjunto de  .:@0.287495:0.532156:0.814778:0.532156:0.814778:0.515767:0.287495:0.515767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.798267:0.532737:0.811572:0.532737:0.811572:0.515131:0.798267:0.515131:0.000000
Existen dos tipos principales de variables aleatorias: discretas y continuas. En este :@0.287495:0.555875:0.907633:0.555875:0.907633:0.539486:0.287495:0.539486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tema nos enfocaremos en las variables aleatorias discretas.:@0.287495:0.572472:0.714991:0.572472:0.714991:0.556083:0.287495:0.556083:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Variable aleatoria discreta:@0.287495:0.605153:0.512644:0.605153:0.512644:0.586716:0.287495:0.586716:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una variable aleatoria discreta es aquella que solo puede asumir valores separados y :@0.287495:0.628564:0.907641:0.628564:0.907641:0.612175:0.287495:0.612175:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
contables, como los números enteros.:@0.287495:0.645160:0.559395:0.645160:0.559395:0.628771:0.287495:0.628771:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Función de probabilidad de una variable aleatoria discreta:@0.287495:0.677835:0.791869:0.677835:0.791869:0.659398:0.287495:0.659398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La función de probabilidad de una variable aleatoria discreta  , denotada por  (  =  ) , :@0.287495:0.701245:0.907678:0.701245:0.907678:0.684856:0.287495:0.684856:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X:@0.724577:0.701245:0.733643:0.701245:0.733643:0.684883:0.724577:0.684883:0.000000
P X:@0.843126:0.701245:0.865460:0.701245:0.865460:0.684883:0.843126:0.684883:0.000000:0.000000:0.000000
x:@0.884219:0.701245:0.891682:0.701245:0.891682:0.684883:0.884219:0.684883:0.000000
asigna a cada valor posible   la probabilidad de que la variable tome ese valor.:@0.287495:0.717841:0.857604:0.717841:0.857604:0.701452:0.287495:0.701452:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.487785:0.717841:0.495249:0.717841:0.495249:0.701480:0.487785:0.701480:0.000000
Por ejemplo, sea   el número de caras al lanzar dos monedas, se tiene::@0.287495:0.741560:0.799319:0.741560:0.799319:0.725171:0.287495:0.725171:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X:@0.411456:0.741560:0.420523:0.741560:0.420523:0.725199:0.411456:0.725199:0.000000
Espacio muestral: Ω = {0, 1, 2} (0 caras, 1 cara, 2 caras).:@0.287495:0.765279:0.676847:0.765279:0.676847:0.748890:0.287495:0.748890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Función de probabilidad:  (:@0.287495:0.797255:0.491791:0.797815:0.491791:0.781426:0.287495:0.780866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
PX:@0.477694:0.797815:0.502626:0.797815:0.502626:0.781454:0.477694:0.781454:0.000000:0.000000
PX:@0.575637:0.797815:0.600569:0.797815:0.600569:0.781454:0.575637:0.781454:0.000000:0.000000
PX:@0.668143:0.797815:0.693076:0.797815:0.693076:0.781454:0.668143:0.781454:0.000000:0.000000
) 0:@0.530618:0.797815:0.530087:0.797815:0.530087:0.781426:0.530618:0.781426:0.000000:0.000000:0.000000
,(:@0.565907:0.797815:0.589734:0.797815:0.589734:0.781426:0.565907:0.781426:0.000000:0.000000
) 1:@0.624286:0.797815:0.626884:0.797815:0.626884:0.781426:0.624286:0.781426:0.000000:0.000000:0.000000
, (:@0.658414:0.797815:0.682246:0.797815:0.682246:0.781426:0.658414:0.781426:0.000000:0.000000:0.000000
) 2:@0.720501:0.797815:0.720540:0.797815:0.720540:0.781426:0.720501:0.781426:0.000000:0.000000:0.000000
=:@0.508057:0.798493:0.487750:0.798493:0.487750:0.782920:0.508057:0.782920:0.000000
=:@0.538482:0.798493:0.518174:0.798493:0.518174:0.782920:0.538482:0.782920:0.000000
==:@0.606000:0.798493:0.642248:0.798493:0.642248:0.782920:0.606000:0.782920:0.000000:0.000000
=:@0.698512:0.798493:0.678795:0.798493:0.678795:0.782920:0.698512:0.782920:0.000000
=:@0.728346:0.798493:0.708629:0.798493:0.708629:0.782920:0.728346:0.782920:0.000000
1:@0.554284:0.789054:0.563277:0.789054:0.563277:0.772666:0.554284:0.772666:0.000000
4:@0.553547:0.808666:0.562540:0.808666:0.562540:0.792277:0.553547:0.792277:0.000000
1:@0.647365:0.789054:0.656358:0.789054:0.656358:0.772666:0.647365:0.772666:0.000000
2:@0.646628:0.808666:0.655621:0.808666:0.655621:0.792277:0.646628:0.792277:0.000000
1:@0.744162:0.789054:0.753155:0.789054:0.753155:0.772666:0.744162:0.772666:0.000000
4:@0.743425:0.808666:0.752418:0.808666:0.752418:0.792277:0.743425:0.792277:0.000000
Función de distribución:@0.287495:0.829941:0.492203:0.829941:0.492203:0.811504:0.287495:0.811504:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea   una variable aleatoria discreta que toma los valores  ,   ,…,  , se define la :@0.287495:0.853352:0.907689:0.853352:0.907689:0.836963:0.287495:0.836963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X:@0.319173:0.853352:0.328239:0.853352:0.328239:0.836990:0.319173:0.836990:0.000000
x x:@0.724872:0.853352:0.753936:0.853352:0.753936:0.836990:0.724872:0.836990:0.000000:0.000000:0.000000
1:@0.732292:0.856515:0.737534:0.856515:0.737534:0.846960:0.732292:0.846960:0.000000
2:@0.753931:0.856515:0.759173:0.856515:0.759173:0.846960:0.753931:0.846960:0.000000
x:@0.795477:0.853352:0.802940:0.853352:0.802940:0.836990:0.795477:0.836990:0.000000
n:@0.802932:0.856515:0.808475:0.856515:0.808475:0.846977:0.802932:0.846977:0.000000
función de distribución de   como::@0.287489:0.869948:0.544589:0.869948:0.544589:0.853559:0.287489:0.853559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X:@0.485363:0.869948:0.494429:0.869948:0.494429:0.853587:0.485363:0.853587:0.000000
Fx:@0.492885:0.894978:0.516214:0.894978:0.516214:0.879585:0.492885:0.879585:0.000000:0.000000
PX:@0.539157:0.894978:0.564089:0.894978:0.564089:0.879585:0.539157:0.879585:0.000000:0.000000
x:@0.583659:0.894978:0.591123:0.894978:0.591123:0.879585:0.583659:0.879585:0.000000
P X:@0.627480:0.894978:0.655078:0.894978:0.655078:0.879585:0.627480:0.879585:0.000000:0.000000:0.000000
x:@0.674962:0.894978:0.682425:0.894978:0.682425:0.879585:0.674962:0.879585:0.000000
x:@0.617690:0.902070:0.622015:0.902070:0.622015:0.893149:0.617690:0.893149:0.000000
i:@0.683242:0.896973:0.685442:0.896973:0.685442:0.888052:0.683242:0.888052:0.000000
i:@0.622468:0.903515:0.624053:0.903515:0.624053:0.897086:0.622468:0.897086:0.000000
():@0.502112:0.894978:0.522917:0.894978:0.522917:0.879309:0.502112:0.879309:0.000000:0.000000
(:@0.548384:0.894978:0.553267:0.894978:0.553267:0.879309:0.548384:0.879309:0.000000
):@0.592942:0.894978:0.597825:0.894978:0.597825:0.879309:0.592942:0.879309:0.000000
=:@0.525865:0.895656:0.492640:0.895656:0.492640:0.880083:0.525865:0.880083:0.000000
≤:@0.569207:0.895656:0.535982:0.895656:0.535982:0.880083:0.569207:0.880083:0.000000
=:@0.600794:0.895656:0.551168:0.895656:0.551168:0.880083:0.600794:0.880083:0.000000
=:@0.660536:0.895656:0.610911:0.895656:0.610911:0.880083:0.660536:0.880083:0.000000
[:@0.638108:0.898006:0.593679:0.898006:0.593679:0.877356:0.638108:0.877356:0.000000
]:@0.688673:0.898006:0.644244:0.898006:0.644244:0.877356:0.688673:0.877356:0.000000
Σ:@0.614606:0.897622:0.627552:0.897622:0.627552:0.876465:0.614606:0.876465:0.000000
nidad de conocimientos:@0.306727:0.344963:0.480398:0.344963:0.480398:0.329599:0.306727:0.329599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.284892:0.345749:0.297460:0.345749:0.297460:0.328613:0.284892:0.328613:0.000000
Pienso y progreso:@0.294883:0.293967:0.417347:0.293967:0.417347:0.278603:0.294883:0.278603:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿En qué otras actividades interviene el azar?:@0.294883:0.312619:0.586656:0.312619:0.586656:0.297720:0.294883:0.297720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los juegos de :@0.287495:0.168345:0.391298:0.168345:0.391298:0.151956:0.287495:0.151956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
azar:@0.390672:0.168345:0.422349:0.168345:0.422349:0.151721:0.390672:0.151721:0.000000:0.000000:0.000000:0.000000
 son actividades recreativas donde no se puede predecir el resulta-:@0.422349:0.168345:0.903736:0.168345:0.903736:0.151956:0.422349:0.151956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
do exacto, pero sí podemos saber todos los posibles resultados y sus probabilidades.:@0.287495:0.184941:0.903732:0.184941:0.903732:0.168553:0.287495:0.168553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En una feria, los vecinos juegan a lanzar dados; si sale 6, ganan 5 dólares, si sale 4 o 5, :@0.287495:0.208660:0.907567:0.208660:0.907567:0.192271:0.287495:0.192271:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ganan 3 dólares y si sale 1, 2 o 3, no ganan nada.:@0.287495:0.225257:0.640715:0.225257:0.640715:0.208868:0.287495:0.208868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.287495:0.248976:0.302403:0.248976:0.302403:0.232075:0.287495:0.232075:0.000000:0.000000
  ¿Cuál es el valor más probable? ¿Por qué?:@0.302403:0.248976:0.619060:0.248976:0.619060:0.232587:0.302403:0.232587:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.287495:0.269140:0.303712:0.269140:0.303712:0.252240:0.287495:0.252240:0.000000:0.000000
  ¿Cuál es la probabilidad de ganar al menos 3 dólares?:@0.303712:0.269140:0.706829:0.269140:0.706829:0.252751:0.303712:0.252751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Variables aleatorias discretas :@0.286308:0.060073:0.721642:0.060073:0.721642:0.026520:0.286308:0.026520:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y función de probabilidad:@0.286308:0.090250:0.666286:0.090250:0.666286:0.056698:0.286308:0.056698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.094760:0.108603:0.159692:0.108603:0.159692:0.011514:0.094760:0.011514:0.000000
©Shutterstock:@0.070380:0.344082:0.070380:0.301256:0.058469:0.301256:0.058469:0.344082:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los juegos de azar se basan :@0.072616:0.398434:0.241344:0.398434:0.241344:0.385025:0.072616:0.385025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en eventos aleatorios cuyos :@0.072616:0.411005:0.241944:0.411005:0.241944:0.397596:0.072616:0.397596:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resultados pueden analizarse :@0.072616:0.423577:0.249953:0.423577:0.249953:0.410168:0.072616:0.410168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y predecirse en términos :@0.072616:0.436149:0.224198:0.436149:0.224198:0.422740:0.072616:0.422740:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
probabilísticos.:@0.072616:0.448721:0.162489:0.448721:0.162489:0.435312:0.072616:0.435312:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Experimento aleatorio:@0.083078:0.740323:0.244519:0.740323:0.244519:0.724958:0.083078:0.724958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Es una acción o proceso :@0.083782:0.758968:0.248188:0.758968:0.248188:0.744069:0.083782:0.744069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuyo resultado no se :@0.106330:0.774056:0.248190:0.774056:0.248190:0.759157:0.106330:0.759157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puede predecir con :@0.113031:0.789144:0.248188:0.789144:0.248188:0.774245:0.113031:0.774245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
certeza , aunque se realice :@0.069308:0.804231:0.248186:0.804231:0.248186:0.789332:0.069308:0.789332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siempre en las mismas :@0.094235:0.819319:0.248190:0.819319:0.248190:0.804420:0.094235:0.804420:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
condiciones.:@0.160575:0.834407:0.244521:0.834407:0.244521:0.819508:0.160575:0.819508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Espacio muestral:@0.121944:0.853052:0.244519:0.853052:0.244519:0.837688:0.121944:0.837688:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Es el conjunto de todos :@0.087802:0.871698:0.248188:0.871698:0.248188:0.856799:0.087802:0.856799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los resultados posibles de :@0.073848:0.886786:0.248190:0.886786:0.248190:0.871887:0.073848:0.871887:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un experimento aleatorio. :@0.072290:0.901873:0.248186:0.901873:0.248186:0.886974:0.072290:0.886974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se denota con Ω.:@0.129667:0.916961:0.244519:0.916961:0.244519:0.902062:0.129667:0.902062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Matemática:@0.115562:0.707882:0.223102:0.707882:0.223102:0.690981:0.115562:0.690981:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000