105:@0.917174:0.510692:0.945535:0.510692:0.945535:0.494068:0.917174:0.494068:0.000000:0.000000:0.000000
Taller:@0.181292:0.121980:0.242187:0.121980:0.242187:0.088032:0.181292:0.088032:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I.M.5.10.2. Identifica variables aleatorias discretas y halla la media, varianza y desviación típica; reconoce un experimento de Bernoulli :@0.262313:0.099444:0.883202:0.099444:0.883202:0.089014:0.262313:0.089014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.880591:0.099444:0.883159:0.099444:0.883159:0.089014:0.880591:0.089014:0.000000
y la distribución binomial para emplearlos en la resolución de problemas cotidianos y el cálculo de probabilidades; realiza gráficos :@0.262313:0.110005:0.883158:0.110005:0.883158:0.099576:0.262313:0.099576:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con el apoyo de las TIC. (I.3.):@0.262313:0.120566:0.391845:0.120566:0.391845:0.110137:0.262313:0.110137:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.120967:0.160370:0.139707:0.160370:0.139707:0.143234:0.120967:0.143234:0.000000:0.000000:0.000000
La probabilidad de que un estudiante se gra-:@0.154210:0.160370:0.493848:0.160370:0.493848:0.143981:0.154210:0.143981:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dúe de la carrera de ingeniería es de 0,3. Si  :@0.154210:0.176966:0.497904:0.176966:0.497904:0.160577:0.154210:0.160577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7 estudiantes se matricularon en primer se-:@0.154210:0.193563:0.493868:0.193563:0.493868:0.177174:0.154210:0.177174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mestre, :@0.154210:0.210159:0.212034:0.210159:0.212034:0.193770:0.154210:0.193770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
halla:@0.212034:0.210159:0.248724:0.210159:0.248724:0.193535:0.212034:0.193535:0.000000:0.000000:0.000000:0.000000:0.000000
::@0.248724:0.210159:0.251930:0.210159:0.251930:0.193770:0.248724:0.193770:0.000000
a) :@0.154210:0.233878:0.172932:0.233878:0.172932:0.216977:0.154210:0.216977:0.000000:0.000000:0.000000
La probabilidad de que ninguno finalice la :@0.187453:0.233878:0.497885:0.233878:0.497885:0.217489:0.187453:0.217489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
carrera. :@0.187453:0.250474:0.243529:0.250474:0.243529:0.234086:0.187453:0.234086:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4. :@0.513973:0.431845:0.532714:0.431845:0.532714:0.414709:0.513973:0.414709:0.000000:0.000000:0.000000
Un jugador de balonces-:@0.547216:0.431845:0.727954:0.431845:0.727954:0.415456:0.547216:0.415456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
to encesta con proba-:@0.547216:0.448442:0.727936:0.448442:0.727936:0.432053:0.547216:0.432053:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bilidad  0,55. :@0.547216:0.465038:0.644411:0.465038:0.644411:0.448649:0.547216:0.448649:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Encuentra:@0.649950:0.465038:0.727954:0.465038:0.727954:0.448414:0.649950:0.448414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.727954:0.465038:0.731990:0.465038:0.731990:0.448649:0.727954:0.448649:0.000000
la probabilidad de que :@0.547216:0.481634:0.732009:0.481634:0.732009:0.465245:0.547216:0.465245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al tirar 6 veces el balón :@0.547216:0.498231:0.731990:0.498231:0.731990:0.481842:0.547216:0.481842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.727954:0.498231:0.731990:0.498231:0.731990:0.481842:0.727954:0.481842:0.000000
enceste::@0.547216:0.514827:0.607786:0.514827:0.607786:0.498438:0.547216:0.498438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.547216:0.538546:0.565939:0.538546:0.565939:0.521645:0.547216:0.521645:0.000000:0.000000:0.000000
4 veces.:@0.580460:0.538546:0.637659:0.538546:0.637659:0.522157:0.580460:0.522157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.547216:0.638166:0.551031:0.638166:0.551031:0.621265:0.547216:0.621265:0.000000
b) :@0.547203:0.661900:0.567234:0.661900:0.567234:0.644999:0.547203:0.644999:0.000000:0.000000:0.000000
Todas las veces.:@0.580446:0.661900:0.694254:0.661900:0.694254:0.645511:0.580446:0.645511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.547203:0.761520:0.551017:0.761520:0.551017:0.744619:0.547203:0.744619:0.000000
c) :@0.547203:0.785246:0.564838:0.785246:0.564838:0.768345:0.547203:0.768345:0.000000:0.000000:0.000000
Ninguna vez.:@0.580446:0.785246:0.676067:0.785246:0.676067:0.768857:0.580446:0.768857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.547203:0.884866:0.551017:0.884866:0.551017:0.867965:0.547203:0.867965:0.000000
2. :@0.120228:0.796757:0.138969:0.796757:0.138969:0.779621:0.120228:0.779621:0.000000:0.000000:0.000000
La probabilidad de que :@0.153471:0.796757:0.334265:0.796757:0.334265:0.780368:0.153471:0.780368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un alumno de 3.º de ba-:@0.153471:0.813353:0.330229:0.813353:0.330229:0.796964:0.153471:0.796964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
chillerato pierda el año :@0.153471:0.829949:0.334263:0.829949:0.334263:0.813560:0.153471:0.813560:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es de 0,3. Si elegimos a :@0.153471:0.846546:0.334300:0.846546:0.334300:0.830157:0.153471:0.830157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
20 alumnos al azar, ¿cuál :@0.153471:0.863142:0.334300:0.863142:0.334300:0.846753:0.153471:0.846753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es la probabilidad de :@0.153471:0.879739:0.334265:0.879739:0.334265:0.863350:0.153471:0.863350:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que haya exactamente :@0.153471:0.896335:0.334263:0.896335:0.334263:0.879946:0.153471:0.879946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4 alumnos que pierdan :@0.153471:0.912931:0.334283:0.912931:0.334283:0.896542:0.153471:0.896542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el año?:@0.153471:0.929528:0.205419:0.929528:0.205419:0.913139:0.153471:0.913139:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3. :@0.512294:0.267609:0.531035:0.267609:0.531035:0.250473:0.512294:0.250473:0.000000:0.000000:0.000000
Si una familia tiene 4 hijos, :@0.545538:0.267609:0.741423:0.267609:0.741423:0.251220:0.545538:0.251220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
calcula :@0.741258:0.267609:0.798291:0.267609:0.798291:0.250985:0.741258:0.250985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la probabili-:@0.798162:0.267609:0.885362:0.267609:0.885362:0.251220:0.798162:0.251220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dad de que tres de ellos sean niñas. :@0.545538:0.284205:0.808937:0.284205:0.808937:0.267816:0.545538:0.267816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.153820:0.370533:0.173851:0.370533:0.173851:0.353632:0.153820:0.353632:0.000000:0.000000:0.000000
La probabilidad de que todos finalices la :@0.187063:0.370533:0.497917:0.370533:0.497917:0.354144:0.187063:0.354144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
carrera. :@0.187063:0.387129:0.244428:0.387129:0.244428:0.370740:0.187063:0.370740:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.153820:0.483195:0.157634:0.483195:0.157634:0.466294:0.153820:0.466294:0.000000
c) :@0.153820:0.506912:0.171455:0.506912:0.171455:0.490012:0.153820:0.490012:0.000000:0.000000:0.000000
La probabilidad de que al menos dos :@0.187063:0.506912:0.497937:0.506912:0.497937:0.490523:0.187063:0.490523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.493865:0.506912:0.497901:0.506912:0.497901:0.490523:0.493865:0.490523:0.000000
finalicen la carrera.:@0.187063:0.523509:0.322689:0.523509:0.322689:0.507120:0.187063:0.507120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.153820:0.619574:0.157634:0.619574:0.157634:0.602673:0.153820:0.602673:0.000000
d) :@0.153820:0.643292:0.173887:0.643292:0.173887:0.626391:0.153820:0.626391:0.000000:0.000000:0.000000
Encuentra:@0.187063:0.643292:0.265067:0.643292:0.265067:0.626668:0.187063:0.626668:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la media y la desviación típica :@0.265067:0.643292:0.497937:0.643292:0.497937:0.626903:0.265067:0.626903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del número de estudiantes que terminan :@0.187063:0.659888:0.497934:0.659888:0.497934:0.643499:0.187063:0.643499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la carrera. :@0.187063:0.676485:0.260737:0.676485:0.260737:0.660096:0.187063:0.660096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.153820:0.772550:0.157634:0.772550:0.157634:0.755649:0.153820:0.755649:0.000000
www.freepik.es:@0.897294:0.522053:0.897294:0.468596:0.883398:0.468596:0.883398:0.522053:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
www.freepik.es:@0.508790:0.914961:0.508790:0.861504:0.494893:0.861504:0.494893:0.914961:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000