133:@0.918240:0.966765:0.943652:0.966765:0.943652:0.950778:0.918240:0.950778:0.000000:0.000000:0.000000
Construimos la tabla de distribución de probabilidad de la variable :@0.108233:0.105990:0.599840:0.105990:0.599840:0.089492:0.108233:0.089492:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aleatoria discreta,   = “suma de los puntos de las caras obtenidas”.:@0.108233:0.123341:0.573849:0.123341:0.573849:0.106843:0.108233:0.106843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X:@0.235075:0.123456:0.245036:0.123456:0.245036:0.106988:0.235075:0.106988:0.000000
Suma de las :@0.122186:0.161245:0.205596:0.161245:0.205596:0.145984:0.122186:0.145984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos caras:@0.130911:0.177087:0.193127:0.177087:0.193127:0.161826:0.130911:0.161826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Probabilidad:@0.231807:0.169166:0.317803:0.169166:0.317803:0.153905:0.231807:0.153905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para el cálculo :@0.351331:0.153324:0.451332:0.153324:0.451332:0.138063:0.351331:0.138063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la media o :@0.354339:0.169166:0.448340:0.169166:0.448340:0.153905:0.354339:0.153905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
esperanza:@0.365825:0.185008:0.433123:0.185008:0.433123:0.169747:0.365825:0.169747:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para el cálculo :@0.481937:0.153324:0.581938:0.153324:0.581938:0.138063:0.481937:0.138063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la varianza y :@0.478753:0.169166:0.585120:0.169166:0.585120:0.153905:0.478753:0.153905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
desviación típica:@0.473846:0.185008:0.586279:0.185008:0.586279:0.169747:0.473846:0.169747:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.159794:0.203464:0.166882:0.203464:0.166882:0.188137:0.159794:0.188137:0.000000
i:@0.166808:0.206319:0.169013:0.206319:0.169013:0.197384:0.166808:0.197384:0.000000
p:@0.269353:0.203470:0.278112:0.203470:0.278112:0.188143:0.269353:0.188143:0.000000
i:@0.278060:0.206319:0.280265:0.206319:0.280265:0.197384:0.278060:0.197384:0.000000
x p:@0.388626:0.203470:0.408146:0.203470:0.408146:0.188143:0.388626:0.188143:0.000000:0.000000:0.000000
i i:@0.395644:0.206319:0.410299:0.206319:0.410299:0.197384:0.395644:0.197384:0.000000:0.000000:0.000000
P x:@0.516368:0.203470:0.535521:0.203470:0.535521:0.188143:0.516368:0.188143:0.000000:0.000000:0.000000
i i:@0.524688:0.206319:0.537654:0.206319:0.537654:0.197384:0.524688:0.197384:0.000000:0.000000:0.000000
2:@0.539192:0.197530:0.543735:0.197530:0.543735:0.188594:0.539192:0.188594:0.000000
2:@0.160522:0.220553:0.168280:0.220553:0.168280:0.205490:0.160522:0.205490:0.000000
1/36:@0.260293:0.220553:0.289334:0.220553:0.289334:0.205490:0.260293:0.205490:0.000000:0.000000:0.000000:0.000000
2/36:@0.384953:0.220553:0.413994:0.220553:0.413994:0.205490:0.384953:0.205490:0.000000:0.000000:0.000000:0.000000
4/36:@0.515542:0.220553:0.544583:0.220553:0.544583:0.205490:0.515542:0.205490:0.000000:0.000000:0.000000:0.000000
3:@0.160540:0.237979:0.168297:0.237979:0.168297:0.222916:0.160540:0.222916:0.000000
2/36:@0.260310:0.237979:0.289352:0.237979:0.289352:0.222916:0.260310:0.222916:0.000000:0.000000:0.000000:0.000000
6/36:@0.384971:0.237979:0.414012:0.237979:0.414012:0.222916:0.384971:0.222916:0.000000:0.000000:0.000000:0.000000
18/36:@0.511689:0.237979:0.548488:0.237979:0.548488:0.222916:0.511689:0.222916:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.160557:0.255405:0.168315:0.255405:0.168315:0.240342:0.160557:0.240342:0.000000
3/36:@0.260328:0.255405:0.289369:0.255405:0.289369:0.240342:0.260328:0.240342:0.000000:0.000000:0.000000:0.000000
12/36:@0.381101:0.255405:0.417899:0.255405:0.417899:0.240342:0.381101:0.240342:0.000000:0.000000:0.000000:0.000000:0.000000
48/36:@0.511689:0.255405:0.548488:0.255405:0.548488:0.240342:0.511689:0.240342:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.160557:0.272831:0.168315:0.272831:0.168315:0.257768:0.160557:0.257768:0.000000
4/36:@0.260328:0.272831:0.289369:0.272831:0.289369:0.257768:0.260328:0.257768:0.000000:0.000000:0.000000:0.000000
20/36:@0.381101:0.272831:0.417899:0.272831:0.417899:0.257768:0.381101:0.257768:0.000000:0.000000:0.000000:0.000000:0.000000
100/36:@0.507820:0.272831:0.552375:0.272831:0.552375:0.257768:0.507820:0.257768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6:@0.160575:0.290257:0.168332:0.290257:0.168332:0.275194:0.160575:0.275194:0.000000
5/36:@0.260346:0.290257:0.289387:0.290257:0.289387:0.275194:0.260346:0.275194:0.000000:0.000000:0.000000:0.000000
30/36:@0.381119:0.290257:0.417917:0.290257:0.417917:0.275194:0.381119:0.275194:0.000000:0.000000:0.000000:0.000000:0.000000
180/36:@0.507837:0.290257:0.552393:0.290257:0.552393:0.275194:0.507837:0.275194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7:@0.160593:0.307684:0.168350:0.307684:0.168350:0.292620:0.160593:0.292620:0.000000
6/36:@0.260363:0.307684:0.289404:0.307684:0.289404:0.292620:0.260363:0.292620:0.000000:0.000000:0.000000:0.000000
42/36:@0.381136:0.307684:0.417935:0.307684:0.417935:0.292620:0.381136:0.292620:0.000000:0.000000:0.000000:0.000000:0.000000
294/36:@0.507855:0.307684:0.552410:0.307684:0.552410:0.292620:0.507855:0.292620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8:@0.160610:0.325110:0.168367:0.325110:0.168367:0.310047:0.160610:0.310047:0.000000
5/36:@0.260381:0.325110:0.289422:0.325110:0.289422:0.310047:0.260381:0.310047:0.000000:0.000000:0.000000:0.000000
40/36:@0.381154:0.325110:0.417952:0.325110:0.417952:0.310047:0.381154:0.310047:0.000000:0.000000:0.000000:0.000000:0.000000
320/36:@0.507872:0.325110:0.552428:0.325110:0.552428:0.310047:0.507872:0.310047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9:@0.160628:0.342536:0.168385:0.342536:0.168385:0.327473:0.160628:0.327473:0.000000
4/36:@0.260398:0.342536:0.289440:0.342536:0.289440:0.327473:0.260398:0.327473:0.000000:0.000000:0.000000:0.000000
36/36:@0.381171:0.342536:0.417970:0.342536:0.417970:0.327473:0.381171:0.327473:0.000000:0.000000:0.000000:0.000000:0.000000
324/36:@0.507890:0.342536:0.552445:0.342536:0.552445:0.327473:0.507890:0.327473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10:@0.156758:0.359962:0.172272:0.359962:0.172272:0.344899:0.156758:0.344899:0.000000:0.000000
3/36:@0.260398:0.359962:0.289440:0.359962:0.289440:0.344899:0.260398:0.344899:0.000000:0.000000:0.000000:0.000000
30/36:@0.381171:0.359962:0.417970:0.359962:0.417970:0.344899:0.381171:0.344899:0.000000:0.000000:0.000000:0.000000:0.000000
300/36:@0.507890:0.359962:0.552445:0.359962:0.552445:0.344899:0.507890:0.344899:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
11:@0.156758:0.377388:0.172272:0.377388:0.172272:0.362325:0.156758:0.362325:0.000000:0.000000
2/36:@0.260398:0.377388:0.289440:0.377388:0.289440:0.362325:0.260398:0.362325:0.000000:0.000000:0.000000:0.000000
22/36:@0.381171:0.377388:0.417970:0.377388:0.417970:0.362325:0.381171:0.362325:0.000000:0.000000:0.000000:0.000000:0.000000
242/36:@0.507890:0.377388:0.552445:0.377388:0.552445:0.362325:0.507890:0.362325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
12:@0.156758:0.394815:0.172272:0.394815:0.172272:0.379751:0.156758:0.379751:0.000000:0.000000
1/36:@0.260398:0.394815:0.289440:0.394815:0.289440:0.379751:0.260398:0.379751:0.000000:0.000000:0.000000:0.000000
12/36:@0.381171:0.394815:0.417970:0.394815:0.417970:0.379751:0.381171:0.379751:0.000000:0.000000:0.000000:0.000000:0.000000
224/36:@0.507890:0.394815:0.552445:0.394815:0.552445:0.379751:0.507890:0.379751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Total:@0.147400:0.412439:0.181648:0.412439:0.181648:0.397178:0.147400:0.397178:0.000000:0.000000:0.000000:0.000000:0.000000
36/36 = 1:@0.243934:0.412241:0.305921:0.412241:0.305921:0.397178:0.243934:0.397178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
252/36:@0.377302:0.412241:0.421857:0.412241:0.421857:0.397178:0.377302:0.397178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1974/36:@0.504020:0.412241:0.556333:0.412241:0.556333:0.397178:0.504020:0.397178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cálculo de la media :@0.108233:0.445002:0.252528:0.445002:0.252528:0.428505:0.108233:0.428505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o esperanza :@0.108233:0.462353:0.196603:0.462353:0.196603:0.445855:0.108233:0.445855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática::@0.108233:0.479704:0.195697:0.479704:0.195697:0.463206:0.108233:0.463206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
µ E X:@0.108233:0.514521:0.160442:0.514521:0.160442:0.498052:0.108233:0.498052:0.000000:0.000000:0.000000:0.000000:0.000000
 =  ( ) =     :@0.117480:0.514405:0.202055:0.514405:0.202055:0.497908:0.117480:0.497908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x p:@0.202055:0.514521:0.223216:0.514521:0.223216:0.498052:0.202055:0.498052:0.000000:0.000000:0.000000
i:@0.209490:0.517751:0.211702:0.517751:0.211702:0.508149:0.209490:0.508149:0.000000
i:@0.223138:0.517751:0.225350:0.517751:0.225350:0.508149:0.223138:0.508149:0.000000
.:@0.227597:0.514405:0.230352:0.514405:0.230352:0.497908:0.227597:0.497908:0.000000
µ:@0.108230:0.549222:0.117477:0.549222:0.117477:0.532754:0.108230:0.532754:0.000000
 =         = 7.:@0.117477:0.549107:0.195906:0.549107:0.195906:0.532609:0.117477:0.532609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cálculo de :@0.278650:0.445002:0.358562:0.445002:0.358562:0.428505:0.278650:0.428505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la varianza::@0.278650:0.462353:0.355249:0.462353:0.355249:0.445855:0.278650:0.445855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
σ:@0.278659:0.494419:0.289199:0.494419:0.289199:0.475420:0.278659:0.475420:0.000000
2:@0.289194:0.480480:0.294147:0.480480:0.294147:0.470861:0.289194:0.470861:0.000000
 =     :@0.294148:0.486833:0.333950:0.486833:0.333950:0.470335:0.294148:0.470335:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   x p:@0.313240:0.486948:0.362478:0.486948:0.362478:0.470480:0.313240:0.470480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.341386:0.490177:0.343599:0.490177:0.343599:0.480576:0.341386:0.480576:0.000000
2 :@0.345845:0.480483:0.353213:0.480483:0.353213:0.470865:0.345845:0.470865:0.000000:0.000000
i :@0.362402:0.490177:0.369276:0.490177:0.369276:0.480576:0.362402:0.480576:0.000000:0.000000
– .:@0.369276:0.486833:0.399144:0.486833:0.399144:0.470335:0.369276:0.470335:0.000000:0.000000:0.000000
  2:@0.379774:0.480480:0.396391:0.480480:0.396391:0.470861:0.379774:0.470861:0.000000:0.000000:0.000000
µ:@0.382190:0.486948:0.391437:0.486948:0.391437:0.470480:0.382190:0.470480:0.000000
σ:@0.278659:0.528366:0.289199:0.528366:0.289199:0.509367:0.278659:0.509367:0.000000
2:@0.289194:0.514427:0.294147:0.514427:0.294147:0.504809:0.289194:0.504809:0.000000
 =             – 7 .:@0.294148:0.520780:0.393789:0.520780:0.393789:0.504282:0.294148:0.504282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.386080:0.514427:0.391033:0.514427:0.391033:0.504809:0.386080:0.504809:0.000000
σ:@0.278659:0.562313:0.289199:0.562313:0.289199:0.543314:0.278659:0.543314:0.000000
2:@0.289194:0.548374:0.294147:0.548374:0.294147:0.538756:0.289194:0.538756:0.000000
 = 5,8.:@0.294148:0.554727:0.335741:0.554727:0.335741:0.538229:0.294148:0.538229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cálculo de la :@0.449079:0.444998:0.544787:0.444998:0.544787:0.428500:0.449079:0.428500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
desviación típica o :@0.449079:0.462349:0.585109:0.462349:0.585109:0.445851:0.449079:0.445851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estándar::@0.449079:0.479699:0.513521:0.479699:0.513521:0.463202:0.449079:0.463202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
σ:@0.449084:0.518897:0.459625:0.518897:0.459625:0.499898:0.449084:0.499898:0.000000
 =       :@0.459620:0.511311:0.507706:0.511311:0.507706:0.494813:0.459620:0.494813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   x p:@0.495280:0.511427:0.536234:0.511427:0.536234:0.494958:0.495280:0.494958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.515142:0.514655:0.517355:0.514655:0.517355:0.505054:0.515142:0.505054:0.000000
2 :@0.519601:0.504961:0.526969:0.504961:0.526969:0.495343:0.519601:0.495343:0.000000:0.000000
i :@0.536158:0.514655:0.543032:0.514655:0.543032:0.505054:0.536158:0.505054:0.000000:0.000000
– .:@0.543031:0.511311:0.574304:0.511311:0.574304:0.494813:0.543031:0.494813:0.000000:0.000000:0.000000
  2:@0.553530:0.504958:0.570146:0.504958:0.570146:0.495340:0.553530:0.495340:0.000000:0.000000:0.000000
µ:@0.555946:0.511427:0.565193:0.511427:0.565193:0.494958:0.555946:0.494958:0.000000
σ:@0.449084:0.553599:0.459625:0.553599:0.459625:0.534600:0.449084:0.534600:0.000000
 =   5,8 = 2,4.:@0.459620:0.546013:0.548336:0.546013:0.548336:0.529515:0.459620:0.529515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∑:@0.489424:0.515593:0.504802:0.515593:0.504802:0.489770:0.489424:0.489770:0.000000
n:@0.494860:0.496226:0.500319:0.496226:0.500319:0.486624:0.494860:0.486624:0.000000
i:@0.490300:0.521287:0.492513:0.521287:0.492513:0.511685:0.490300:0.511685:0.000000
=1:@0.493636:0.521219:0.504890:0.521219:0.504890:0.511601:0.493636:0.511601:0.000000:0.000000
∑:@0.184966:0.518852:0.200344:0.518852:0.200344:0.493029:0.184966:0.493029:0.000000
n:@0.190402:0.499486:0.195860:0.499486:0.195860:0.489885:0.190402:0.489885:0.000000
i:@0.185842:0.524547:0.188055:0.524547:0.188055:0.514946:0.185842:0.514946:0.000000
=1:@0.189178:0.524479:0.200432:0.524479:0.200432:0.514861:0.189178:0.514861:0.000000:0.000000
252:@0.138238:0.541498:0.163726:0.541498:0.163726:0.525000:0.138238:0.525000:0.000000:0.000000:0.000000
36:@0.142477:0.557836:0.159469:0.557836:0.159469:0.541338:0.142477:0.541338:0.000000:0.000000
1 974:@0.316836:0.513193:0.354962:0.513193:0.354962:0.496695:0.316836:0.496695:0.000000:0.000000:0.000000:0.000000:0.000000
36:@0.327393:0.529532:0.344385:0.529532:0.344385:0.513034:0.327393:0.513034:0.000000:0.000000
∑:@0.313633:0.490774:0.329011:0.490774:0.329011:0.464951:0.313633:0.464951:0.000000
n:@0.319067:0.471408:0.324526:0.471408:0.324526:0.461807:0.319067:0.461807:0.000000
i:@0.314507:0.496469:0.316720:0.496469:0.316720:0.486868:0.314507:0.486868:0.000000
=1:@0.317843:0.496401:0.329097:0.496401:0.329097:0.486783:0.317843:0.486783:0.000000:0.000000
Ejercicio resuelto:@0.108233:0.587316:0.226211:0.587316:0.226211:0.570529:0.108233:0.570529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La variable aleatoria discreta :@0.108233:0.604291:0.339551:0.604291:0.339551:0.587793:0.108233:0.587793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X:@0.108233:0.621757:0.118193:0.621757:0.118193:0.605289:0.108233:0.605289:0.000000
 está definida mediante la si-:@0.118193:0.621642:0.335386:0.621642:0.335386:0.605144:0.118193:0.605144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
guiente tabla::@0.108233:0.638992:0.203787:0.638992:0.203787:0.622495:0.108233:0.622495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determina la esperanza y la :@0.108233:0.673694:0.304814:0.673694:0.304814:0.657196:0.108233:0.657196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
varianza :@0.304371:0.673911:0.369641:0.673911:0.369641:0.657196:0.304371:0.657196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de: a) la variable aleatoria  ; b) la :@0.369239:0.673694:0.599884:0.673694:0.599884:0.657196:0.369239:0.657196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X:@0.548542:0.673810:0.558502:0.673810:0.558502:0.657341:0.548542:0.657341:0.000000
variable aleatoria   = 0,2  + 1.:@0.108233:0.691045:0.320536:0.691045:0.320536:0.674547:0.108233:0.674547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Y:@0.231261:0.691160:0.241395:0.691160:0.241395:0.674692:0.231261:0.674692:0.000000
X:@0.280233:0.691160:0.290193:0.691160:0.290193:0.674692:0.280233:0.674692:0.000000
a):@0.108233:0.725963:0.122778:0.725963:0.122778:0.709249:0.108233:0.709249:0.000000:0.000000
  Calculamos la esperanza y la varianza de la variable aleatoria  .:@0.122779:0.725746:0.572508:0.725746:0.572508:0.709249:0.122779:0.709249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X:@0.559793:0.725862:0.569753:0.725862:0.569753:0.709393:0.559793:0.709393:0.000000
 :@0.108233:0.750225:0.112375:0.750225:0.112375:0.733727:0.108233:0.733727:0.000000
E X:@0.131968:0.750340:0.155837:0.750340:0.155837:0.733872:0.131968:0.733872:0.000000:0.000000:0.000000
( ) =        :@0.139924:0.750225:0.209877:0.750225:0.209877:0.733727:0.139924:0.733727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x p:@0.209877:0.750340:0.231046:0.750340:0.231046:0.733872:0.209877:0.733872:0.000000:0.000000:0.000000
i:@0.217320:0.753570:0.219532:0.753570:0.219532:0.743969:0.217320:0.743969:0.000000
i :@0.230968:0.753570:0.237842:0.753570:0.237842:0.743969:0.230968:0.743969:0.000000:0.000000
= 2(0,3) + 3(0,5) +  4(0,2) = 2,9 .:@0.237841:0.750225:0.475172:0.750225:0.475172:0.733727:0.237841:0.733727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  2:@0.454398:0.743873:0.471012:0.743873:0.471012:0.734255:0.454398:0.734255:0.000000:0.000000:0.000000
µ:@0.456814:0.750340:0.466061:0.750340:0.466061:0.733872:0.456814:0.733872:0.000000
 :@0.108227:0.784926:0.112369:0.784926:0.112369:0.768428:0.108227:0.768428:0.000000
E X:@0.131961:0.785042:0.155831:0.785042:0.155831:0.768573:0.131961:0.768573:0.000000:0.000000:0.000000
( )= 2 (0,3) + 3 (0,5) + 4 (0,2) = 8,9.:@0.139918:0.784926:0.396781:0.784926:0.396781:0.768428:0.139918:0.768428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.155847:0.778574:0.160800:0.778574:0.160800:0.768956:0.155847:0.768956:0.000000
2:@0.190198:0.778574:0.195151:0.778574:0.195151:0.768956:0.190198:0.768956:0.000000
2:@0.254389:0.778574:0.259343:0.778574:0.259343:0.768956:0.254389:0.768956:0.000000
2:@0.318583:0.778574:0.323536:0.778574:0.323536:0.768956:0.318583:0.768956:0.000000
 :@0.108227:0.802277:0.112369:0.802277:0.112369:0.785779:0.108227:0.785779:0.000000
Var X:@0.131961:0.802393:0.172611:0.802393:0.172611:0.785924:0.131961:0.785924:0.000000:0.000000:0.000000:0.000000:0.000000
( ) =  ( ) – ( ( ))  = 8,9 – 2,9  = 0,49.:@0.156698:0.802277:0.430320:0.802277:0.430320:0.785779:0.156698:0.785779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
E X:@0.197656:0.802393:0.221525:0.802393:0.221525:0.785924:0.197656:0.785924:0.000000:0.000000:0.000000
2:@0.221540:0.795925:0.226493:0.795925:0.226493:0.786307:0.221540:0.786307:0.000000
E X:@0.257183:0.802393:0.281052:0.802393:0.281052:0.785924:0.257183:0.785924:0.000000:0.000000:0.000000
2:@0.292957:0.795925:0.297910:0.795925:0.297910:0.786307:0.292957:0.786307:0.000000
2:@0.375278:0.795925:0.380231:0.795925:0.380231:0.786307:0.375278:0.786307:0.000000
b):@0.108224:0.837195:0.124233:0.837195:0.124233:0.820481:0.108224:0.820481:0.000000:0.000000
  Para calcular la esperanza y la varianza de la variable aleatoria  , :@0.124233:0.836978:0.599851:0.836978:0.599851:0.820481:0.124233:0.820481:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Y:@0.582820:0.837094:0.592954:0.837094:0.592954:0.820625:0.582820:0.820625:0.000000
aplicamos sus propiedades::@0.131959:0.854329:0.325437:0.854329:0.325437:0.837831:0.131959:0.837831:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108224:0.871680:0.112366:0.871680:0.112366:0.855182:0.108224:0.855182:0.000000
E Y:@0.131959:0.871796:0.155617:0.871796:0.155617:0.855327:0.131959:0.855327:0.000000:0.000000:0.000000
( ) =  (0,2  + 1) =  (0,2 ) +  (1) = 0,2 ( ) + 1 = 0,2(2,9) + 1 = 1,58,:@0.139723:0.871680:0.595713:0.871680:0.595713:0.855182:0.139723:0.855182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
E:@0.178658:0.871796:0.186615:0.871796:0.186615:0.855327:0.178658:0.855327:0.000000
X:@0.211352:0.871796:0.221312:0.871796:0.221312:0.855327:0.211352:0.855327:0.000000
E:@0.270130:0.871796:0.278086:0.871796:0.278086:0.855327:0.270130:0.855327:0.000000
X:@0.302842:0.871796:0.312802:0.871796:0.312802:0.855327:0.302842:0.855327:0.000000
E:@0.335844:0.871796:0.343800:0.871796:0.343800:0.855327:0.335844:0.855327:0.000000
E X:@0.400074:0.871796:0.423558:0.871796:0.423558:0.855327:0.400074:0.855327:0.000000:0.000000:0.000000
 :@0.108205:0.906381:0.112347:0.906381:0.112347:0.889884:0.108205:0.889884:0.000000
Var Y:@0.131939:0.906497:0.172762:0.906497:0.172762:0.890028:0.131939:0.890028:0.000000:0.000000:0.000000:0.000000:0.000000
( ) = :@0.156676:0.906381:0.197807:0.906381:0.197807:0.889884:0.156676:0.889884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Var:@0.197807:0.906497:0.222544:0.906497:0.222544:0.890028:0.197807:0.890028:0.000000:0.000000:0.000000
(0,2  + 1),   :@0.222544:0.906381:0.306926:0.906381:0.306926:0.889884:0.222544:0.889884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X:@0.248244:0.906497:0.258204:0.906497:0.258204:0.890028:0.248244:0.890028:0.000000
Var Y:@0.306926:0.906497:0.347749:0.906497:0.347749:0.890028:0.306926:0.890028:0.000000:0.000000:0.000000:0.000000:0.000000
( ) = :@0.331662:0.906381:0.372794:0.906381:0.372794:0.889884:0.331662:0.889884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Var:@0.372794:0.906497:0.397530:0.906497:0.397530:0.890028:0.372794:0.890028:0.000000:0.000000:0.000000
(0,2 ) + :@0.397530:0.906381:0.458235:0.906381:0.458235:0.889884:0.397530:0.889884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X:@0.423230:0.906497:0.433190:0.906497:0.433190:0.890028:0.423230:0.890028:0.000000
Var:@0.458235:0.906497:0.482972:0.906497:0.482972:0.890028:0.458235:0.890028:0.000000:0.000000:0.000000
(1).:@0.482972:0.906381:0.506128:0.906381:0.506128:0.889884:0.482972:0.889884:0.000000:0.000000:0.000000:0.000000
 :@0.108205:0.923732:0.112347:0.923732:0.112347:0.907235:0.108205:0.907235:0.000000
Var Y:@0.131939:0.923848:0.172762:0.923848:0.172762:0.907379:0.131939:0.907379:0.000000:0.000000:0.000000:0.000000:0.000000
( ) = 0,2:@0.156676:0.923732:0.217554:0.923732:0.217554:0.907235:0.156676:0.907235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.217589:0.917380:0.222543:0.917380:0.222543:0.907762:0.217589:0.907762:0.000000
Var X:@0.222543:0.923848:0.263193:0.923848:0.263193:0.907379:0.222543:0.907379:0.000000:0.000000:0.000000:0.000000:0.000000
( ) + 0,   :@0.247280:0.923732:0.311915:0.923732:0.311915:0.907235:0.247280:0.907235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Var Y:@0.311915:0.923848:0.352738:0.923848:0.352738:0.907379:0.311915:0.907379:0.000000:0.000000:0.000000:0.000000:0.000000
( ) = 0,04(0,49) = 0,019 6.:@0.336651:0.923732:0.517398:0.923732:0.517398:0.907235:0.336651:0.907235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.392123:0.607342:0.399211:0.607342:0.399211:0.592015:0.392123:0.592015:0.000000
i:@0.399140:0.610191:0.401345:0.610191:0.401345:0.601255:0.399140:0.601255:0.000000
2:@0.449009:0.606999:0.456766:0.606999:0.456766:0.591936:0.449009:0.591936:0.000000
3:@0.506000:0.606999:0.513757:0.606999:0.513757:0.591936:0.506000:0.591936:0.000000
4:@0.562992:0.606999:0.570749:0.606999:0.570749:0.591936:0.562992:0.591936:0.000000
p:@0.391296:0.624769:0.400056:0.624769:0.400056:0.609441:0.391296:0.609441:0.000000
i:@0.399984:0.627616:0.402189:0.627616:0.402189:0.618680:0.399984:0.618680:0.000000
0,3:@0.443872:0.624424:0.461902:0.624424:0.461902:0.609361:0.443872:0.609361:0.000000:0.000000:0.000000
0,5:@0.500864:0.624424:0.518894:0.624424:0.518894:0.609361:0.500864:0.609361:0.000000:0.000000:0.000000
0,2:@0.557856:0.624424:0.575885:0.624424:0.575885:0.609361:0.557856:0.609361:0.000000:0.000000:0.000000
∑:@0.187944:0.754005:0.203323:0.754005:0.203323:0.728182:0.187944:0.728182:0.000000
n:@0.193379:0.734638:0.198837:0.734638:0.198837:0.725036:0.193379:0.725036:0.000000
i:@0.188819:0.759699:0.191031:0.759699:0.191031:0.750097:0.188819:0.750097:0.000000
=1:@0.192155:0.759631:0.203409:0.759631:0.203409:0.750013:0.192155:0.750013:0.000000:0.000000
Glosario:@0.684804:0.674063:0.752269:0.674063:0.752269:0.656380:0.684804:0.656380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
varianza. :@0.685042:0.700876:0.748117:0.700876:0.748117:0.685615:0.685042:0.685615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Media de las :@0.748117:0.700678:0.833955:0.700678:0.833955:0.685615:0.748117:0.685615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
desviaciones cuadráticas de una :@0.638498:0.716520:0.849364:0.716520:0.849364:0.701457:0.638498:0.701457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
variable aleatoria, referidas al :@0.638498:0.732362:0.826291:0.732362:0.826291:0.717299:0.638498:0.717299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
valor medio de esta.:@0.638498:0.748204:0.769312:0.748204:0.769312:0.733141:0.638498:0.733141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.632070:0.677795:0.643474:0.676285:0.638272:0.654141:0.626867:0.655650:0.000000
c:@0.635451:0.688764:0.646050:0.687361:0.640968:0.665727:0.630369:0.667129:0.000000
b:@0.645827:0.681546:0.658540:0.679864:0.653408:0.658021:0.640695:0.659704:0.000000
Competencia :@0.684804:0.104916:0.782426:0.104916:0.782426:0.089444:0.684804:0.089444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.684804:0.117484:0.768866:0.117484:0.768866:0.102012:0.684804:0.102012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La varianza de una :@0.685042:0.141959:0.808717:0.141959:0.808717:0.126896:0.685042:0.126896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
variable aleatoria  , :@0.638498:0.157801:0.766219:0.157801:0.766219:0.142738:0.638498:0.142738:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X Var X:@0.750828:0.157906:0.803334:0.157906:0.803334:0.142870:0.750828:0.142870:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) o   :@0.788805:0.157801:0.842927:0.157801:0.842927:0.142738:0.788805:0.142738:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
σ:@0.825045:0.164683:0.834627:0.164683:0.834627:0.147411:0.825045:0.147411:0.000000
2:@0.834624:0.152000:0.839146:0.152000:0.839146:0.143218:0.834624:0.143218:0.000000
es  un número no negativo que :@0.638496:0.173643:0.845845:0.173643:0.845845:0.158580:0.638496:0.158580:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
también se puede calcular así::@0.638496:0.189485:0.831877:0.189485:0.831877:0.174422:0.638496:0.174422:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Var X:@0.665567:0.212561:0.702682:0.212561:0.702682:0.197525:0.665567:0.197525:0.000000:0.000000:0.000000:0.000000:0.000000
( ) =  ( ) – ( ( )) .:@0.688152:0.212456:0.819589:0.212454:0.819589:0.197391:0.688152:0.197392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
E X:@0.725549:0.212561:0.747343:0.212561:0.747343:0.197525:0.725549:0.197525:0.000000:0.000000:0.000000
2:@0.747345:0.206654:0.751868:0.206654:0.751868:0.197872:0.747345:0.197872:0.000000
E X:@0.779888:0.212560:0.801682:0.212560:0.801682:0.197523:0.779888:0.197523:0.000000:0.000000:0.000000
2:@0.812551:0.206654:0.817073:0.206654:0.817073:0.197872:0.812551:0.197872:0.000000
Las propiedades de la varianza :@0.638500:0.235425:0.838513:0.235425:0.838513:0.220362:0.638500:0.220362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son::@0.638500:0.251267:0.664480:0.251267:0.664480:0.236204:0.638500:0.236204:0.000000:0.000000:0.000000:0.000000
1.:@0.638500:0.274436:0.649705:0.274436:0.649705:0.259175:0.638500:0.259175:0.000000:0.000000
 La varianza de una constante :@0.649705:0.274238:0.845269:0.274238:0.845269:0.259175:0.649705:0.259175:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es cero, es decir, para toda  ::@0.653575:0.290080:0.834541:0.290080:0.834541:0.275017:0.653575:0.275017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.825637:0.290186:0.832198:0.290186:0.832198:0.275149:0.825637:0.275149:0.000000
Var c:@0.708719:0.313157:0.743301:0.313157:0.743301:0.298120:0.708719:0.298120:0.000000:0.000000:0.000000:0.000000:0.000000
( ) = 0.:@0.731305:0.313051:0.776441:0.313051:0.776441:0.297988:0.731305:0.297988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.:@0.638500:0.336220:0.649529:0.336220:0.649529:0.320959:0.638500:0.320959:0.000000:0.000000
 Un valor constante   se puede :@0.649353:0.336022:0.848578:0.336022:0.848578:0.320959:0.649353:0.320959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.777479:0.336127:0.784040:0.336127:0.784040:0.321091:0.777479:0.321091:0.000000
sacar del símbolo de la varian-:@0.653575:0.351864:0.843401:0.351864:0.843401:0.336801:0.653575:0.336801:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
za, elevándolo al cuadrado::@0.653575:0.367706:0.823827:0.367706:0.823827:0.352643:0.653575:0.352643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Var cX:@0.681226:0.390782:0.724902:0.390782:0.724902:0.375746:0.681226:0.375746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) = :@0.703812:0.390677:0.747769:0.390677:0.747769:0.375614:0.703812:0.375614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c Var X:@0.747769:0.390782:0.795974:0.390777:0.795974:0.375741:0.747769:0.375746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.754338:0.384872:0.758860:0.384872:0.758860:0.376091:0.754338:0.376091:0.000000
( ).:@0.781445:0.390672:0.803925:0.390672:0.803925:0.375609:0.781445:0.375609:0.000000:0.000000:0.000000:0.000000
3.:@0.638508:0.413841:0.649713:0.413841:0.649713:0.398580:0.638508:0.398580:0.000000:0.000000
 La varianza de la suma de dos :@0.649713:0.413643:0.849233:0.413643:0.849233:0.398580:0.649713:0.398580:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
variables aleatorias indepen-:@0.653583:0.429485:0.836167:0.429485:0.836167:0.414421:0.653583:0.414421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dientes es igual a la suma :@0.653583:0.445327:0.819244:0.445327:0.819244:0.430263:0.653583:0.430263:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de las varianzas de los dos :@0.653583:0.461169:0.825383:0.461169:0.825383:0.446105:0.653583:0.446105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sumandos::@0.653583:0.477011:0.723486:0.477011:0.723486:0.461947:0.653583:0.461947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Var X Y:@0.646653:0.500087:0.710452:0.500087:0.710452:0.485050:0.646653:0.485050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(  +  ) = :@0.669238:0.499981:0.733319:0.499981:0.733319:0.484918:0.669238:0.484918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Var X:@0.733319:0.500087:0.770434:0.500087:0.770434:0.485050:0.733319:0.485050:0.000000:0.000000:0.000000:0.000000:0.000000
( ) + :@0.755904:0.499981:0.793301:0.499981:0.793301:0.484918:0.755904:0.484918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Var Y:@0.793301:0.500087:0.830574:0.500087:0.830574:0.485050:0.793301:0.485050:0.000000:0.000000:0.000000:0.000000:0.000000
( ).:@0.815886:0.499981:0.838524:0.499981:0.838524:0.484918:0.815886:0.484918:0.000000:0.000000:0.000000:0.000000
 ©:@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