123:@0.917174:0.510692:0.945535:0.510692:0.945535:0.494068:0.917174:0.494068:0.000000:0.000000:0.000000
1. :@0.120102:0.171686:0.138843:0.171686:0.138843:0.154550:0.120102:0.154550:0.000000:0.000000:0.000000
Se tiene dos grupos de barajas, del As al 4 de :@0.153346:0.171686:0.496413:0.171686:0.496413:0.155297:0.153346:0.155297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diamante y del 5 al 8 de corazones negros. Se :@0.153346:0.188282:0.496413:0.188282:0.496413:0.171893:0.153346:0.171893:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
saca varias veces una carta de cada grupo y se :@0.153346:0.204878:0.496394:0.204878:0.496394:0.188490:0.153346:0.188490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
quiere obtener la suma de las cartas obtenidas :@0.153346:0.221475:0.496337:0.221475:0.496337:0.205086:0.153346:0.205086:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(considerar que el As vale uno).:@0.153346:0.238071:0.381312:0.238071:0.381312:0.221682:0.153346:0.221682:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.153346:0.269383:0.172068:0.269383:0.172068:0.252482:0.153346:0.252482:0.000000:0.000000:0.000000
Define:@0.186589:0.269383:0.237265:0.269383:0.237265:0.252759:0.186589:0.252759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la variable aleatoria discreta.:@0.237265:0.269383:0.446327:0.269383:0.446327:0.252994:0.237265:0.252994:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________________________________:@0.186589:0.295578:0.492156:0.295578:0.492156:0.278677:0.186589:0.278677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________________________________:@0.186589:0.318204:0.492156:0.318204:0.492156:0.301303:0.186589:0.301303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.153346:0.345948:0.173376:0.345948:0.173376:0.329047:0.153346:0.329047:0.000000:0.000000:0.000000
Completa:@0.186589:0.345948:0.261608:0.345948:0.261608:0.329324:0.186589:0.329324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el espacio muestral del evento::@0.261608:0.345948:0.492339:0.345948:0.492339:0.329559:0.261608:0.329559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.153346:0.372142:0.157160:0.372142:0.157160:0.355242:0.153346:0.355242:0.000000
As:@0.292050:0.375219:0.310515:0.375219:0.310515:0.358595:0.292050:0.358595:0.000000:0.000000
2:@0.351203:0.375219:0.360656:0.375219:0.360656:0.358595:0.351203:0.358595:0.000000
4:@0.460497:0.375219:0.469951:0.375219:0.469951:0.358595:0.460497:0.358595:0.000000
6:@0.296786:0.397320:0.305779:0.397320:0.305779:0.380931:0.296786:0.380931:0.000000
9:@0.460719:0.397320:0.469711:0.397320:0.469711:0.380931:0.460719:0.380931:0.000000
6:@0.225748:0.419421:0.235201:0.419421:0.235201:0.402796:0.225748:0.402796:0.000000
7:@0.296786:0.419421:0.305779:0.419421:0.305779:0.403032:0.296786:0.403032:0.000000
10:@0.456222:0.419421:0.474208:0.419421:0.474208:0.403032:0.456222:0.403032:0.000000:0.000000
7:@0.225748:0.441521:0.235201:0.441521:0.235201:0.424897:0.225748:0.424897:0.000000
8:@0.296786:0.441521:0.305779:0.441521:0.305779:0.425132:0.296786:0.425132:0.000000
11:@0.456222:0.441521:0.474208:0.441521:0.474208:0.425132:0.456222:0.425132:0.000000:0.000000
9:@0.296786:0.463622:0.305779:0.463622:0.305779:0.447233:0.296786:0.447233:0.000000
12:@0.456222:0.463622:0.474208:0.463622:0.474208:0.447233:0.456222:0.447233:0.000000:0.000000
c) :@0.153346:0.494547:0.170981:0.494547:0.170981:0.477646:0.153346:0.477646:0.000000:0.000000:0.000000
Construye:@0.186589:0.494547:0.264722:0.494547:0.264722:0.477923:0.186589:0.477923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la tabla de distribución de :@0.264722:0.494547:0.496376:0.494547:0.496376:0.478158:0.264722:0.478158:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.492322:0.494547:0.496358:0.494547:0.496358:0.478158:0.492322:0.478158:0.000000
X =  “suma de los valores de las cartas :@0.186589:0.511143:0.496407:0.511143:0.496407:0.494754:0.186589:0.494754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
seleccionadas”.:@0.186589:0.527740:0.294757:0.527740:0.294757:0.511351:0.186589:0.511351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.153346:0.553934:0.157160:0.553934:0.157160:0.537033:0.153346:0.537033:0.000000
Suma :@0.195696:0.558976:0.242009:0.558976:0.242009:0.542075:0.195696:0.542075:0.000000:0.000000:0.000000:0.000000:0.000000
de las :@0.195678:0.575572:0.242027:0.575572:0.242027:0.558672:0.195678:0.558672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cartas:@0.194552:0.592169:0.239453:0.592169:0.239453:0.575268:0.194552:0.575268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Probabilidad:@0.254438:0.575572:0.346258:0.575572:0.346258:0.558672:0.254438:0.558672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cálculo :@0.360849:0.558976:0.419300:0.558976:0.419300:0.542075:0.360849:0.542075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la :@0.370448:0.575572:0.409701:0.575572:0.409701:0.558672:0.370448:0.558672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
media:@0.364728:0.592169:0.411721:0.592169:0.411721:0.575268:0.364728:0.575268:0.000000:0.000000:0.000000:0.000000:0.000000
Cálculo :@0.433933:0.558976:0.488768:0.558976:0.488768:0.542075:0.433933:0.542075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la :@0.442938:0.575572:0.479763:0.575572:0.479763:0.558672:0.442938:0.558672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
varianza:@0.430110:0.592169:0.489137:0.592169:0.489137:0.575268:0.430110:0.575268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.211480:0.615176:0.220012:0.615176:0.220012:0.598552:0.211480:0.598552:0.000000
i:@0.220012:0.618341:0.222526:0.618341:0.222526:0.608649:0.220012:0.608649:0.000000
p:@0.293848:0.615176:0.304333:0.615176:0.304333:0.598552:0.293848:0.598552:0.000000
i:@0.304333:0.618341:0.306847:0.618341:0.306847:0.608649:0.304333:0.608649:0.000000
x p:@0.374248:0.615176:0.399686:0.615176:0.399686:0.598552:0.374248:0.598552:0.000000:0.000000:0.000000
i:@0.382780:0.618341:0.385294:0.618341:0.385294:0.608649:0.382780:0.608649:0.000000
i:@0.399686:0.618341:0.402200:0.618341:0.402200:0.608649:0.399686:0.608649:0.000000
p x:@0.442884:0.615176:0.468321:0.615176:0.468321:0.598552:0.442884:0.598552:0.000000:0.000000:0.000000
i:@0.453369:0.618341:0.455883:0.618341:0.455883:0.608649:0.453369:0.608649:0.000000
i:@0.468321:0.618341:0.470835:0.618341:0.470835:0.608649:0.468321:0.608649:0.000000
2:@0.470835:0.609133:0.476346:0.609133:0.476346:0.599441:0.470835:0.599441:0.000000
6:@0.212275:0.637273:0.221729:0.637273:0.221729:0.620649:0.212275:0.620649:0.000000
1/16:@0.283627:0.637273:0.317073:0.637273:0.317073:0.620884:0.283627:0.620884:0.000000:0.000000:0.000000:0.000000
6/16:@0.371509:0.637273:0.404955:0.637273:0.404955:0.620884:0.371509:0.620884:0.000000:0.000000:0.000000:0.000000
36/16:@0.438401:0.637273:0.480840:0.637273:0.480840:0.620884:0.438401:0.620884:0.000000:0.000000:0.000000:0.000000:0.000000
7:@0.212275:0.659374:0.221729:0.659374:0.221729:0.642750:0.212275:0.642750:0.000000
8:@0.212275:0.681475:0.221729:0.681475:0.221729:0.664851:0.212275:0.664851:0.000000
9:@0.212275:0.703576:0.221729:0.703576:0.221729:0.686952:0.212275:0.686952:0.000000
10:@0.207558:0.725676:0.226465:0.725676:0.226465:0.709052:0.207558:0.709052:0.000000:0.000000
11:@0.207558:0.747777:0.226465:0.747777:0.226465:0.731153:0.207558:0.731153:0.000000:0.000000
12:@0.207558:0.769878:0.226465:0.769878:0.226465:0.753254:0.207558:0.753254:0.000000:0.000000
Total:@0.198363:0.791979:0.235660:0.791979:0.235660:0.775355:0.198363:0.775355:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.295863:0.791979:0.304856:0.791979:0.304856:0.775590:0.295863:0.775590:0.000000
d) :@0.153362:0.826997:0.173430:0.826997:0.173430:0.810097:0.153362:0.810097:0.000000:0.000000:0.000000
Calcula :@0.186606:0.826997:0.245943:0.826997:0.245943:0.810373:0.186606:0.810373:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la media.:@0.245943:0.826997:0.311729:0.826997:0.311729:0.810608:0.245943:0.810608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________________________________:@0.186606:0.853192:0.492173:0.853192:0.492173:0.836291:0.186606:0.836291:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e) :@0.153362:0.880935:0.172232:0.880935:0.172232:0.864035:0.153362:0.864035:0.000000:0.000000:0.000000
Obtén:@0.186606:0.880935:0.235236:0.880935:0.235236:0.864311:0.186606:0.864311:0.000000:0.000000:0.000000:0.000000:0.000000
 la varianza.:@0.235236:0.880935:0.318935:0.880935:0.318935:0.864547:0.235236:0.864547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________________________________:@0.186606:0.907130:0.492173:0.907130:0.492173:0.890229:0.186606:0.890229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3. :@0.512517:0.487339:0.531258:0.487339:0.531258:0.470203:0.512517:0.470203:0.000000:0.000000:0.000000
En tres granjas A, B y C se tiene vacas. Se define :@0.545760:0.487339:0.888699:0.487339:0.888699:0.470950:0.545760:0.470950:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la variable aleatoria X como X = ”peso en kilo-:@0.545760:0.503935:0.884737:0.503935:0.884737:0.487546:0.545760:0.487546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gramos de las vacas de la granja”.:@0.545760:0.520531:0.786366:0.520531:0.786366:0.504142:0.545760:0.504142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.545760:0.551843:0.564483:0.551843:0.564483:0.534943:0.545760:0.534943:0.000000:0.000000:0.000000
Completa:@0.579004:0.551843:0.654023:0.551843:0.654023:0.535219:0.579004:0.535219:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la distribución de probabilidad :@0.654023:0.551843:0.888789:0.551843:0.888789:0.535454:0.654023:0.535454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para las granjas A, B y C.:@0.579004:0.568440:0.752554:0.568440:0.752554:0.552051:0.579004:0.552051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.545760:0.588604:0.549796:0.588604:0.549796:0.572215:0.545760:0.572215:0.000000
Granja A:@0.579004:0.588604:0.641308:0.588604:0.641308:0.572215:0.579004:0.572215:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.545760:0.641505:0.549796:0.641505:0.549796:0.625116:0.545760:0.625116:0.000000
x:@0.612443:0.614188:0.620349:0.614188:0.620349:0.597799:0.612443:0.597799:0.000000
i:@0.620349:0.617352:0.622594:0.617352:0.622594:0.607797:0.620349:0.607797:0.000000
2 000:@0.673759:0.614188:0.713765:0.614188:0.713765:0.597799:0.673759:0.597799:0.000000:0.000000:0.000000:0.000000:0.000000
3 000:@0.749994:0.614188:0.790000:0.614188:0.790000:0.597799:0.749994:0.597799:0.000000:0.000000:0.000000:0.000000:0.000000
4 000:@0.826229:0.614188:0.866235:0.614188:0.866235:0.597799:0.826229:0.597799:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.611308:0.635376:0.621480:0.635376:0.621480:0.618987:0.611308:0.618987:0.000000
i:@0.621483:0.638541:0.623728:0.638541:0.623728:0.628986:0.621483:0.628986:0.000000
0,5:@0.683165:0.635377:0.704357:0.635377:0.704357:0.618988:0.683165:0.618988:0.000000:0.000000:0.000000
0,2:@0.835654:0.635377:0.856846:0.635377:0.856846:0.618988:0.835654:0.618988:0.000000:0.000000:0.000000
 :@0.545750:0.665209:0.549786:0.665209:0.549786:0.648820:0.545750:0.648820:0.000000
Granja B:@0.578994:0.665209:0.639823:0.665209:0.639823:0.648820:0.578994:0.648820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.545750:0.716685:0.549786:0.716685:0.549786:0.700297:0.545750:0.700297:0.000000
x:@0.612502:0.690813:0.620407:0.690813:0.620407:0.674424:0.612502:0.674424:0.000000
i:@0.620407:0.693976:0.622653:0.693976:0.622653:0.684422:0.620407:0.684422:0.000000
2 000 3 000 4 000 5 000:@0.664429:0.690813:0.876476:0.690813:0.876476:0.674424:0.664429:0.674424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.611358:0.711282:0.621530:0.711282:0.621530:0.694893:0.611358:0.694893:0.000000
i:@0.621542:0.714450:0.623787:0.714450:0.623787:0.704895:0.621542:0.704895:0.000000
0,2:@0.673838:0.711287:0.695029:0.711287:0.695029:0.694898:0.673838:0.694898:0.000000:0.000000:0.000000
0,4:@0.788531:0.711287:0.809723:0.711287:0.809723:0.694898:0.788531:0.694898:0.000000:0.000000:0.000000
0,3:@0.845878:0.711287:0.867070:0.711287:0.867070:0.694898:0.845878:0.694898:0.000000:0.000000:0.000000
 :@0.545729:0.740399:0.549764:0.740399:0.549764:0.724010:0.545729:0.724010:0.000000
Granja C:@0.578972:0.740399:0.640999:0.740399:0.640999:0.724010:0.578972:0.724010:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.545729:0.793299:0.549764:0.793299:0.549764:0.776910:0.545729:0.776910:0.000000
x:@0.589947:0.766007:0.597852:0.766007:0.597852:0.749618:0.589947:0.749618:0.000000
i:@0.597852:0.769171:0.600097:0.769171:0.600097:0.759616:0.597852:0.759616:0.000000
2 000 3 000 4 000 5 000 6 000:@0.618000:0.766007:0.876853:0.766007:0.876853:0.749618:0.618000:0.749618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.588792:0.787195:0.598964:0.787195:0.598964:0.770806:0.588792:0.770806:0.000000
i:@0.598984:0.790359:0.601230:0.790359:0.601230:0.780804:0.598984:0.780804:0.000000
0,2:@0.627408:0.787196:0.648600:0.787196:0.648600:0.770807:0.627408:0.770807:0.000000:0.000000:0.000000
0,4:@0.682120:0.787196:0.703312:0.787196:0.703312:0.770807:0.682120:0.770807:0.000000:0.000000:0.000000
0,1:@0.736832:0.787196:0.758023:0.787196:0.758023:0.770807:0.736832:0.770807:0.000000:0.000000:0.000000
0,05:@0.841759:0.787196:0.871943:0.787196:0.871943:0.770807:0.841759:0.770807:0.000000:0.000000:0.000000:0.000000
b) :@0.545719:0.824607:0.565749:0.824607:0.565749:0.807707:0.545719:0.807707:0.000000:0.000000:0.000000
Calcula:@0.578962:0.824607:0.634392:0.824607:0.634392:0.807983:0.578962:0.807983:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la media de cada distribución.:@0.634392:0.824607:0.857827:0.824607:0.857827:0.808218:0.634392:0.808218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.545719:0.906509:0.549533:0.906509:0.549533:0.889608:0.545719:0.889608:0.000000
f) :@0.545593:0.172055:0.562417:0.172055:0.562417:0.155155:0.545593:0.155155:0.000000:0.000000:0.000000
Determina:@0.578836:0.172055:0.660526:0.172055:0.660526:0.155431:0.578836:0.155431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la desviación estándar.:@0.660526:0.172055:0.828990:0.172055:0.828990:0.155666:0.660526:0.155666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________________________________:@0.578836:0.198250:0.884403:0.198250:0.884403:0.181349:0.578836:0.181349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2. :@0.512349:0.238565:0.531090:0.238565:0.531090:0.221430:0.512349:0.221430:0.000000:0.000000:0.000000
Sea la siguiente función de probabilidad::@0.545593:0.238565:0.844065:0.238565:0.844065:0.222176:0.545593:0.222176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.512349:0.291854:0.516072:0.291854:0.516072:0.274718:0.512349:0.274718:0.000000
x:@0.578223:0.264182:0.586129:0.264182:0.586129:0.247793:0.578223:0.247793:0.000000
i:@0.586127:0.267345:0.588372:0.267345:0.588372:0.257790:0.586127:0.257790:0.000000
1:@0.630080:0.264182:0.639073:0.264182:0.639073:0.247793:0.630080:0.247793:0.000000
2:@0.702243:0.264182:0.711236:0.264182:0.711236:0.247793:0.702243:0.247793:0.000000
3:@0.766095:0.264182:0.775087:0.264182:0.775087:0.247793:0.766095:0.247793:0.000000
4:@0.829946:0.264182:0.838939:0.264182:0.838939:0.247793:0.829946:0.247793:0.000000
p:@0.577101:0.285563:0.587273:0.285563:0.587273:0.269174:0.577101:0.269174:0.000000
i:@0.587261:0.288729:0.589506:0.288729:0.589506:0.279175:0.587261:0.279175:0.000000
0,15:@0.630080:0.285566:0.660265:0.285566:0.660265:0.269177:0.630080:0.269177:0.000000:0.000000:0.000000:0.000000
0,20:@0.702243:0.285566:0.732427:0.285566:0.732427:0.269177:0.702243:0.269177:0.000000:0.000000:0.000000:0.000000
0,25:@0.766095:0.285566:0.796279:0.285566:0.796279:0.269177:0.766095:0.269177:0.000000:0.000000:0.000000:0.000000
0,40:@0.829946:0.285566:0.860131:0.285566:0.860131:0.269177:0.829946:0.269177:0.000000:0.000000:0.000000:0.000000
a) :@0.545590:0.323170:0.564312:0.323170:0.564312:0.306270:0.545590:0.306270:0.000000:0.000000:0.000000
Calcula :@0.578833:0.323170:0.638170:0.323170:0.638170:0.306546:0.578833:0.306546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la media.:@0.638170:0.323170:0.703957:0.323170:0.703957:0.306781:0.638170:0.306781:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________________________________:@0.578833:0.349365:0.884400:0.349365:0.884400:0.332464:0.578833:0.332464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.545590:0.377109:0.565620:0.377109:0.565620:0.360208:0.545590:0.360208:0.000000:0.000000:0.000000
Encuentra:@0.578833:0.377109:0.656837:0.377109:0.656837:0.360485:0.578833:0.360485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la varianza.:@0.656837:0.377109:0.740534:0.377109:0.740534:0.360720:0.656837:0.360720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________________________________:@0.578833:0.403303:0.884400:0.403303:0.884400:0.386403:0.578833:0.386403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c) :@0.545590:0.431047:0.563225:0.431047:0.563225:0.414146:0.545590:0.414146:0.000000:0.000000:0.000000
Halla:@0.578833:0.431047:0.617310:0.431047:0.617310:0.414423:0.578833:0.414423:0.000000:0.000000:0.000000:0.000000:0.000000
 la desviación estándar.:@0.617310:0.431047:0.785775:0.431047:0.785775:0.414658:0.617310:0.414658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________________________________:@0.578833:0.457241:0.884400:0.457241:0.884400:0.440341:0.578833:0.440341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Taller:@0.180593:0.130781:0.241488:0.130781:0.241488:0.096834:0.180593:0.096834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Identifica variables aleatorias discretas y halla la media, varianza y desviación típica. (Ref. I.M.5.10.2.):@0.261615:0.118806:0.718608:0.118806:0.718608:0.108377:0.261615:0.108377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X:@0.186648:0.295301:0.195714:0.295301:0.195714:0.278940:0.186648:0.278940:0.000000
 \Suma de los valores de las cartas :@0.195806:0.295301:0.451101:0.295301:0.451101:0.278912:0.195806:0.278912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
seleccionadas\:@0.186648:0.317927:0.295647:0.317927:0.295647:0.301538:0.186648:0.301538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.225309:0.395391:0.234302:0.395391:0.234302:0.379002:0.225309:0.379002:0.000000
0,3:@0.760337:0.634019:0.781529:0.634019:0.781529:0.617630:0.760337:0.617630:0.000000:0.000000:0.000000
0,1:@0.731240:0.709574:0.752431:0.709574:0.752431:0.693185:0.731240:0.693185:0.000000:0.000000:0.000000
0,25:@0.786265:0.787273:0.816449:0.787273:0.816449:0.770884:0.786265:0.770884:0.000000:0.000000:0.000000:0.000000
8:@0.225309:0.460283:0.234302:0.460283:0.234302:0.443894:0.225309:0.443894:0.000000
7:@0.351428:0.395405:0.360420:0.395405:0.360420:0.379016:0.351428:0.379016:0.000000
8:@0.351428:0.416773:0.360420:0.416773:0.360420:0.400384:0.351428:0.400384:0.000000
9:@0.351428:0.438140:0.360420:0.438140:0.360420:0.421752:0.351428:0.421752:0.000000
10:@0.346931:0.459508:0.364917:0.459508:0.364917:0.443119:0.346931:0.443119:0.000000:0.000000
2/16:@0.285033:0.660573:0.318479:0.660573:0.318479:0.644184:0.285033:0.644184:0.000000:0.000000:0.000000:0.000000
3/16:@0.285033:0.682577:0.318479:0.682577:0.318479:0.666188:0.285033:0.666188:0.000000:0.000000:0.000000:0.000000
4/16:@0.285033:0.704581:0.318479:0.704581:0.318479:0.688192:0.285033:0.688192:0.000000:0.000000:0.000000:0.000000
3/16:@0.285033:0.726585:0.318479:0.726585:0.318479:0.710197:0.285033:0.710197:0.000000:0.000000:0.000000:0.000000
2/16:@0.285033:0.748589:0.318479:0.748589:0.318479:0.732201:0.285033:0.732201:0.000000:0.000000:0.000000:0.000000
1/16:@0.285033:0.770593:0.318479:0.770593:0.318479:0.754205:0.285033:0.754205:0.000000:0.000000:0.000000:0.000000
14/16:@0.372896:0.660573:0.415335:0.660573:0.415335:0.644184:0.372896:0.644184:0.000000:0.000000:0.000000:0.000000:0.000000
24/16:@0.372896:0.682577:0.415335:0.682577:0.415335:0.666188:0.372896:0.666188:0.000000:0.000000:0.000000:0.000000:0.000000
36/16:@0.372896:0.704581:0.415335:0.704581:0.415335:0.688192:0.372896:0.688192:0.000000:0.000000:0.000000:0.000000:0.000000
30/16:@0.372896:0.726585:0.415335:0.726585:0.415335:0.710197:0.372896:0.710197:0.000000:0.000000:0.000000:0.000000:0.000000
22/16:@0.372896:0.748589:0.415335:0.748589:0.415335:0.732201:0.372896:0.732201:0.000000:0.000000:0.000000:0.000000:0.000000
12/16:@0.372896:0.770593:0.415335:0.770593:0.415335:0.754205:0.372896:0.754205:0.000000:0.000000:0.000000:0.000000:0.000000
144/16 1336/16:@0.368399:0.792598:0.490962:0.792611:0.490962:0.776222:0.368399:0.776209:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
98/16:@0.439530:0.660587:0.481969:0.660587:0.481969:0.644198:0.439530:0.644198:0.000000:0.000000:0.000000:0.000000:0.000000
192/16:@0.435034:0.682591:0.486465:0.682591:0.486465:0.666202:0.435034:0.666202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
324/16:@0.435034:0.704595:0.486465:0.704595:0.486465:0.688206:0.435034:0.688206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
300/16:@0.435034:0.726599:0.486465:0.726599:0.486465:0.710210:0.435034:0.710210:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
442/16:@0.435034:0.748603:0.486465:0.748603:0.486465:0.732214:0.435034:0.732214:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
144/16:@0.435034:0.770607:0.486465:0.770607:0.486465:0.754218:0.435034:0.754218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.405292:0.375462:0.414745:0.375462:0.414745:0.358837:0.405292:0.358837:0.000000
8:@0.405513:0.396829:0.414505:0.396829:0.414505:0.380440:0.405513:0.380440:0.000000
9:@0.405513:0.418197:0.414505:0.418197:0.414505:0.401808:0.405513:0.401808:0.000000
10:@0.401016:0.439565:0.419002:0.439565:0.419002:0.423176:0.401016:0.423176:0.000000:0.000000
11:@0.401016:0.460933:0.419002:0.460933:0.419002:0.444544:0.401016:0.444544:0.000000:0.000000
σ:@0.577988:0.402320:0.589100:0.402320:0.593664:0.386747:0.582553:0.386747:0.000000
=:@0.603752:0.402320:0.613869:0.402320:0.613869:0.386747:0.603752:0.386747:0.000000
1,19:@0.615269:0.401642:0.642893:0.401642:0.642893:0.385253:0.615269:0.385253:0.000000:0.000000:0.000000:0.000000
2:@0.594068:0.393980:0.599279:0.393980:0.599279:0.384482:0.594068:0.384482:0.000000
σ:@0.577988:0.456676:0.589100:0.456676:0.593664:0.441103:0.582553:0.441103:0.000000
=:@0.596475:0.456676:0.606592:0.456676:0.606592:0.441103:0.596475:0.441103:0.000000
1,09:@0.607992:0.455998:0.636776:0.455998:0.636776:0.439609:0.607992:0.439609:0.000000:0.000000:0.000000:0.000000
σ:@0.184303:0.906973:0.195415:0.906973:0.199980:0.891400:0.188868:0.891400:0.000000
=:@0.210068:0.906973:0.220184:0.906973:0.220184:0.891400:0.210068:0.891400:0.000000
2,5:@0.222727:0.906295:0.245430:0.906295:0.245430:0.889906:0.222727:0.889906:0.000000:0.000000:0.000000
2:@0.200383:0.898634:0.205595:0.898634:0.205595:0.889136:0.200383:0.889136:0.000000
σ:@0.579088:0.195107:0.590200:0.195107:0.594765:0.179534:0.583653:0.179534:0.000000
=:@0.597576:0.195107:0.607692:0.195107:0.607692:0.179534:0.597576:0.179534:0.000000
1,58:@0.609093:0.194429:0.637877:0.194429:0.637877:0.178040:0.609093:0.178040:0.000000:0.000000:0.000000:0.000000
μ:@0.578773:0.347671:0.589388:0.347671:0.593953:0.332098:0.583338:0.332098:0.000000
=:@0.594538:0.347671:0.604655:0.347671:0.604655:0.332098:0.594538:0.332098:0.000000
2,9:@0.607198:0.346994:0.629905:0.346994:0.629905:0.331324:0.607198:0.331324:0.000000:0.000000:0.000000
μ:@0.185089:0.852798:0.195703:0.852798:0.200268:0.837225:0.189654:0.837225:0.000000
=:@0.200854:0.852798:0.210970:0.852798:0.210970:0.837225:0.200854:0.837225:0.000000
9:@0.213513:0.852121:0.222506:0.852121:0.222506:0.836451:0.213513:0.836451:0.000000
μ:@0.605986:0.854631:0.616600:0.854631:0.621165:0.839059:0.610551:0.839059:0.000000
μ:@0.605980:0.877659:0.616595:0.877659:0.621160:0.862086:0.610545:0.862086:0.000000
μ:@0.605975:0.900686:0.616589:0.900686:0.621154:0.885113:0.610540:0.885113:0.000000
(:@0.620181:0.857086:0.557325:0.857086:0.557325:0.837152:0.620181:0.837152:0.000000
):@0.689174:0.857086:0.626318:0.857086:0.626318:0.837152:0.689174:0.837152:0.000000
(:@0.620181:0.880117:0.558780:0.880117:0.558780:0.860184:0.620181:0.860184:0.000000
):@0.687719:0.880117:0.626318:0.880117:0.626318:0.860184:0.687719:0.860184:0.000000
(:@0.620181:0.903148:0.556845:0.903148:0.556845:0.883215:0.620181:0.883215:0.000000
):@0.689653:0.903148:0.626318:0.903148:0.626318:0.883215:0.689653:0.883215:0.000000
=:@0.697974:0.854631:0.708091:0.854631:0.708091:0.839059:0.697974:0.839059:0.000000
=:@0.696500:0.877659:0.706617:0.877659:0.706617:0.862086:0.696500:0.862086:0.000000
=:@0.698435:0.900686:0.708552:0.900686:0.708552:0.885113:0.698435:0.885113:0.000000
Granja:@0.626973:0.853954:0.673244:0.853954:0.673244:0.838284:0.626973:0.838284:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.673244:0.853954:0.676451:0.853954:0.676451:0.838284:0.673244:0.838284:0.000000
2 700:@0.710616:0.853954:0.749019:0.853954:0.749019:0.838284:0.710616:0.838284:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.719406:0.853954:0.722612:0.853954:0.722612:0.838284:0.719406:0.838284:0.000000
Granja:@0.626954:0.876981:0.673226:0.876981:0.673226:0.861312:0.626954:0.861312:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.673226:0.876981:0.676432:0.876981:0.676432:0.861312:0.673226:0.861312:0.000000
3 800:@0.709142:0.876981:0.747545:0.876981:0.747545:0.861312:0.709142:0.861312:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.717932:0.876981:0.721138:0.876981:0.721138:0.861312:0.717932:0.861312:0.000000
Granja:@0.626954:0.900009:0.673226:0.900009:0.673226:0.884339:0.626954:0.884339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.673226:0.900009:0.676432:0.900009:0.676432:0.884339:0.673226:0.884339:0.000000
3 550:@0.711076:0.900009:0.749480:0.900009:0.749480:0.884339:0.711076:0.884339:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.719866:0.900009:0.723073:0.900009:0.723073:0.884339:0.719866:0.884339:0.000000
A:@0.679252:0.853954:0.689148:0.853954:0.689148:0.838561:0.679252:0.838561:0.000000
B:@0.677778:0.876981:0.686623:0.876981:0.686623:0.861588:0.677778:0.861588:0.000000
C:@0.677778:0.900009:0.687692:0.900009:0.687692:0.884616:0.677778:0.884616:0.000000
 ©:@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 :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000