library(ggplot2)
En el siguiente ejercicio, crearemos una muestra de mil puertas, las cuales detràs de ellas tendremos un premio, los premios estaràn marcados con un signo positivo, mientras que las que tengan el signo negativo, seràn las puertas perdedoras.
puertas=sample(c(rep("+",60),rep("-",940)))
puertas
## [1] "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-"
## [19] "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "+" "-" "-" "-" "-" "-"
## [37] "-" "-" "+" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-"
## [55] "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "+" "-" "-"
## [73] "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-"
## [91] "-" "-" "-" "-" "+" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-"
## [109] "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-"
## [127] "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "+" "+" "-" "-" "-" "-" "-"
## [145] "-" "-" "-" "-" "-" "+" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "+" "-"
## [163] "-" "-" "-" "-" "+" "+" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-"
## [181] "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-"
## [199] "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "+" "-" "-" "-" "-" "-" "-" "-"
## [217] "-" "-" "-" "-" "-" "-" "-" "-" "+" "-" "-" "-" "+" "-" "-" "-" "+" "+"
## [235] "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-"
## [253] "-" "-" "-" "-" "-" "-" "-" "-" "-" "+" "-" "-" "-" "-" "-" "-" "-" "-"
## [271] "+" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "+" "-" "-" "-"
## [289] "-" "-" "-" "-" "-" "-" "-" "-" "-" "+" "-" "-" "-" "-" "-" "-" "-" "-"
## [307] "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-"
## [325] "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-"
## [343] "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "+"
## [361] "-" "+" "-" "-" "-" "-" "-" "+" "-" "-" "-" "-" "-" "+" "-" "-" "-" "-"
## [379] "+" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "+"
## [397] "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "+" "-" "-" "-" "-"
## [415] "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "+" "-" "-" "-" "-" "-" "-" "-"
## [433] "+" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-"
## [451] "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-"
## [469] "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-"
## [487] "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-"
## [505] "-" "-" "-" "-" "+" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "+" "-"
## [523] "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-"
## [541] "+" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-"
## [559] "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-"
## [577] "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-"
## [595] "-" "-" "-" "+" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-"
## [613] "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "+" "-"
## [631] "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-"
## [649] "-" "-" "-" "+" "-" "-" "-" "-" "-" "-" "-" "-" "-" "+" "-" "+" "-" "-"
## [667] "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "+" "-" "-" "-" "-" "-" "-"
## [685] "-" "-" "-" "-" "-" "-" "-" "+" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-"
## [703] "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-"
## [721] "-" "-" "+" "-" "-" "+" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "+" "-"
## [739] "-" "-" "-" "-" "+" "-" "-" "-" "-" "-" "-" "-" "-" "-" "+" "-" "-" "-"
## [757] "-" "+" "+" "-" "-" "-" "-" "+" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-"
## [775] "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "+" "-" "-" "-" "-" "-"
## [793] "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-"
## [811] "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-"
## [829] "-" "-" "-" "-" "-" "-" "-" "-" "-" "+" "-" "-" "-" "-" "+" "-" "-" "-"
## [847] "-" "-" "-" "-" "-" "-" "-" "+" "-" "-" "-" "-" "-" "-" "+" "-" "-" "-"
## [865] "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "+" "-" "-" "-" "-" "-" "-"
## [883] "-" "-" "-" "-" "-" "+" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-"
## [901] "-" "-" "-" "-" "-" "-" "-" "+" "-" "-" "+" "-" "-" "+" "-" "-" "-" "-"
## [919] "-" "-" "-" "-" "-" "-" "-" "-" "-" "+" "-" "-" "+" "-" "-" "-" "-" "-"
## [937] "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-"
## [955] "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "+" "-" "-" "-" "-" "-"
## [973] "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-"
## [991] "-" "-" "-" "+" "-" "-" "-" "-" "-" "-"
Aquì crearemos una funciòn en la cual obtengamos una muestra aleatoria de puertas donde sumemos la cantidad de puertas positivas que se obtengan en dicha muestra de tamaño n
puertas_win=function(n){
muestra_puertas=sample(puertas,size = n)
muestra_puertas_win=sum(muestra_puertas=="+")
return(muestra_puertas_win)
}
Aquì le damos el tamaño a n y repetimos la operaciòn 5000 veces
puertas_win(n=100)
## [1] 4
winner=rep(NA,5000)
for (i in 1:5000) {
winner[i]=puertas_win(n=100)
}
winner
## [1] 6 3 8 6 7 8 12 7 5 10 12 5 5 7 6 5 7 5 6 3 7 8 6 3
## [25] 7 8 3 7 4 7 5 5 8 3 3 6 7 4 7 5 6 6 7 9 12 7 6 6
## [49] 5 3 7 6 8 6 5 5 6 9 3 5 5 11 5 9 5 8 2 6 5 9 4 7
## [73] 8 4 5 5 5 5 5 4 6 7 8 1 6 5 3 3 6 5 4 9 3 8 8 5
## [97] 12 6 7 5 6 5 5 8 4 7 7 2 11 2 5 5 1 6 6 10 6 8 7 7
## [121] 8 4 7 5 6 6 10 7 9 6 7 4 5 3 6 6 9 8 6 5 7 6 8 6
## [145] 8 6 7 8 4 5 5 7 2 8 7 6 8 5 4 5 9 7 3 7 7 9 4 7
## [169] 8 7 6 6 8 9 4 10 9 8 6 2 5 4 6 6 11 7 6 9 6 3 5 10
## [193] 8 5 8 9 7 5 8 10 4 11 6 5 7 2 2 6 4 4 8 7 5 5 7 10
## [217] 6 3 4 3 7 6 3 3 7 8 12 10 6 7 2 7 8 4 5 5 12 3 4 2
## [241] 3 6 3 3 8 7 6 5 8 7 7 5 5 5 4 7 9 1 5 7 2 7 6 7
## [265] 4 5 5 6 7 5 9 2 7 8 5 6 11 3 10 7 9 6 9 5 8 8 5 2
## [289] 4 6 5 7 5 2 4 6 6 7 11 9 6 6 9 7 6 7 6 4 8 3 7 3
## [313] 5 12 5 5 4 4 4 6 7 2 7 3 3 5 3 6 4 8 6 7 2 6 7 6
## [337] 3 6 6 10 5 9 4 4 5 6 4 8 4 8 5 8 3 9 8 7 9 8 8 3
## [361] 4 9 11 5 6 7 6 9 9 6 5 9 4 5 6 5 5 10 4 8 6 2 7 4
## [385] 5 8 6 6 5 7 4 4 8 6 3 7 9 6 1 5 4 7 5 9 9 9 6 3
## [409] 7 3 5 5 4 5 7 7 9 5 4 6 5 9 7 7 9 5 6 7 6 5 8 5
## [433] 7 2 8 3 8 4 6 3 5 5 6 4 10 6 5 3 3 5 9 7 6 8 5 8
## [457] 7 7 6 9 3 7 4 7 7 6 6 6 7 6 12 8 11 8 5 4 4 5 7 2
## [481] 7 7 4 6 3 7 6 6 6 6 4 6 6 5 7 6 4 5 6 9 3 8 7 6
## [505] 5 10 7 9 7 6 7 9 7 9 6 5 13 4 5 1 7 5 6 7 8 7 6 3
## [529] 7 3 5 8 6 3 8 11 2 6 5 6 9 4 7 4 7 4 4 7 2 5 5 5
## [553] 7 1 10 3 3 9 3 4 8 4 4 2 4 5 7 5 4 4 7 10 8 3 11 3
## [577] 7 7 6 6 3 7 7 9 10 9 3 3 6 4 6 5 6 10 8 7 3 4 5 9
## [601] 7 6 8 5 3 2 8 9 5 6 8 4 7 5 8 5 9 7 10 4 7 11 8 6
## [625] 5 7 11 8 8 8 8 6 4 7 5 4 4 4 8 8 2 3 6 4 7 4 8 5
## [649] 4 4 9 6 11 5 5 2 2 7 4 10 5 4 7 8 6 10 7 3 8 6 10 3
## [673] 6 3 3 8 6 5 5 2 5 5 7 5 5 5 4 7 6 8 7 5 11 5 4 4
## [697] 5 5 7 11 6 2 10 3 5 6 6 4 7 7 7 5 3 5 6 4 6 7 8 12
## [721] 8 7 6 6 7 6 7 4 7 4 2 3 5 6 11 11 5 8 8 5 7 5 5 5
## [745] 6 5 2 5 5 9 7 4 3 7 13 5 8 11 7 2 6 10 4 5 3 5 6 5
## [769] 5 8 4 6 6 3 9 4 6 7 7 5 3 8 7 5 12 11 6 5 6 6 7 10
## [793] 3 7 4 6 3 11 7 4 7 5 9 4 10 7 7 6 4 5 7 4 10 7 7 4
## [817] 6 3 7 6 4 5 5 7 6 6 9 9 4 8 0 6 11 6 3 5 2 9 5 7
## [841] 5 11 9 6 5 9 3 5 4 8 4 5 11 5 5 10 9 5 8 2 7 7 7 5
## [865] 9 7 12 8 8 5 4 5 10 7 6 2 4 5 6 5 7 5 8 8 8 5 3 4
## [889] 1 5 5 8 5 5 7 8 6 7 7 5 10 5 3 5 12 1 6 5 4 5 7 10
## [913] 3 4 7 6 6 9 2 10 8 9 6 6 6 5 3 9 9 4 8 9 8 9 3 6
## [937] 9 6 6 5 6 7 5 8 4 5 7 5 4 6 6 9 8 8 9 4 5 5 8 7
## [961] 8 6 5 10 6 10 9 3 7 3 2 7 10 7 9 5 8 5 2 6 4 7 2 6
## [985] 5 6 8 9 8 5 6 7 2 7 6 3 5 6 5 9 6 4 6 3 12 4 5 5
## [1009] 8 7 7 4 6 9 4 2 5 7 5 6 6 6 4 5 6 8 9 2 5 5 5 7
## [1033] 4 5 7 7 3 7 9 4 7 7 8 7 3 7 6 2 9 4 6 4 8 2 7 8
## [1057] 2 3 7 7 4 6 6 3 8 6 4 5 8 5 8 4 7 9 6 7 7 7 4 9
## [1081] 6 4 5 6 10 6 8 7 8 4 7 0 6 2 10 6 4 4 5 5 6 7 5 7
## [1105] 5 4 8 6 5 3 6 9 3 6 12 9 9 8 5 3 8 6 5 7 7 7 6 7
## [1129] 3 13 4 6 6 5 7 5 7 10 5 6 8 7 6 8 8 6 3 7 8 3 5 4
## [1153] 5 8 8 8 8 6 5 5 8 9 6 4 5 12 6 7 8 6 9 3 7 8 7 8
## [1177] 6 4 9 6 7 9 6 14 5 5 7 7 8 6 8 6 7 5 5 4 5 3 4 6
## [1201] 6 6 6 5 6 8 3 5 8 7 8 6 3 6 9 5 5 6 3 2 4 7 8 6
## [1225] 5 5 10 4 5 5 10 5 7 5 4 5 7 3 6 9 7 7 4 6 4 10 6 8
## [1249] 5 5 5 4 8 5 4 5 3 8 5 5 7 5 8 9 5 8 10 9 3 5 2 6
## [1273] 3 4 6 5 6 8 4 3 5 6 4 4 10 3 3 3 9 8 4 8 5 8 8 4
## [1297] 4 3 8 11 8 5 6 7 7 8 10 8 5 5 8 8 6 7 6 5 3 6 2 5
## [1321] 4 1 10 9 4 5 6 7 5 9 6 3 7 10 5 7 8 5 5 5 4 8 7 8
## [1345] 13 9 9 7 6 8 10 6 7 3 6 5 4 2 3 9 9 2 4 7 8 4 8 4
## [1369] 8 4 4 11 8 6 2 6 8 9 6 10 6 3 6 6 6 8 3 5 9 7 4 4
## [1393] 10 5 6 6 11 5 4 10 6 5 6 7 10 7 8 5 7 4 6 5 2 11 6 8
## [1417] 8 8 8 6 4 10 4 10 4 6 7 10 7 9 7 3 7 7 6 6 8 6 7 4
## [1441] 5 4 4 9 9 4 10 9 10 2 4 7 6 9 6 1 8 2 6 6 8 5 8 5
## [1465] 2 5 5 9 6 5 5 2 9 7 5 3 6 8 1 9 4 7 8 6 3 11 6 4
## [1489] 5 3 4 5 7 3 8 6 9 4 5 5 4 2 9 8 4 10 2 8 6 9 1 10
## [1513] 4 7 4 3 8 9 5 4 7 4 9 4 7 5 8 9 3 4 5 7 7 2 8 6
## [1537] 7 6 5 5 6 8 12 5 6 2 6 7 8 9 8 4 7 5 8 7 10 11 6 7
## [1561] 3 5 3 4 7 5 8 11 9 5 9 3 6 5 7 3 7 7 9 4 6 5 3 8
## [1585] 2 13 4 3 2 8 5 4 10 3 6 4 5 9 3 7 5 5 9 5 4 5 7 7
## [1609] 9 7 7 5 6 2 4 5 12 4 11 5 9 4 3 8 4 7 4 6 2 6 5 6
## [1633] 6 5 8 6 7 9 5 7 9 9 3 5 7 8 6 8 6 7 6 8 2 4 8 7
## [1657] 9 3 3 6 5 6 4 8 8 6 6 4 5 8 6 3 7 4 1 7 3 7 6 6
## [1681] 8 8 4 8 5 9 5 5 6 12 8 6 8 9 3 3 4 10 4 9 8 7 5 7
## [1705] 2 6 6 8 8 9 10 6 7 6 6 9 9 6 13 5 7 13 7 9 5 8 3 8
## [1729] 7 5 6 4 3 10 7 10 6 5 8 7 5 7 6 4 8 9 7 2 6 4 9 7
## [1753] 6 5 7 5 3 8 11 3 9 3 9 4 3 1 4 4 10 9 7 5 5 7 4 3
## [1777] 4 6 5 8 3 11 4 7 4 8 6 7 5 6 5 4 5 5 4 5 6 8 5 4
## [1801] 4 12 6 4 8 4 6 3 4 6 3 5 5 13 3 4 10 6 6 4 10 7 3 6
## [1825] 9 5 10 3 8 4 8 6 3 6 5 7 9 8 5 3 7 3 2 7 6 9 6 2
## [1849] 9 6 4 5 8 6 8 6 10 8 3 7 6 6 4 7 6 7 6 4 8 4 7 5
## [1873] 7 5 8 6 0 5 5 4 5 7 7 7 5 7 9 5 7 8 7 6 8 4 9 11
## [1897] 6 9 7 6 4 8 5 6 5 6 6 9 6 10 4 6 6 9 10 3 7 5 1 4
## [1921] 7 3 6 9 4 3 3 9 6 3 6 6 8 4 5 4 7 5 2 2 6 7 8 5
## [1945] 4 7 3 6 7 9 5 4 10 4 5 7 7 8 3 7 6 7 8 4 9 3 6 7
## [1969] 6 5 5 9 5 3 9 3 6 3 4 5 6 2 6 6 3 7 3 5 4 5 9 6
## [1993] 7 7 5 7 4 6 6 7 7 6 7 7 6 1 6 5 4 7 6 9 10 9 3 9
## [2017] 5 5 10 7 9 2 8 8 5 4 3 9 7 7 7 4 4 6 4 7 4 9 5 5
## [2041] 6 7 3 9 3 5 10 6 7 9 6 6 4 3 9 3 6 7 6 4 4 4 3 5
## [2065] 4 8 8 9 5 6 5 5 4 4 4 0 5 7 6 11 8 4 11 5 3 2 5 6
## [2089] 7 6 6 9 10 7 4 11 5 7 4 9 6 1 5 5 12 10 6 7 6 4 6 5
## [2113] 4 1 7 4 4 8 4 7 8 3 6 7 4 6 5 4 5 6 6 5 2 5 3 6
## [2137] 5 5 4 2 4 7 3 6 7 7 2 5 3 5 5 5 4 5 4 6 6 5 7 5
## [2161] 5 5 7 4 8 7 5 5 4 8 4 8 6 6 10 10 6 5 5 4 5 5 7 8
## [2185] 11 4 5 1 6 5 6 4 5 5 8 4 5 3 3 5 8 7 2 4 4 4 6 4
## [2209] 7 9 5 3 8 9 4 8 8 11 4 3 6 11 6 6 2 4 5 4 7 6 7 11
## [2233] 5 6 5 9 13 10 12 6 6 8 9 8 4 3 8 8 4 5 7 4 1 3 5 7
## [2257] 7 10 6 3 2 4 5 5 8 3 9 7 8 4 9 8 6 6 9 2 5 9 6 4
## [2281] 7 8 5 4 4 7 0 6 3 11 7 7 6 7 4 8 11 10 1 5 11 9 7 4
## [2305] 5 8 8 4 4 8 6 6 7 11 9 9 8 5 8 4 4 4 3 8 4 6 10 7
## [2329] 5 7 6 2 4 5 9 7 6 9 3 6 4 8 3 6 4 7 4 7 7 8 8 10
## [2353] 6 11 3 4 2 5 5 5 5 3 7 7 6 5 5 9 5 6 6 4 11 4 3 10
## [2377] 3 5 3 2 4 6 7 4 3 5 7 10 5 4 7 3 7 6 4 6 9 4 5 6
## [2401] 5 7 5 9 6 5 9 5 6 4 7 4 9 3 5 2 5 6 4 8 6 6 6 6
## [2425] 6 7 6 4 5 5 6 6 8 6 8 5 6 7 4 4 4 2 5 6 8 4 3 3
## [2449] 8 4 6 5 4 4 12 7 12 8 7 5 8 10 6 7 1 6 4 7 8 7 3 8
## [2473] 6 3 2 6 8 3 7 4 3 5 6 6 6 3 10 7 6 2 11 5 7 6 4 4
## [2497] 6 5 7 7 9 7 6 6 7 6 4 4 3 7 6 8 7 7 4 4 5 4 5 5
## [2521] 8 2 5 4 7 6 6 5 7 8 6 8 2 5 5 5 7 9 4 4 7 4 7 5
## [2545] 4 6 5 5 8 7 9 7 5 5 9 6 5 5 4 5 5 6 8 1 8 5 5 8
## [2569] 7 6 6 4 6 4 7 5 5 7 3 8 5 6 5 3 7 3 2 4 9 3 2 5
## [2593] 7 5 8 9 4 9 4 4 6 7 6 6 5 4 5 9 6 4 7 5 3 6 6 8
## [2617] 6 2 7 7 4 5 3 5 3 5 5 6 3 6 8 10 5 6 5 7 9 3 6 3
## [2641] 5 5 5 7 9 5 5 5 2 6 5 4 6 11 5 4 3 5 6 4 7 2 6 9
## [2665] 6 6 5 7 6 10 5 5 6 6 6 3 6 12 10 5 7 11 5 9 5 6 9 3
## [2689] 7 9 7 5 5 2 6 6 7 5 4 6 3 9 8 10 4 15 7 5 11 7 8 5
## [2713] 7 12 6 9 6 7 9 2 5 5 9 8 4 6 4 8 3 4 6 8 7 3 4 7
## [2737] 5 3 4 9 7 7 7 6 9 3 7 7 5 3 7 4 4 7 3 7 5 4 8 2
## [2761] 7 7 5 6 8 10 9 5 5 4 6 8 4 6 9 7 5 3 8 6 2 8 7 4
## [2785] 5 5 2 6 6 8 7 2 6 1 6 7 3 7 1 4 10 6 7 10 8 3 1 4
## [2809] 2 4 4 3 4 4 6 7 8 4 5 2 4 2 8 6 9 4 9 4 11 10 5 5
## [2833] 9 7 4 6 2 5 7 5 10 5 4 5 4 7 5 10 6 9 8 2 8 7 3 5
## [2857] 7 5 2 7 4 4 7 3 7 7 6 5 6 5 7 9 6 5 2 6 5 5 6 7
## [2881] 10 7 7 4 5 5 5 5 6 8 3 6 5 5 4 5 5 7 6 7 9 4 4 6
## [2905] 6 8 9 12 5 4 1 4 6 5 4 10 5 6 6 6 5 4 7 7 6 6 8 5
## [2929] 8 7 3 5 6 6 5 4 7 2 5 6 5 8 5 8 2 9 5 2 3 9 4 8
## [2953] 7 6 6 7 5 9 7 5 4 6 9 6 7 12 5 6 5 6 10 6 13 4 3 5
## [2977] 10 7 9 6 7 8 3 9 10 10 5 7 4 5 8 1 8 4 6 7 5 6 6 2
## [3001] 6 8 7 6 7 4 12 4 9 8 9 4 3 10 8 4 5 5 8 6 4 10 6 6
## [3025] 5 6 2 10 8 6 1 5 10 7 6 6 7 4 8 7 6 4 11 7 9 3 5 7
## [3049] 6 8 3 6 8 6 3 9 5 3 3 7 3 6 6 7 5 4 8 10 3 5 5 7
## [3073] 8 7 6 3 5 7 9 7 3 5 3 5 7 10 5 4 6 8 6 5 6 4 5 8
## [3097] 6 7 4 10 3 8 7 4 6 6 10 3 9 7 11 6 6 5 6 5 7 9 2 8
## [3121] 12 7 6 3 7 8 7 5 6 4 6 6 1 10 8 5 2 8 4 6 4 8 4 5
## [3145] 7 4 6 6 6 5 6 6 6 5 8 4 9 5 5 8 4 4 5 5 9 3 4 7
## [3169] 10 2 8 8 7 5 5 6 7 4 6 8 4 7 3 5 6 5 7 7 6 5 4 3
## [3193] 5 7 7 5 6 7 3 6 5 4 8 5 8 7 7 4 2 6 9 6 3 5 3 9
## [3217] 7 9 4 6 6 3 6 8 3 4 6 4 5 6 9 9 6 6 3 1 6 8 3 8
## [3241] 6 6 7 10 11 9 7 9 8 5 6 5 7 6 11 4 5 7 8 5 4 6 4 5
## [3265] 5 5 6 5 11 9 6 8 7 4 9 8 11 7 2 5 2 8 7 5 3 9 4 4
## [3289] 4 3 7 10 5 6 5 2 6 2 6 7 4 3 6 10 4 6 3 6 7 7 6 7
## [3313] 8 8 7 5 4 5 11 10 3 6 2 7 6 4 8 9 7 6 7 6 4 6 7 4
## [3337] 7 6 6 1 7 3 7 9 4 7 6 8 8 8 5 9 5 11 5 5 5 4 8 3
## [3361] 2 6 8 6 10 6 9 4 7 4 8 5 8 4 10 4 8 8 6 8 3 10 8 2
## [3385] 8 5 5 3 12 8 6 4 8 4 5 7 5 4 4 3 10 7 8 6 6 11 4 3
## [3409] 1 2 3 7 5 3 10 4 7 2 3 7 7 7 6 8 6 7 6 5 5 4 5 7
## [3433] 7 5 6 10 4 6 6 8 5 7 4 8 8 9 5 7 8 6 8 7 5 8 3 4
## [3457] 5 3 5 6 6 7 4 3 7 3 6 8 2 3 7 8 8 3 6 4 8 6 5 7
## [3481] 5 3 7 5 6 6 2 6 7 1 7 7 9 9 5 10 5 11 7 9 4 2 5 5
## [3505] 4 7 5 6 7 9 6 8 5 3 7 5 6 5 12 6 8 4 4 8 7 6 6 2
## [3529] 7 5 3 5 8 9 4 8 7 6 5 7 2 10 3 5 3 3 5 7 9 8 6 4
## [3553] 14 2 9 5 5 9 4 6 1 7 6 7 6 4 2 4 7 3 6 10 5 8 8 8
## [3577] 6 5 5 3 7 4 8 2 4 9 13 8 7 6 4 6 8 5 6 7 5 4 4 4
## [3601] 5 6 5 6 7 8 8 3 4 6 13 5 6 7 1 5 8 7 2 5 6 4 6 6
## [3625] 7 6 4 5 9 7 10 6 6 3 5 8 4 2 5 3 6 6 7 8 5 5 6 4
## [3649] 9 8 8 12 8 9 3 4 5 8 5 5 6 10 8 10 7 7 2 2 6 9 5 4
## [3673] 6 3 10 6 6 2 5 10 6 6 10 8 5 4 3 7 7 6 9 5 4 5 4 6
## [3697] 6 11 3 8 6 6 6 12 3 8 7 5 6 10 5 5 7 6 4 7 4 4 4 10
## [3721] 5 7 4 7 4 4 9 8 7 3 4 6 4 5 7 7 1 9 10 6 4 1 8 3
## [3745] 2 2 2 5 8 4 6 7 3 3 7 2 3 4 7 3 4 7 2 7 3 7 1 6
## [3769] 6 5 6 4 9 3 4 8 5 2 6 8 8 3 7 3 6 5 8 5 10 5 3 8
## [3793] 7 6 4 6 6 3 4 2 7 5 4 7 6 7 6 3 4 5 10 10 5 8 5 3
## [3817] 6 12 10 6 8 3 7 5 8 3 9 7 5 8 6 8 6 5 5 9 7 3 4 5
## [3841] 6 6 7 7 7 5 8 8 9 8 2 7 7 7 5 6 8 6 9 8 3 5 7 10
## [3865] 4 5 6 3 6 4 2 9 5 5 3 7 10 8 4 4 6 4 6 4 2 4 7 4
## [3889] 4 4 9 11 6 6 6 8 7 1 11 4 2 0 9 8 3 5 5 5 4 5 5 6
## [3913] 4 4 5 6 8 6 8 4 8 5 6 9 9 8 9 9 8 2 6 9 6 7 5 5
## [3937] 4 7 6 7 3 6 5 6 6 5 7 5 8 5 4 2 8 8 4 4 7 10 7 6
## [3961] 10 8 4 5 4 7 3 10 6 10 6 7 5 9 4 5 10 5 4 5 6 6 7 4
## [3985] 7 9 7 7 4 7 5 7 4 5 4 10 10 8 7 4 5 8 5 11 7 4 7 5
## [4009] 4 5 8 5 7 10 3 5 6 5 7 10 6 6 4 9 4 6 4 1 9 5 8 8
## [4033] 4 4 4 8 1 9 7 6 4 8 8 3 4 9 9 6 2 11 4 3 5 5 8 5
## [4057] 5 3 2 12 7 5 6 3 5 4 4 3 3 10 5 6 6 4 7 5 5 9 1 7
## [4081] 7 5 2 5 4 3 5 6 7 6 6 7 5 9 9 4 4 7 6 9 5 6 6 4
## [4105] 8 5 4 5 5 8 2 4 4 7 4 11 6 8 4 4 3 6 6 4 8 4 8 5
## [4129] 9 7 5 5 4 1 8 7 6 8 5 4 7 3 6 3 6 5 7 5 10 7 4 4
## [4153] 5 5 5 6 7 4 4 6 7 6 8 6 7 5 7 5 8 7 6 6 4 8 9 8
## [4177] 4 7 4 4 2 6 2 3 4 5 8 8 6 5 2 7 4 3 6 6 4 9 4 3
## [4201] 5 3 8 5 4 3 8 8 5 7 6 4 4 13 6 9 4 3 6 7 4 3 5 6
## [4225] 5 5 7 8 5 9 5 5 6 6 8 9 4 9 9 6 3 4 6 7 5 6 6 5
## [4249] 4 5 7 1 9 6 5 7 10 7 6 5 8 5 4 3 9 4 11 2 3 6 2 10
## [4273] 10 10 7 4 10 5 7 5 5 8 7 2 6 5 11 5 7 10 12 4 5 3 3 5
## [4297] 5 9 8 3 3 5 7 10 5 2 6 7 4 3 6 5 7 7 7 6 2 6 3 10
## [4321] 9 7 4 7 6 6 4 5 4 7 5 5 5 9 10 3 2 5 4 10 10 7 6 9
## [4345] 8 5 8 8 6 4 1 4 7 6 7 8 4 10 8 8 9 5 7 7 4 5 5 2
## [4369] 6 11 5 5 7 9 8 7 5 3 5 4 6 8 6 6 5 3 6 9 10 5 8 4
## [4393] 4 3 6 5 6 6 7 4 5 8 4 9 5 9 8 6 7 7 4 4 5 6 4 5
## [4417] 5 4 4 8 6 3 7 1 5 1 5 8 6 8 5 7 5 6 7 5 5 10 7 7
## [4441] 5 6 8 7 4 2 7 5 5 8 8 10 1 3 5 4 8 8 5 5 5 5 4 5
## [4465] 3 7 7 5 7 5 6 9 10 5 5 7 3 6 7 6 6 8 4 7 7 3 6 6
## [4489] 3 9 6 6 4 4 5 4 9 10 8 7 5 6 7 4 3 8 4 12 6 6 6 6
## [4513] 13 5 3 4 10 8 6 6 5 9 6 6 4 9 5 8 4 2 6 6 5 8 6 6
## [4537] 11 6 3 5 8 4 7 5 6 8 9 9 6 7 4 4 4 6 7 7 5 3 7 7
## [4561] 9 3 7 8 4 9 7 8 5 6 4 4 8 4 8 5 7 4 4 6 5 7 4 6
## [4585] 4 2 8 5 5 4 6 3 5 7 4 7 3 5 9 5 4 8 5 4 7 4 5 10
## [4609] 3 9 6 5 4 7 6 4 3 1 6 7 6 9 6 9 7 4 7 9 6 9 5 10
## [4633] 7 7 9 7 5 8 5 3 8 4 9 5 3 9 4 5 3 6 3 9 8 8 9 8
## [4657] 6 9 5 3 9 4 10 6 2 7 8 9 6 8 7 6 7 7 8 8 11 4 7 5
## [4681] 8 3 4 2 3 5 9 2 7 5 3 9 9 6 3 7 0 4 4 8 6 2 4 10
## [4705] 3 6 5 6 4 6 6 9 8 3 5 8 11 5 5 6 3 3 9 4 5 8 1 9
## [4729] 3 4 5 6 7 8 6 6 4 5 9 8 2 7 7 8 8 8 6 9 5 4 5 6
## [4753] 2 5 5 6 9 4 8 12 8 7 5 7 6 7 8 5 10 9 6 10 4 7 5 7
## [4777] 6 7 2 6 9 3 4 3 4 2 5 2 4 11 5 4 9 6 6 10 5 6 3 5
## [4801] 4 12 7 8 5 8 2 5 4 7 5 4 6 9 5 7 10 3 8 12 4 6 4 6
## [4825] 8 4 5 6 8 8 7 6 6 4 7 7 5 6 6 9 2 6 4 7 6 10 4 8
## [4849] 11 6 6 10 11 8 8 5 7 5 4 6 5 3 9 8 4 6 2 5 8 9 8 5
## [4873] 6 6 6 4 7 5 8 6 3 8 9 4 4 3 8 9 10 6 5 6 7 4 3 10
## [4897] 6 9 5 5 6 4 5 4 8 6 4 3 7 8 5 2 8 5 5 8 3 6 5 11
## [4921] 9 6 5 9 4 6 6 5 10 2 5 8 7 4 7 5 2 5 12 5 8 5 3 6
## [4945] 5 4 6 8 9 5 4 4 5 6 6 2 7 5 7 5 5 5 3 4 3 7 3 6
## [4969] 6 4 4 6 5 8 6 12 5 4 6 3 2 3 4 9 3 4 6 6 4 4 8 10
## [4993] 6 3 9 6 8 6 6 6
mean(winner)
## [1] 5.9758
Posteriormente observamos con un histograma el comportamiento normal que se obtiene de los datos.
casos=as.data.frame(winner)
figura=ggplot(data=casos,aes(x=winner))
figura+geom_histogram(binwidth = 0.5)
Repetimos el mismo ejercicio pero cambiando el porcentaje de puertas ganadoras, ya no es un 6%, sino un 30%. Mas posibilidades de ganar.
maspuertas=sample(c(rep("+",300),rep("-",700)))
maspuertas
## [1] "-" "-" "+" "-" "-" "-" "+" "-" "-" "+" "-" "+" "-" "+" "-" "+" "-" "-"
## [19] "-" "+" "-" "-" "-" "-" "+" "-" "-" "+" "-" "+" "+" "+" "-" "-" "+" "+"
## [37] "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "+" "-" "-" "+" "-"
## [55] "-" "+" "+" "-" "-" "-" "-" "-" "+" "+" "-" "-" "+" "-" "+" "-" "-" "-"
## [73] "+" "-" "-" "-" "-" "+" "+" "-" "+" "+" "+" "-" "-" "-" "-" "+" "-" "-"
## [91] "-" "-" "+" "-" "-" "-" "-" "-" "-" "+" "+" "+" "+" "+" "-" "-" "-" "+"
## [109] "-" "-" "+" "-" "-" "+" "+" "-" "-" "-" "-" "+" "-" "-" "-" "-" "-" "-"
## [127] "+" "+" "-" "-" "-" "-" "-" "-" "-" "+" "-" "-" "-" "-" "-" "-" "-" "-"
## [145] "-" "-" "+" "-" "-" "-" "-" "-" "-" "-" "-" "-" "+" "+" "-" "-" "+" "-"
## [163] "-" "+" "+" "-" "-" "+" "-" "-" "+" "-" "-" "+" "+" "-" "-" "-" "-" "-"
## [181] "-" "+" "+" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "+" "-"
## [199] "-" "-" "-" "-" "-" "+" "-" "-" "+" "-" "+" "-" "-" "+" "-" "-" "-" "+"
## [217] "-" "-" "-" "+" "-" "-" "-" "+" "-" "-" "-" "-" "-" "+" "+" "+" "-" "+"
## [235] "-" "+" "-" "-" "+" "+" "+" "-" "-" "-" "-" "+" "-" "-" "-" "-" "-" "-"
## [253] "+" "-" "-" "+" "+" "-" "-" "-" "-" "-" "-" "-" "+" "-" "-" "-" "-" "-"
## [271] "-" "-" "-" "-" "-" "+" "-" "-" "-" "-" "-" "-" "-" "+" "-" "-" "+" "-"
## [289] "-" "+" "+" "-" "+" "-" "-" "-" "+" "-" "-" "+" "-" "-" "+" "-" "-" "-"
## [307] "-" "+" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "+" "-" "-" "-" "-" "-"
## [325] "-" "+" "-" "+" "-" "-" "-" "+" "+" "-" "-" "-" "-" "-" "+" "+" "-" "-"
## [343] "+" "-" "-" "-" "+" "+" "+" "-" "+" "-" "-" "-" "-" "+" "-" "+" "+" "-"
## [361] "-" "+" "+" "-" "-" "-" "-" "-" "-" "+" "-" "-" "-" "-" "-" "+" "-" "-"
## [379] "-" "-" "-" "+" "-" "-" "+" "+" "-" "+" "-" "-" "-" "-" "-" "-" "-" "-"
## [397] "-" "-" "-" "+" "-" "-" "-" "+" "-" "-" "-" "+" "-" "+" "+" "+" "-" "+"
## [415] "-" "-" "-" "+" "-" "-" "-" "+" "+" "+" "-" "-" "-" "+" "+" "-" "-" "-"
## [433] "-" "-" "+" "-" "+" "+" "-" "-" "+" "-" "+" "+" "-" "+" "+" "-" "+" "-"
## [451] "+" "+" "-" "+" "-" "-" "+" "-" "+" "-" "-" "+" "-" "-" "-" "+" "-" "-"
## [469] "-" "-" "-" "-" "-" "-" "-" "+" "+" "-" "-" "-" "-" "-" "-" "-" "-" "-"
## [487] "-" "+" "+" "-" "+" "-" "-" "-" "+" "-" "-" "+" "-" "-" "-" "-" "-" "-"
## [505] "+" "-" "+" "+" "-" "-" "+" "-" "-" "-" "-" "-" "-" "-" "+" "-" "-" "-"
## [523] "-" "-" "+" "-" "-" "-" "-" "+" "-" "+" "-" "-" "-" "-" "-" "-" "-" "-"
## [541] "-" "+" "+" "-" "-" "+" "-" "+" "-" "-" "-" "+" "+" "-" "-" "+" "+" "-"
## [559] "+" "-" "-" "-" "-" "-" "-" "-" "-" "-" "-" "+" "-" "-" "+" "-" "-" "-"
## [577] "-" "+" "+" "+" "-" "+" "+" "-" "-" "+" "-" "+" "+" "-" "-" "-" "-" "-"
## [595] "+" "-" "-" "-" "-" "-" "-" "+" "+" "+" "-" "+" "-" "-" "-" "-" "-" "-"
## [613] "-" "-" "+" "-" "+" "-" "-" "+" "-" "-" "-" "+" "+" "+" "-" "+" "-" "-"
## [631] "+" "-" "-" "-" "-" "-" "-" "+" "-" "-" "+" "+" "-" "+" "-" "-" "-" "+"
## [649] "-" "-" "+" "-" "+" "+" "-" "-" "+" "-" "-" "-" "-" "+" "+" "-" "-" "-"
## [667] "+" "-" "-" "-" "-" "-" "+" "-" "-" "-" "-" "-" "+" "+" "-" "-" "-" "-"
## [685] "-" "-" "-" "-" "+" "-" "+" "-" "-" "-" "-" "+" "-" "-" "+" "-" "-" "-"
## [703] "-" "+" "-" "+" "-" "-" "-" "-" "-" "-" "+" "-" "-" "-" "-" "+" "-" "+"
## [721] "-" "-" "-" "+" "-" "-" "+" "-" "+" "-" "+" "-" "-" "-" "+" "-" "-" "+"
## [739] "-" "-" "-" "-" "-" "-" "+" "-" "-" "+" "-" "-" "-" "-" "-" "-" "-" "+"
## [757] "+" "-" "-" "+" "-" "-" "-" "-" "-" "+" "+" "-" "-" "-" "+" "-" "-" "+"
## [775] "+" "-" "-" "+" "-" "-" "-" "+" "-" "-" "-" "-" "-" "-" "-" "+" "-" "-"
## [793] "+" "-" "-" "-" "-" "-" "-" "+" "+" "+" "-" "-" "+" "+" "-" "-" "+" "-"
## [811] "+" "+" "-" "-" "-" "-" "+" "+" "-" "+" "+" "+" "-" "-" "+" "+" "+" "-"
## [829] "-" "-" "-" "-" "-" "-" "-" "-" "+" "-" "-" "-" "-" "+" "-" "+" "-" "-"
## [847] "-" "-" "+" "-" "-" "+" "+" "+" "-" "-" "+" "-" "-" "-" "-" "-" "+" "+"
## [865] "-" "+" "-" "-" "-" "-" "-" "+" "-" "-" "-" "-" "+" "-" "+" "-" "-" "-"
## [883] "-" "-" "-" "-" "-" "-" "+" "+" "-" "-" "-" "+" "-" "-" "+" "-" "-" "-"
## [901] "-" "-" "-" "-" "+" "+" "-" "-" "+" "-" "-" "-" "+" "-" "-" "+" "+" "-"
## [919] "-" "-" "-" "+" "-" "-" "-" "-" "+" "+" "+" "-" "-" "-" "+" "+" "+" "+"
## [937] "+" "-" "+" "-" "-" "+" "+" "-" "-" "-" "-" "-" "-" "+" "-" "+" "-" "-"
## [955] "-" "-" "+" "-" "-" "+" "-" "+" "-" "-" "-" "-" "+" "-" "+" "-" "-" "-"
## [973] "-" "-" "+" "+" "+" "-" "+" "-" "-" "-" "+" "-" "-" "-" "+" "-" "-" "-"
## [991] "+" "+" "-" "+" "+" "-" "+" "+" "-" "-"
maspuertas_win=function(n){
muestra_maspuertas=sample(puertas,size = n)
muestra_maspuertas_win=sum(muestra_maspuertas=="+")
return(muestra_maspuertas_win)
}
maspuertas_win(n=100)
## [1] 4
maswinner=rep(NA,5000)
for (i in 1:5000) {
maswinner[i]=maspuertas_win(n=100)
}
maswinner
## [1] 4 2 5 8 5 6 8 5 5 5 8 6 8 6 7 3 5 10 7 4 5 7 3 5
## [25] 4 5 7 6 6 4 3 7 8 8 3 6 2 5 7 6 3 3 10 7 6 5 4 5
## [49] 6 7 9 7 6 9 7 4 3 4 4 2 4 5 5 8 3 5 8 7 11 2 6 7
## [73] 4 6 8 9 8 5 7 10 5 10 6 2 4 7 10 8 10 7 5 6 9 4 6 5
## [97] 4 4 3 8 4 7 8 11 3 11 6 5 3 5 10 7 6 5 5 6 7 6 7 5
## [121] 2 2 7 10 3 5 4 3 11 4 6 8 4 5 8 3 7 6 12 6 5 3 7 7
## [145] 5 4 8 3 3 5 8 6 5 7 7 9 9 5 7 6 4 9 4 6 4 7 7 4
## [169] 4 10 10 6 6 5 5 5 5 7 6 8 6 6 5 4 4 6 3 5 6 8 5 6
## [193] 3 6 8 3 3 2 7 5 6 8 3 5 7 6 6 3 2 6 5 6 7 7 7 9
## [217] 5 6 8 6 7 6 3 12 6 8 7 6 6 7 5 10 7 7 5 7 4 3 7 9
## [241] 4 4 7 5 5 7 6 5 5 7 7 8 5 7 5 9 5 8 6 5 5 4 7 11
## [265] 7 9 4 5 9 7 3 7 5 7 7 8 3 3 4 6 7 4 7 2 7 7 10 9
## [289] 5 2 11 4 2 6 5 9 7 3 4 3 9 5 5 8 9 11 8 6 2 6 8 9
## [313] 6 5 7 8 8 4 9 12 8 5 4 5 6 7 5 5 8 3 3 5 5 5 8 3
## [337] 4 7 5 9 8 6 7 3 8 5 10 10 6 11 9 11 6 5 7 5 5 6 5 8
## [361] 10 6 7 2 7 5 6 3 10 6 5 12 6 5 7 3 7 5 4 2 8 7 9 6
## [385] 3 8 7 5 6 6 4 4 5 2 2 4 1 6 10 7 6 5 6 13 6 8 6 8
## [409] 10 5 6 6 7 2 2 4 3 7 9 9 7 5 5 6 5 8 11 7 7 7 3 7
## [433] 5 5 5 5 6 3 7 7 6 3 8 6 6 12 5 8 7 5 11 2 5 5 5 5
## [457] 8 3 5 7 5 5 8 8 8 5 4 6 2 2 4 6 9 4 4 12 8 8 4 4
## [481] 5 5 4 6 3 4 6 7 5 10 3 8 4 8 6 6 6 13 7 3 2 6 3 7
## [505] 6 3 7 6 10 5 6 6 8 8 6 6 7 7 9 3 8 5 2 7 4 8 6 4
## [529] 8 1 6 9 9 5 6 8 3 11 7 4 6 4 8 5 5 7 7 5 6 6 8 6
## [553] 6 7 7 4 6 9 8 6 1 7 7 3 6 6 5 8 8 4 5 6 5 5 3 6
## [577] 4 4 7 7 4 3 8 6 8 5 7 6 8 7 7 4 8 10 5 5 5 6 5 8
## [601] 7 3 7 7 9 6 9 4 7 4 8 5 6 9 4 7 6 4 7 6 6 6 2 4
## [625] 9 6 6 5 5 5 8 4 6 7 5 12 6 5 7 7 6 1 4 0 9 10 6 11
## [649] 5 8 5 9 7 4 5 4 6 5 5 12 8 6 4 9 9 12 9 3 6 7 10 6
## [673] 6 9 8 8 8 6 2 3 5 4 5 4 2 7 6 7 5 5 5 10 3 9 3 6
## [697] 8 4 5 6 8 5 9 7 7 5 3 7 9 7 9 5 5 7 9 7 7 4 5 5
## [721] 6 5 1 7 5 2 8 9 9 3 5 4 9 5 4 2 6 8 3 5 7 7 10 3
## [745] 6 5 4 6 7 5 8 6 7 8 9 4 4 4 2 4 3 5 6 7 5 4 3 7
## [769] 6 6 4 10 4 5 13 6 4 3 4 3 5 7 7 2 3 4 10 9 1 7 5 7
## [793] 9 8 7 8 5 6 6 6 9 3 4 6 7 11 6 2 2 3 7 7 8 6 7 8
## [817] 7 6 6 4 10 4 4 5 5 6 6 3 7 5 6 6 10 5 9 7 3 6 5 4
## [841] 7 4 9 7 4 6 8 5 6 9 7 5 5 3 7 8 4 8 8 12 9 4 5 2
## [865] 3 6 6 6 7 3 7 8 4 9 4 4 6 7 7 4 8 7 6 4 9 5 6 6
## [889] 5 4 9 6 5 12 4 5 7 5 4 6 6 6 2 2 7 7 6 10 6 7 4 5
## [913] 5 7 4 7 11 4 4 7 7 7 9 6 8 13 5 7 7 5 4 6 3 4 5 4
## [937] 5 7 4 6 10 5 4 5 1 4 9 9 6 2 13 7 9 4 7 4 5 9 6 10
## [961] 6 7 6 4 5 7 7 6 7 7 9 7 4 7 5 7 6 5 7 6 7 9 6 3
## [985] 5 4 10 7 3 4 9 3 3 6 6 3 6 7 9 5 10 7 1 5 7 6 6 5
## [1009] 4 6 5 8 3 7 6 6 4 7 4 5 8 5 6 4 7 3 4 9 4 4 6 9
## [1033] 5 7 5 4 7 10 5 3 9 6 6 6 6 5 7 6 11 8 6 7 12 4 6 6
## [1057] 11 5 8 4 3 5 8 5 8 4 3 6 7 6 8 5 3 2 7 8 6 6 3 7
## [1081] 6 5 6 7 9 9 7 8 5 8 9 8 9 6 5 9 6 7 5 2 5 7 10 9
## [1105] 4 5 9 9 6 3 7 8 9 6 7 4 3 5 5 5 4 5 3 3 4 4 4 7
## [1129] 6 6 8 5 5 7 3 7 6 3 4 8 2 8 7 7 5 6 7 6 9 5 3 8
## [1153] 4 8 6 6 9 5 2 6 4 3 6 9 2 7 8 6 2 6 4 8 4 7 6 5
## [1177] 7 7 2 7 7 6 8 7 9 6 8 6 8 9 9 10 13 11 5 7 6 3 5 6
## [1201] 3 6 7 2 4 7 10 6 4 8 3 8 7 5 7 8 4 11 11 3 7 9 6 10
## [1225] 6 9 6 4 6 7 2 6 5 7 8 4 12 4 9 6 8 5 9 2 5 7 8 7
## [1249] 9 6 4 4 8 8 8 6 6 7 7 8 5 3 10 8 5 6 4 7 4 6 5 6
## [1273] 8 3 2 6 2 5 7 6 7 5 2 4 7 5 6 7 6 9 4 7 9 4 6 4
## [1297] 3 7 2 9 5 5 5 7 7 5 4 5 4 5 7 4 8 8 5 8 6 5 5 7
## [1321] 8 5 7 6 6 10 5 3 8 5 4 10 12 7 9 9 7 8 8 7 4 5 4 5
## [1345] 10 2 7 5 8 4 4 5 4 6 9 4 8 3 4 9 6 3 2 9 8 7 7 5
## [1369] 7 8 6 4 4 9 8 7 5 6 7 3 10 9 7 5 5 8 8 8 4 4 6 8
## [1393] 3 10 4 10 6 7 1 6 8 7 4 8 8 7 7 9 7 7 6 6 5 8 6 5
## [1417] 6 5 2 2 6 7 4 6 7 11 5 8 8 4 4 6 3 6 7 7 6 3 7 6
## [1441] 6 7 9 6 2 6 6 6 6 6 5 5 7 5 7 6 9 5 6 7 1 8 5 6
## [1465] 3 12 5 7 5 6 3 6 7 9 8 4 6 7 3 7 6 6 10 9 4 5 5 8
## [1489] 4 6 6 9 3 3 5 5 5 7 5 6 6 10 5 4 8 6 4 8 9 8 5 5
## [1513] 3 7 6 5 3 5 8 3 6 9 5 3 5 5 3 7 3 4 7 8 5 8 5 12
## [1537] 8 2 4 5 7 8 2 9 8 6 4 9 8 7 8 10 5 6 6 10 2 7 7 5
## [1561] 5 4 6 6 2 8 5 7 4 7 6 3 6 3 9 2 5 4 2 3 8 6 5 5
## [1585] 5 6 7 6 11 11 4 5 6 4 3 2 3 6 4 1 5 5 13 5 4 5 9 6
## [1609] 4 3 11 9 6 8 4 4 5 10 11 3 7 5 10 11 9 9 8 4 5 7 8 6
## [1633] 5 5 7 7 8 6 8 5 6 8 7 4 2 6 10 6 5 2 6 4 3 8 5 3
## [1657] 8 8 6 9 9 8 6 4 5 5 7 5 7 7 3 6 7 9 4 4 3 6 2 5
## [1681] 5 8 4 5 8 6 7 9 5 3 1 7 8 5 9 10 9 5 4 9 9 5 7 7
## [1705] 4 6 10 7 5 5 7 5 3 5 4 6 11 6 9 5 7 8 7 8 6 4 8 5
## [1729] 5 5 7 7 5 1 7 7 7 3 9 6 5 6 5 7 8 8 6 6 6 7 9 3
## [1753] 6 3 6 5 6 8 8 6 7 6 6 7 7 4 9 11 6 8 4 7 7 7 5 6
## [1777] 5 6 9 9 5 8 8 7 7 11 8 6 6 5 4 6 5 5 7 3 8 4 6 9
## [1801] 5 4 7 6 7 7 7 8 4 5 5 5 4 4 9 7 2 5 3 9 7 6 9 9
## [1825] 2 10 4 5 6 5 4 4 5 11 4 6 5 5 6 8 8 9 4 7 7 3 4 4
## [1849] 4 6 5 6 6 7 6 3 4 3 6 6 7 4 5 6 6 6 2 5 7 2 6 7
## [1873] 10 3 6 12 5 8 6 6 5 7 12 8 6 6 13 6 10 4 5 4 8 5 9 5
## [1897] 3 7 6 5 5 4 7 7 7 9 13 5 8 7 10 6 2 8 8 6 3 7 5 5
## [1921] 8 4 11 6 5 6 5 5 5 10 9 6 7 8 4 4 5 7 6 8 5 3 8 5
## [1945] 4 5 10 6 6 5 6 4 6 5 7 8 4 9 4 6 4 6 4 4 5 7 7 6
## [1969] 7 5 8 3 6 14 5 5 7 9 6 8 8 5 5 12 4 5 8 7 6 7 7 6
## [1993] 9 3 14 6 8 4 12 7 8 5 8 5 5 7 4 5 8 8 9 7 5 5 4 9
## [2017] 5 6 6 8 3 4 4 9 4 12 5 4 2 6 8 7 9 9 5 7 4 4 1 3
## [2041] 6 8 5 5 6 5 8 9 4 6 11 9 5 4 5 6 4 8 8 4 8 6 6 6
## [2065] 5 5 3 7 4 7 4 2 4 3 7 9 6 3 8 3 3 4 9 9 5 7 5 4
## [2089] 6 8 3 8 5 1 7 3 4 6 5 7 6 5 3 10 6 3 4 10 4 4 7 3
## [2113] 6 3 9 8 6 7 5 6 1 9 12 5 3 5 2 9 5 3 3 7 9 5 5 4
## [2137] 3 7 4 3 4 4 10 4 8 7 8 5 9 6 4 9 3 10 4 5 3 6 7 2
## [2161] 9 6 5 8 7 6 8 4 7 4 4 5 5 5 8 5 2 2 4 8 4 3 2 6
## [2185] 8 5 4 7 5 6 5 5 5 8 7 7 6 5 9 6 4 3 8 5 6 7 4 7
## [2209] 9 2 10 7 3 9 6 7 6 5 7 6 7 7 8 6 3 5 5 5 5 8 10 7
## [2233] 6 5 7 5 3 5 3 5 8 7 5 9 6 8 7 2 9 7 9 5 6 7 7 7
## [2257] 6 5 3 6 6 2 5 7 2 8 3 9 3 9 5 9 4 4 3 14 6 4 4 4
## [2281] 8 9 5 9 5 9 7 4 7 7 6 5 7 3 4 6 8 6 8 3 4 4 6 7
## [2305] 8 6 4 5 5 5 9 4 9 5 5 6 6 8 0 2 10 7 9 8 5 3 8 4
## [2329] 7 7 5 6 5 5 7 6 6 4 6 4 8 2 7 9 4 7 3 6 8 5 5 8
## [2353] 4 5 9 7 6 6 8 7 6 5 8 3 6 7 9 7 4 11 7 8 7 6 3 7
## [2377] 6 2 6 8 5 3 5 9 7 9 8 4 10 8 6 8 10 13 7 4 7 3 7 8
## [2401] 7 6 5 8 3 5 5 4 9 2 9 8 5 6 9 9 7 4 6 3 7 4 3 4
## [2425] 7 4 4 0 4 7 3 10 7 7 6 7 8 5 8 4 7 5 7 6 8 9 4 6
## [2449] 6 8 11 6 6 4 6 5 4 5 6 4 6 4 8 5 7 8 9 1 5 6 3 8
## [2473] 6 5 7 9 6 6 10 7 5 3 7 8 6 4 4 5 5 4 8 6 7 5 6 8
## [2497] 2 8 5 5 6 6 7 7 5 1 9 10 5 3 4 7 6 8 8 6 8 7 6 6
## [2521] 6 7 6 5 10 9 6 2 4 6 7 5 4 9 2 9 8 7 14 3 6 8 5 3
## [2545] 8 11 4 5 6 8 12 10 3 3 4 3 5 10 7 4 6 3 6 8 9 4 1 6
## [2569] 7 5 10 1 6 2 8 7 4 4 6 6 4 7 11 2 4 3 6 7 4 4 12 6
## [2593] 10 5 6 7 3 4 9 3 4 10 4 5 5 2 4 5 10 7 6 3 5 10 8 6
## [2617] 14 3 3 3 6 6 6 8 5 5 5 6 9 7 4 7 5 8 3 11 4 5 6 3
## [2641] 5 7 12 8 11 14 4 6 7 5 7 8 5 11 6 9 5 3 5 4 5 5 6 4
## [2665] 8 5 3 6 6 10 4 7 7 7 4 5 7 10 9 4 4 5 5 7 3 6 2 6
## [2689] 6 6 5 7 4 1 6 5 10 5 6 6 9 6 8 7 8 4 11 3 4 3 7 7
## [2713] 8 5 4 7 4 4 8 5 8 3 10 7 6 4 3 10 1 13 6 8 9 7 4 3
## [2737] 5 8 4 9 6 3 3 7 3 6 9 4 3 7 4 6 9 8 7 8 7 3 4 6
## [2761] 1 7 3 5 7 3 6 4 4 5 3 6 9 10 7 6 7 9 8 5 6 4 6 10
## [2785] 5 5 8 5 7 6 6 5 7 3 6 5 5 9 9 5 4 7 5 7 9 2 5 5
## [2809] 5 7 4 2 9 3 4 4 5 10 6 2 5 6 8 8 5 4 5 6 5 4 8 7
## [2833] 4 11 5 8 3 6 6 4 7 8 12 5 7 3 6 5 5 6 8 5 3 7 7 8
## [2857] 10 4 6 9 8 3 8 5 5 6 8 8 4 4 6 9 8 8 5 4 8 4 5 7
## [2881] 10 6 7 4 4 9 5 8 5 3 6 6 5 7 5 5 6 8 7 3 3 4 7 4
## [2905] 4 6 7 8 2 5 10 6 7 4 3 7 7 3 5 6 8 5 5 4 7 4 4 6
## [2929] 6 7 10 6 4 4 10 5 4 6 4 8 3 6 6 5 7 6 8 7 6 6 7 4
## [2953] 7 6 4 6 11 3 2 6 4 4 9 11 3 6 5 6 7 6 3 8 4 6 4 3
## [2977] 5 6 4 6 8 4 4 5 6 7 3 7 3 4 6 4 6 6 6 9 4 7 2 6
## [3001] 8 5 2 7 11 4 2 4 8 4 5 5 9 7 6 4 7 4 5 4 7 6 5 6
## [3025] 5 8 5 8 6 8 3 2 6 3 7 8 7 4 7 4 6 9 7 8 7 5 6 7
## [3049] 11 4 8 5 9 5 3 5 8 4 8 8 7 6 7 5 5 8 3 6 3 7 4 7
## [3073] 9 6 10 5 2 3 4 4 9 3 6 5 4 3 6 4 8 8 6 6 9 7 4 3
## [3097] 3 5 9 5 4 4 7 10 2 7 8 8 5 5 6 6 7 8 7 4 7 5 4 2
## [3121] 6 4 7 9 5 12 6 6 4 9 5 2 6 6 6 5 7 8 7 6 4 8 4 6
## [3145] 3 2 7 5 5 6 12 6 8 9 5 9 7 4 5 6 6 8 10 6 5 6 9 7
## [3169] 9 4 2 7 5 8 4 4 11 2 9 5 2 2 7 3 4 4 9 5 4 7 12 9
## [3193] 5 6 6 7 2 5 12 5 7 6 8 10 4 9 2 6 4 6 6 6 4 6 10 5
## [3217] 4 8 7 3 7 7 5 5 6 8 7 6 7 5 7 9 10 5 4 4 3 6 9 3
## [3241] 9 3 4 8 6 6 10 6 7 5 5 4 2 7 6 9 3 11 6 4 8 6 10 3
## [3265] 7 6 7 5 7 6 9 3 4 5 7 6 6 4 5 3 3 4 7 7 8 8 7 5
## [3289] 4 9 3 8 8 7 5 4 14 6 7 8 3 7 9 4 7 5 6 8 12 4 5 8
## [3313] 7 8 3 3 4 5 7 8 2 9 7 5 1 6 6 5 6 7 7 5 9 6 6 8
## [3337] 13 9 6 5 5 5 11 4 2 6 5 4 7 5 6 5 10 4 6 4 7 9 4 4
## [3361] 6 6 4 4 4 9 5 4 8 6 8 6 11 3 5 8 4 8 4 7 5 9 7 2
## [3385] 4 7 5 6 8 5 6 5 3 7 3 4 6 5 8 2 6 3 5 8 7 4 6 12
## [3409] 5 6 8 6 4 6 7 7 6 8 8 4 5 7 15 5 6 6 5 1 3 6 6 8
## [3433] 7 7 12 6 3 3 3 7 6 3 8 5 6 6 8 8 9 7 6 7 10 7 4 10
## [3457] 6 1 3 9 1 5 7 7 2 9 10 3 6 6 4 6 4 4 3 11 9 10 5 6
## [3481] 4 8 10 6 4 8 7 5 4 7 8 8 8 10 6 8 8 1 2 7 6 2 6 6
## [3505] 3 5 6 5 5 6 9 8 8 8 8 8 8 6 9 4 5 2 2 9 6 5 8 8
## [3529] 7 8 11 3 3 6 8 5 5 2 6 10 2 10 9 6 7 3 4 9 6 6 5 7
## [3553] 5 7 4 5 6 6 8 8 9 5 5 5 4 6 6 5 5 10 6 6 6 5 4 11
## [3577] 6 9 8 8 3 5 3 7 3 11 4 8 6 8 8 9 5 9 7 8 9 3 8 2
## [3601] 3 6 10 6 6 1 3 6 4 5 10 9 5 6 6 4 6 5 5 4 4 4 5 7
## [3625] 4 5 6 6 5 7 6 10 8 5 6 8 7 4 10 5 3 5 9 7 4 5 5 6
## [3649] 6 7 5 8 5 6 10 9 7 7 5 5 8 7 5 5 4 10 8 4 6 7 10 8
## [3673] 5 11 6 3 7 4 7 10 3 9 9 6 8 6 8 2 2 8 8 7 9 3 4 6
## [3697] 6 10 4 9 8 7 8 3 12 8 8 4 5 5 6 5 8 2 8 8 3 6 8 3
## [3721] 8 5 9 8 11 8 4 9 10 10 9 7 11 6 5 8 6 4 6 7 5 9 5 9
## [3745] 5 8 10 9 6 4 8 6 7 7 10 11 5 5 7 8 6 12 12 3 7 4 6 5
## [3769] 5 5 7 6 2 9 7 10 7 4 3 7 8 7 3 6 4 4 7 6 7 8 5 8
## [3793] 8 8 1 7 7 1 7 10 11 12 4 7 5 3 1 6 6 12 4 5 4 8 3 6
## [3817] 4 5 5 8 7 2 8 1 8 10 4 6 5 10 8 7 5 10 6 3 5 6 3 8
## [3841] 8 5 6 6 4 7 5 7 4 4 3 9 5 8 6 6 4 4 7 8 4 8 3 8
## [3865] 7 8 7 5 8 9 7 7 3 11 5 8 8 8 8 10 6 10 2 5 3 9 6 4
## [3889] 6 3 4 7 5 4 8 8 6 7 6 13 7 3 9 6 7 8 7 6 8 13 8 8
## [3913] 4 9 8 6 5 5 2 8 4 5 4 2 7 6 8 5 6 6 5 5 8 3 8 7
## [3937] 11 5 4 5 7 3 10 7 5 7 3 7 2 6 5 8 5 8 7 8 4 5 8 11
## [3961] 5 6 5 10 7 8 2 6 9 4 8 8 4 5 10 3 3 3 6 7 4 6 5 3
## [3985] 10 6 4 7 7 6 8 6 7 5 7 6 6 7 4 10 4 8 4 5 3 6 6 7
## [4009] 6 7 7 6 7 7 4 7 9 6 5 4 7 3 4 8 3 5 13 4 9 11 1 5
## [4033] 7 7 8 6 5 2 8 4 9 3 5 6 8 7 8 8 5 8 5 7 3 10 3 12
## [4057] 5 12 8 8 6 5 9 9 8 6 9 3 7 5 8 6 4 7 5 4 8 5 7 3
## [4081] 5 3 6 5 5 6 5 10 8 4 7 9 6 5 10 7 3 9 9 6 3 6 8 7
## [4105] 6 2 7 6 7 9 6 6 4 4 6 6 5 4 8 7 10 4 7 3 5 6 1 7
## [4129] 6 5 9 3 7 6 3 7 7 3 6 3 6 3 8 7 5 6 7 2 5 4 5 8
## [4153] 3 6 5 10 8 9 6 9 8 3 5 7 5 7 5 7 7 7 6 7 6 6 6 5
## [4177] 7 9 5 13 9 11 8 7 7 2 4 9 8 6 5 6 11 4 5 4 5 2 10 9
## [4201] 5 7 7 5 8 9 8 7 6 5 8 8 5 5 6 9 3 5 9 5 6 5 4 7
## [4225] 5 6 9 3 8 4 4 5 1 3 7 6 2 8 4 3 4 7 4 5 6 7 6 4
## [4249] 4 7 4 4 7 6 8 5 7 7 6 8 5 7 7 6 4 3 9 12 8 10 5 8
## [4273] 10 7 8 5 5 8 7 8 5 5 5 7 9 7 8 9 5 3 4 8 6 3 9 3
## [4297] 6 8 5 4 8 5 9 1 8 10 3 9 9 7 6 6 8 5 8 6 8 6 5 6
## [4321] 8 4 3 10 5 6 6 6 5 3 6 5 5 3 6 3 6 8 7 7 6 4 4 6
## [4345] 9 3 8 4 7 4 7 8 7 5 5 5 3 8 5 6 7 7 5 5 10 8 8 5
## [4369] 4 9 10 5 5 4 3 6 6 4 6 7 3 8 5 4 7 3 3 10 8 5 6 6
## [4393] 6 6 3 5 5 5 7 7 3 4 4 7 5 5 6 6 10 4 8 7 6 3 5 7
## [4417] 5 5 5 3 3 4 6 6 6 8 5 9 5 10 4 9 10 5 6 4 3 5 4 11
## [4441] 7 5 4 5 8 7 6 8 7 8 9 7 8 7 4 6 3 11 3 5 3 4 8 6
## [4465] 6 8 4 8 4 8 6 7 5 5 4 5 8 4 8 2 5 5 3 5 4 6 2 5
## [4489] 5 5 8 4 8 4 5 3 7 7 7 2 7 4 6 5 3 7 4 5 6 6 11 7
## [4513] 10 9 7 8 6 10 6 12 6 3 3 1 6 8 8 7 10 7 2 4 7 9 3 7
## [4537] 10 7 5 6 5 4 6 6 7 11 7 3 5 10 11 4 4 5 1 8 1 9 8 5
## [4561] 6 2 9 6 6 5 6 2 6 7 7 2 7 4 6 4 10 9 3 5 4 2 13 5
## [4585] 7 8 6 6 5 5 6 7 7 0 10 5 7 8 9 2 2 8 5 8 6 4 5 12
## [4609] 8 4 4 3 8 6 5 10 8 7 4 5 3 5 7 6 7 7 4 8 5 10 7 8
## [4633] 6 10 4 4 5 4 7 8 8 6 4 5 8 8 3 6 3 7 5 8 6 5 8 5
## [4657] 8 3 5 7 6 5 9 7 3 5 5 7 8 12 6 2 4 5 6 8 6 7 1 12
## [4681] 4 8 5 6 7 7 7 6 5 10 8 8 10 10 5 8 10 7 7 4 5 5 5 4
## [4705] 10 11 9 7 7 7 7 3 5 11 6 4 8 4 5 5 4 3 4 9 8 5 12 9
## [4729] 7 13 6 7 5 3 7 7 5 5 5 9 3 6 9 7 9 7 6 3 6 2 4 8
## [4753] 7 6 2 10 8 6 7 3 8 4 11 6 7 5 7 6 4 7 7 4 8 4 2 9
## [4777] 6 5 4 7 8 5 3 7 7 9 5 7 7 6 6 1 7 6 5 9 7 4 5 7
## [4801] 9 10 4 5 6 5 4 5 6 6 6 7 10 9 6 9 4 10 4 4 5 4 11 4
## [4825] 6 8 2 6 8 3 10 6 8 12 5 6 3 11 8 4 7 6 6 6 6 4 8 7
## [4849] 6 7 5 4 8 5 3 5 5 7 7 2 6 8 6 6 7 2 3 6 11 5 6 5
## [4873] 7 9 8 3 3 10 3 5 3 9 8 3 7 4 6 4 7 7 5 12 6 8 7 5
## [4897] 9 5 6 4 6 3 3 4 6 8 4 4 7 4 9 7 4 7 7 4 6 5 2 4
## [4921] 4 8 9 5 5 5 9 4 5 5 3 6 8 5 6 8 3 5 4 9 7 9 5 4
## [4945] 11 7 6 8 9 8 6 5 6 4 11 7 3 4 7 6 2 8 5 11 5 5 6 9
## [4969] 1 1 9 5 4 9 6 9 5 4 5 7 6 7 6 6 7 5 8 7 5 8 7 8
## [4993] 8 10 9 4 2 4 8 6
mean(maswinner)
## [1] 6.0628
mascasos=as.data.frame(maswinner)
figura=ggplot(data=mascasos,aes(x=maswinner))
figura+geom_histogram(binwidth = 0.5)