Laboratorio 2
Angel Cordoba
2025-09-17
Simulación de Variables Aleatorias no uniformes en R
En un centro de soporte técnico de una empresa de software, llegan solicitudes de usuarios que deben ser atendidas por ingenieros de sistemas. Se quiere modelar el proceso de llegada y atención de solicitudes con distribuciones de probabilidad, y simular el sistema con R.
1. Llegadas de solicitudes
Suponga que, en promedio, llegan 5 solicitudes por hora al sistema.
A. Genere 5000 valores aleatorios que representen el número de solicitudes que llegan en cada hora.
B. Interprete el resultado.
C. Realice un gráfico de barras de las frecuencias.
D. Determine la probabilidad impírica de lleguen menos de 3 solicitudes.
promSolicitudes <- 5
solicitudes <- rpois(5000, promSolicitudes)
solicitudes## [1] 8 3 8 4 10 4 4 6 5 4 8 7 4 4 2 6 7 1 8 5 2 4 10 5
## [25] 9 4 2 9 2 4 4 6 7 2 6 7 6 3 2 3 5 6 6 6 6 7 7 5
## [49] 4 6 6 4 9 2 5 4 4 3 4 6 3 4 7 6 5 3 8 5 4 3 3 3
## [73] 7 5 9 4 5 10 5 4 4 2 4 4 8 4 6 5 10 5 3 1 4 5 5 5
## [97] 7 6 2 4 5 4 3 5 6 6 13 1 5 5 4 6 4 9 4 4 4 6 4 6
## [121] 3 5 7 7 4 9 7 4 5 5 1 4 1 5 7 4 2 3 11 7 7 7 4 5
## [145] 2 9 7 4 4 6 3 8 2 5 5 5 3 5 8 4 4 3 4 4 4 3 8 6
## [169] 2 9 3 4 5 8 2 3 4 1 9 3 3 7 6 3 1 7 9 3 2 4 4 4
## [193] 4 9 5 6 10 6 5 2 6 6 3 9 3 6 4 1 5 6 2 5 2 5 3 10
## [217] 5 9 2 7 6 4 3 5 1 10 5 1 4 5 7 4 7 2 5 3 5 3 10 4
## [241] 6 2 4 4 6 7 3 5 8 4 5 6 3 2 1 7 3 9 11 3 4 3 6 2
## [265] 7 5 3 6 5 7 4 9 2 6 3 5 4 9 7 6 3 4 1 3 3 3 3 4
## [289] 3 5 4 4 5 4 5 5 5 3 5 2 5 3 5 2 2 4 2 3 5 4 2 3
## [313] 7 9 5 3 7 3 3 6 2 6 8 4 5 6 7 8 5 7 4 2 5 3 1 7
## [337] 2 0 5 3 3 7 4 1 6 7 5 7 6 5 3 4 6 5 1 4 4 5 7 3
## [361] 5 4 2 4 4 3 7 4 4 5 4 8 8 4 6 3 5 8 5 4 2 6 1 8
## [385] 2 5 7 5 6 4 2 7 6 6 4 2 2 5 9 4 8 8 3 3 2 6 5 5
## [409] 4 5 1 9 3 3 5 3 2 3 7 4 5 6 2 3 3 5 5 5 6 3 5 6
## [433] 0 6 6 3 4 7 4 3 9 3 5 2 6 4 5 3 3 7 2 2 4 4 7 6
## [457] 4 3 1 3 5 11 3 7 1 4 2 6 3 1 10 9 4 4 5 4 10 8 4 6
## [481] 9 2 8 7 3 4 5 5 5 4 8 8 5 4 6 10 3 2 3 5 6 4 1 4
## [505] 8 1 3 1 5 2 6 1 4 1 2 7 7 4 9 7 9 6 9 5 2 4 2 6
## [529] 9 4 6 7 6 5 3 3 4 2 6 4 0 9 2 5 1 2 7 7 4 4 5 2
## [553] 5 3 1 5 6 10 6 9 6 5 2 3 7 6 5 7 4 3 4 7 5 6 5 3
## [577] 4 4 5 7 3 5 5 8 4 9 12 3 6 2 1 4 6 2 8 9 8 6 3 4
## [601] 3 8 4 5 5 2 7 3 3 6 6 2 4 4 7 5 9 7 5 5 7 2 6 8
## [625] 6 5 3 1 5 2 5 3 5 8 1 5 6 8 6 4 7 9 1 4 4 5 11 3
## [649] 7 6 7 4 4 5 4 3 6 9 4 5 6 7 6 1 4 0 4 9 5 7 4 9
## [673] 6 3 6 4 8 6 5 3 5 4 9 3 6 5 5 6 5 9 6 3 4 4 5 9
## [697] 6 1 3 6 5 7 4 6 5 0 5 4 5 10 2 7 9 6 8 4 1 5 7 4
## [721] 9 5 4 5 6 7 8 3 1 3 4 1 6 3 4 6 6 2 3 3 6 6 4 7
## [745] 12 6 5 4 5 8 11 4 7 4 9 7 6 11 6 8 5 8 5 2 3 4 7 2
## [769] 5 7 7 7 5 3 5 2 3 2 6 5 3 2 7 9 5 6 1 7 6 3 4 8
## [793] 5 6 5 2 2 6 3 7 5 5 6 2 5 1 1 6 9 7 6 3 1 7 4 2
## [817] 8 5 4 3 5 4 6 7 6 10 9 4 2 5 7 6 3 5 4 2 3 4 6 3
## [841] 12 3 9 2 5 6 4 9 1 3 4 6 8 6 3 4 6 3 6 6 2 4 2 6
## [865] 8 10 4 6 6 6 5 6 6 9 7 4 3 1 5 4 3 1 8 3 4 6 2 7
## [889] 7 4 2 2 5 3 5 2 3 3 8 4 7 10 8 10 7 0 4 4 3 3 5 7
## [913] 4 8 6 9 4 4 0 3 4 4 6 2 4 3 4 2 5 8 7 5 6 7 4 5
## [937] 3 2 4 3 5 6 8 6 5 4 6 7 2 7 3 8 10 4 4 2 2 8 4 6
## [961] 1 3 2 5 7 5 2 2 7 7 3 2 6 6 4 8 5 5 1 5 4 0 5 8
## [985] 6 5 6 0 1 6 4 2 5 6 7 4 7 4 1 6 7 4 1 3 7 3 6 5
## [1009] 2 5 6 8 5 9 4 9 6 7 5 5 7 7 2 8 7 8 4 4 6 5 5 3
## [1033] 7 5 9 8 7 5 2 4 4 3 4 8 4 3 4 4 4 6 9 6 6 6 2 5
## [1057] 2 6 6 5 4 9 9 2 5 2 6 4 4 6 6 3 7 3 2 4 3 5 8 5
## [1081] 5 4 2 6 7 3 5 3 9 6 7 7 6 0 6 7 6 7 6 5 2 4 5 5
## [1105] 4 3 5 5 5 8 5 2 5 3 4 5 13 4 8 3 6 4 7 8 6 3 9 8
## [1129] 4 4 5 4 8 1 3 4 10 5 5 8 4 7 5 7 2 4 3 8 6 2 5 5
## [1153] 7 5 2 5 5 6 6 6 4 6 7 5 3 3 4 4 5 7 3 4 4 14 5 5
## [1177] 6 5 5 1 1 2 6 2 4 6 3 4 8 6 5 9 3 5 6 6 8 2 3 7
## [1201] 6 7 3 7 4 8 5 6 4 5 2 4 8 2 8 5 3 8 6 5 2 5 5 5
## [1225] 3 2 6 12 4 9 8 4 8 5 5 7 3 9 7 5 6 7 5 7 5 5 6 4
## [1249] 4 7 6 4 3 5 1 5 5 6 3 6 6 9 2 3 5 5 2 7 3 3 6 4
## [1273] 4 6 5 5 2 6 7 5 6 2 6 4 4 0 8 2 4 5 9 7 4 6 5 6
## [1297] 6 6 3 6 4 6 7 7 5 6 8 5 2 4 4 10 7 9 5 7 7 9 8 3
## [1321] 5 8 5 8 5 4 6 4 4 9 2 2 4 3 11 2 6 8 4 7 7 10 5 6
## [1345] 4 6 7 8 8 5 5 2 4 2 5 7 4 6 7 5 6 0 9 3 6 6 7 3
## [1369] 2 4 6 6 5 4 8 1 6 4 2 5 9 5 8 6 2 8 5 4 0 5 6 8
## [1393] 5 6 2 4 8 6 6 5 8 4 3 6 6 6 6 5 9 3 6 6 3 4 5 5
## [1417] 1 6 2 6 6 5 5 10 7 6 4 7 2 5 7 2 6 7 3 6 6 2 2 5
## [1441] 2 3 4 3 6 5 3 3 1 5 1 3 6 2 5 5 6 6 7 4 8 3 4 7
## [1465] 5 5 5 5 5 4 7 6 5 3 3 3 3 3 8 6 7 2 8 5 8 7 5 5
## [1489] 4 1 6 6 3 4 4 4 6 4 3 4 5 2 7 1 5 6 7 2 3 4 3 7
## [1513] 1 9 3 2 6 8 5 3 4 4 7 2 6 5 1 5 6 9 5 9 6 3 3 5
## [1537] 6 2 3 7 5 2 4 2 4 3 2 4 5 5 10 5 7 8 2 2 1 5 4 7
## [1561] 5 6 1 6 3 6 5 5 2 11 5 9 5 4 4 5 8 5 2 2 9 3 4 4
## [1585] 4 4 1 4 3 4 4 4 9 5 2 8 4 8 6 3 7 1 4 8 7 3 6 5
## [1609] 7 1 4 6 9 5 8 12 5 4 3 2 3 8 1 8 3 3 3 3 6 5 6 3
## [1633] 6 2 6 5 6 4 4 4 4 5 5 8 5 4 5 3 3 5 5 7 5 0 2 6
## [1657] 6 4 0 2 4 3 5 4 6 7 5 5 3 3 5 5 3 4 3 7 11 5 13 4
## [1681] 9 9 6 6 6 3 3 7 2 6 4 6 1 7 3 4 4 11 5 2 7 3 4 8
## [1705] 5 5 4 3 3 9 4 4 4 4 5 3 4 4 7 2 8 5 7 2 6 4 9 3
## [1729] 5 4 6 6 7 2 7 8 5 7 4 3 9 3 3 6 6 5 5 3 7 9 6 5
## [1753] 4 4 3 10 5 10 3 1 5 5 7 4 5 5 0 3 5 6 5 5 4 4 6 2
## [1777] 5 2 3 6 4 5 6 5 7 4 6 6 5 2 6 6 5 4 5 3 6 8 6 4
## [1801] 3 4 5 4 5 10 4 7 6 4 5 9 5 4 3 5 3 4 5 4 3 7 3 6
## [1825] 8 3 9 4 6 5 6 4 9 2 2 2 3 8 2 6 6 7 8 7 6 2 4 6
## [1849] 2 3 8 6 3 6 6 3 6 4 6 4 6 6 8 4 5 4 4 3 4 3 2 3
## [1873] 5 8 3 8 1 3 7 5 6 9 3 3 8 2 5 6 5 3 3 3 5 8 5 7
## [1897] 6 2 2 6 3 10 2 5 3 9 3 6 8 11 5 2 9 3 5 3 6 8 6 4
## [1921] 3 9 6 5 8 4 3 6 5 10 4 5 4 6 6 6 5 5 9 5 8 8 4 3
## [1945] 5 7 7 11 6 7 2 3 7 3 5 0 4 8 7 1 5 6 3 2 2 7 2 3
## [1969] 4 4 5 5 8 1 7 3 2 8 2 6 5 1 1 4 11 0 3 5 4 6 3 6
## [1993] 7 6 6 8 7 10 7 4 6 5 6 0 7 9 6 5 5 1 7 4 6 2 3 7
## [2017] 10 4 8 4 5 4 6 6 4 4 6 6 7 1 4 4 5 1 7 6 4 8 6 2
## [2041] 3 5 3 5 6 5 7 3 3 7 7 6 2 6 11 4 4 3 6 7 6 5 3 5
## [2065] 7 4 4 2 8 6 7 6 9 5 7 6 3 5 5 3 11 5 5 3 5 7 8 4
## [2089] 3 10 7 3 3 4 5 8 6 3 4 8 4 4 5 5 5 5 5 3 6 8 2 5
## [2113] 7 6 6 8 7 5 2 5 4 1 3 5 3 7 6 6 2 4 9 11 3 10 4 4
## [2137] 4 4 7 6 4 5 13 6 8 4 7 3 4 5 4 4 6 3 5 3 3 3 5 3
## [2161] 9 3 5 7 4 3 5 5 5 4 6 3 4 6 10 4 8 3 2 6 3 6 5 7
## [2185] 5 5 7 3 6 6 6 7 4 3 8 7 8 4 7 3 5 2 8 5 4 8 4 6
## [2209] 5 5 1 8 5 6 3 5 6 8 4 6 4 5 6 6 1 6 5 8 8 5 8 2
## [2233] 3 5 7 8 5 4 2 11 9 11 7 7 4 7 10 1 6 0 4 4 7 6 9 3
## [2257] 5 3 1 5 2 2 3 9 3 3 2 2 7 6 5 7 5 5 3 5 6 8 9 7
## [2281] 7 6 4 4 5 3 7 9 5 8 4 8 9 4 2 2 6 8 7 6 5 7 4 3
## [2305] 7 2 7 5 4 6 7 6 3 2 5 8 10 3 2 7 5 3 5 6 2 6 5 10
## [2329] 8 4 10 2 9 5 7 4 4 3 4 2 7 6 8 3 5 4 7 6 4 9 7 7
## [2353] 7 4 8 4 7 5 4 3 5 6 2 4 4 7 4 7 7 4 5 5 9 2 6 4
## [2377] 2 6 2 6 3 5 8 4 8 8 6 5 4 4 8 9 7 7 11 2 3 5 5 5
## [2401] 4 8 10 4 5 5 6 5 6 6 6 5 3 6 4 3 8 8 3 11 2 8 3 6
## [2425] 5 2 7 3 5 8 4 4 5 7 3 4 4 6 2 3 5 8 6 2 4 2 6 8
## [2449] 1 5 3 9 6 9 7 7 3 8 4 5 6 1 5 3 5 0 7 5 4 7 2 2
## [2473] 3 5 8 10 6 3 3 6 2 12 6 4 2 2 4 3 4 2 6 2 4 6 1 4
## [2497] 10 1 6 4 2 1 5 3 11 6 5 6 6 6 5 6 3 5 8 5 6 4 8 4
## [2521] 5 7 6 5 4 6 1 5 2 7 7 7 1 7 3 5 7 5 5 9 5 6 5 2
## [2545] 5 6 2 8 6 7 5 5 4 8 0 9 3 6 6 4 5 5 2 6 4 5 3 3
## [2569] 10 9 2 5 10 5 4 1 4 3 5 6 5 6 7 5 4 2 7 2 7 4 6 5
## [2593] 4 5 10 2 5 6 6 4 6 3 7 4 4 3 6 6 2 3 7 7 3 2 8 8
## [2617] 1 6 5 5 8 7 3 9 5 2 9 7 5 4 5 5 9 7 12 5 7 2 4 3
## [2641] 4 5 3 3 5 3 8 4 7 4 5 9 9 3 3 3 4 6 2 8 9 3 6 2
## [2665] 10 5 8 8 0 0 7 6 3 7 5 6 8 5 5 3 7 5 11 5 5 4 3 5
## [2689] 6 3 10 4 4 3 7 3 8 7 8 3 5 7 10 5 12 4 2 4 3 7 6 6
## [2713] 5 5 5 5 4 7 5 7 4 6 2 3 9 10 5 3 7 6 7 5 6 4 9 5
## [2737] 2 8 7 3 7 7 2 8 5 5 2 5 5 6 3 10 2 8 3 4 2 3 7 8
## [2761] 6 7 6 5 6 3 6 5 2 0 7 3 6 3 5 5 3 5 2 8 6 8 3 7
## [2785] 3 6 12 1 3 6 5 11 3 3 4 9 5 3 4 2 9 8 5 5 7 1 9 10
## [2809] 7 6 6 2 8 3 4 1 5 6 3 3 3 4 4 9 2 0 4 4 8 7 6 2
## [2833] 3 2 5 3 9 5 3 1 5 6 10 6 7 2 3 3 4 2 4 6 5 5 3 9
## [2857] 2 7 4 2 4 4 5 5 4 8 4 4 7 6 6 6 4 5 3 7 13 9 7 2
## [2881] 7 6 7 2 5 7 2 1 6 9 4 5 5 6 6 2 9 8 4 6 5 3 4 7
## [2905] 7 6 8 1 2 10 7 5 1 4 3 7 4 3 4 4 6 7 4 4 4 1 7 5
## [2929] 9 3 4 2 5 6 7 1 7 3 5 4 5 5 2 4 9 4 2 5 7 4 8 3
## [2953] 3 4 3 8 6 6 3 8 6 3 8 6 3 5 5 6 4 8 10 6 6 6 3 6
## [2977] 7 4 5 4 6 5 4 4 7 6 7 5 5 9 3 7 3 7 3 4 6 9 4 4
## [3001] 3 8 5 6 2 8 5 6 2 7 5 3 2 2 7 4 5 3 4 3 3 5 3 6
## [3025] 3 2 3 5 5 2 9 6 5 6 3 1 11 2 7 1 6 10 8 9 3 4 5 5
## [3049] 5 6 6 6 8 4 3 4 1 4 7 5 5 10 6 6 2 4 4 6 6 3 6 7
## [3073] 5 5 4 3 10 11 10 6 6 7 6 4 4 4 3 4 3 2 7 5 3 9 5 2
## [3097] 2 7 5 3 6 3 6 3 3 6 4 7 3 7 8 2 4 5 5 4 4 5 7 4
## [3121] 6 3 9 4 6 5 5 4 6 6 8 4 3 2 5 3 6 5 4 6 7 6 2 1
## [3145] 7 5 4 6 9 5 6 4 5 9 3 2 6 3 8 3 4 0 8 3 6 5 3 8
## [3169] 7 1 6 3 4 5 6 5 6 5 2 7 10 5 1 10 3 1 3 5 5 2 7 1
## [3193] 7 6 5 7 10 4 4 7 4 5 1 4 2 2 4 6 7 6 6 5 7 4 4 8
## [3217] 4 2 6 3 5 8 2 5 1 6 10 8 2 4 5 6 3 9 2 5 3 8 3 10
## [3241] 3 5 5 3 5 6 6 5 4 3 5 7 5 3 5 7 3 4 5 4 9 6 0 5
## [3265] 3 2 8 5 5 4 3 3 4 4 0 5 1 5 4 4 3 6 8 4 4 6 6 2
## [3289] 1 9 3 2 4 4 4 6 4 5 8 4 5 8 6 4 7 5 5 4 5 7 4 0
## [3313] 9 4 4 6 8 4 6 10 3 5 6 5 7 6 6 4 5 5 4 6 3 4 6 6
## [3337] 5 5 3 5 7 6 7 9 3 2 4 4 6 8 7 3 8 4 5 3 6 6 8 1
## [3361] 7 3 1 7 1 4 10 5 6 4 4 4 4 6 5 5 6 5 6 3 5 5 6 7
## [3385] 7 4 7 8 10 6 7 2 2 8 1 2 6 3 5 9 5 4 6 5 6 4 4 5
## [3409] 6 4 3 6 4 5 8 10 5 2 5 7 5 8 2 7 8 3 7 7 6 8 3 5
## [3433] 7 5 5 1 10 3 4 6 5 3 8 5 3 3 7 4 8 4 7 5 3 8 6 12
## [3457] 2 6 1 4 10 6 4 6 3 8 8 3 5 2 5 4 4 3 8 8 6 5 6 2
## [3481] 7 3 7 5 4 7 2 5 11 1 5 6 5 10 4 7 11 3 5 4 4 3 3 5
## [3505] 7 5 5 5 5 3 6 7 7 9 1 2 2 4 1 6 7 4 2 9 4 3 2 2
## [3529] 6 5 7 7 6 9 4 4 5 6 2 3 6 4 8 7 5 4 5 4 3 4 6 9
## [3553] 6 3 6 6 10 3 5 8 7 7 3 2 6 4 1 8 6 1 3 5 3 6 4 4
## [3577] 5 3 5 6 8 8 3 9 4 4 0 8 3 2 2 4 12 5 4 5 4 7 3 3
## [3601] 7 9 3 6 5 1 5 2 2 4 3 7 6 7 6 6 8 3 5 9 3 2 5 7
## [3625] 5 7 3 1 3 10 9 6 2 3 3 3 6 4 4 5 3 5 3 4 2 6 1 3
## [3649] 6 9 2 4 7 5 3 5 4 1 5 6 7 8 10 7 11 5 7 9 2 3 7 7
## [3673] 5 4 4 8 2 5 4 1 2 0 2 9 8 5 4 3 2 6 11 4 1 6 6 5
## [3697] 6 4 6 7 3 5 5 4 3 3 4 6 10 2 7 6 7 7 5 4 4 6 7 3
## [3721] 9 5 4 7 2 6 7 5 2 5 4 3 6 4 2 7 5 5 3 2 4 2 7 6
## [3745] 4 2 4 7 4 9 4 5 4 7 5 5 2 5 3 6 2 4 4 7 2 6 2 5
## [3769] 7 5 7 4 10 7 2 2 4 2 4 4 13 4 5 3 5 9 6 4 10 4 10 5
## [3793] 6 3 10 5 7 7 6 3 4 6 3 7 4 8 4 6 7 6 5 1 3 4 4 6
## [3817] 6 4 4 4 3 2 1 2 3 8 2 3 3 0 4 6 6 6 7 4 6 6 7 3
## [3841] 3 5 7 3 3 3 7 3 4 0 5 6 2 3 4 3 5 3 4 2 5 1 5 3
## [3865] 4 2 4 6 4 5 3 6 3 1 6 4 5 1 6 3 4 3 4 10 2 1 6 4
## [3889] 6 4 6 7 7 4 10 4 5 4 5 2 5 5 7 4 7 6 4 3 0 6 9 7
## [3913] 5 4 2 3 8 9 3 5 9 2 7 5 4 7 5 3 6 5 7 6 5 8 8 5
## [3937] 7 2 8 4 2 1 5 4 9 6 6 9 4 6 7 9 5 1 8 5 2 1 5 4
## [3961] 4 4 5 8 5 8 4 5 4 5 7 8 8 8 8 3 5 3 0 3 9 7 7 4
## [3985] 6 10 5 5 7 6 3 3 4 5 5 6 7 3 4 9 3 6 6 2 4 4 4 5
## [4009] 4 11 5 8 3 4 4 7 5 5 5 2 3 7 6 4 5 5 4 7 10 4 4 6
## [4033] 4 4 6 5 7 9 2 7 7 5 4 2 5 2 2 5 5 6 3 4 6 5 2 5
## [4057] 6 8 2 6 5 6 4 9 5 5 1 7 9 3 6 3 5 4 5 4 2 4 3 6
## [4081] 5 6 3 6 8 5 8 4 6 3 6 4 5 4 3 5 11 8 5 2 5 3 4 5
## [4105] 7 6 4 2 5 6 2 6 6 6 7 7 5 5 2 2 5 3 5 4 4 5 8 6
## [4129] 6 3 6 2 3 5 3 6 4 4 13 3 6 2 2 1 2 2 6 2 3 1 5 7
## [4153] 3 4 4 6 4 6 6 5 7 2 4 4 4 7 6 3 7 7 4 5 3 8 2 6
## [4177] 4 8 4 4 3 1 7 2 7 7 0 4 6 3 8 5 6 0 7 4 5 6 3 3
## [4201] 5 8 3 4 2 11 4 7 3 2 5 9 4 4 5 8 7 5 3 6 2 2 7 8
## [4225] 7 4 8 2 7 2 3 1 4 4 5 7 4 4 7 10 7 2 9 4 2 5 6 5
## [4249] 6 4 5 3 3 5 2 5 4 6 6 7 1 6 10 6 4 5 5 3 6 6 4 5
## [4273] 5 4 3 7 1 6 7 9 9 5 7 4 5 8 4 1 2 1 3 7 4 4 8 3
## [4297] 4 5 5 4 5 4 4 3 0 10 8 4 7 6 3 3 9 3 6 7 5 5 5 7
## [4321] 5 4 8 5 6 8 11 4 6 9 6 4 3 6 6 3 10 4 6 5 7 5 4 5
## [4345] 6 6 5 1 7 3 6 3 4 5 2 3 9 6 5 1 6 7 3 8 0 1 9 3
## [4369] 4 5 7 5 3 6 4 6 9 7 6 6 4 8 8 5 3 2 9 3 5 5 1 6
## [4393] 4 7 3 4 5 5 7 5 3 4 6 4 7 2 7 5 9 6 2 6 3 4 6 5
## [4417] 5 10 7 6 7 2 5 2 5 4 3 7 2 4 9 7 7 4 4 1 8 5 2 7
## [4441] 3 3 2 3 5 3 7 6 4 1 7 2 3 9 4 6 1 4 6 7 8 6 7 7
## [4465] 7 6 6 5 6 9 8 5 8 7 4 4 8 3 2 8 5 13 9 7 6 4 4 10
## [4489] 9 2 4 5 9 3 5 3 4 5 6 4 2 3 4 6 7 2 5 2 7 6 3 7
## [4513] 4 5 8 6 10 4 5 6 4 6 3 8 7 3 4 5 6 5 6 4 4 5 3 2
## [4537] 10 6 4 11 2 15 4 7 6 7 6 5 5 1 6 4 5 3 4 4 6 3 6 8
## [4561] 4 6 2 3 8 5 5 2 6 2 5 3 3 4 4 4 5 9 8 7 3 1 3 3
## [4585] 6 4 6 7 4 2 4 3 5 4 8 3 3 9 2 3 5 7 7 6 3 6 2 0
## [4609] 3 4 1 5 3 5 5 4 3 6 5 8 5 7 4 6 7 4 8 6 3 6 5 4
## [4633] 6 2 3 4 4 10 7 4 3 3 5 4 3 4 5 5 8 7 5 8 6 3 5 4
## [4657] 5 3 2 5 4 5 0 5 3 4 8 2 6 16 3 5 7 6 3 6 11 3 3 6
## [4681] 5 6 1 5 2 4 6 4 3 3 6 5 8 5 6 6 7 7 5 7 4 2 6 3
## [4705] 4 6 3 1 5 3 3 5 7 5 2 1 8 5 7 4 6 2 5 6 8 6 7 3
## [4729] 6 5 5 5 6 12 5 4 5 4 8 8 6 4 6 4 4 5 10 6 4 4 6 5
## [4753] 1 4 4 1 7 6 4 1 3 5 2 7 5 8 2 7 1 4 5 7 4 4 5 7
## [4777] 5 3 4 1 5 3 5 5 6 4 4 8 4 5 5 4 8 3 6 5 8 9 2 3
## [4801] 10 2 2 2 4 4 6 5 9 5 8 6 7 3 9 8 4 2 8 4 7 5 10 3
## [4825] 6 7 4 3 7 9 4 2 4 5 2 4 9 2 7 4 10 5 4 2 4 8 5 5
## [4849] 5 4 3 5 8 6 6 3 5 5 3 8 12 4 11 5 7 3 2 2 4 4 4 7
## [4873] 6 5 5 6 6 3 3 4 7 4 3 3 5 8 7 3 3 3 5 3 5 6 5 3
## [4897] 9 5 7 3 5 8 5 7 3 5 10 1 2 5 6 7 7 3 2 3 3 2 6 3
## [4921] 7 2 4 3 3 6 6 9 0 2 6 4 5 8 7 1 5 3 5 5 5 7 5 2
## [4945] 3 6 7 2 10 4 3 5 2 8 6 3 6 6 5 6 2 4 5 7 5 4 4 5
## [4969] 2 9 5 6 7 4 5 6 3 7 3 4 6 3 7 6 7 5 7 4 5 5 3 3
## [4993] 3 3 6 7 4 6 4 7hist(solicitudes, main = "Número de solicitudes que llegan en cada hora",col = "red")
probabilidad <- mean(solicitudes < 3)
probabilidad## [1] 0.1282. Tiempos entre llegadas
El tiempo entre llegadas de solicitudes sigue una distribución Exponencial con media 12 minutos.
A. Genere 5000 tiempos entre llegadas.
B. Represente el histograma.
media <- 12
rate1<- 1/media
tiempoLlegada<- rexp(5000, rate1)
tiempoLlegada## [1] 3.487202e+01 1.109338e+01 1.859063e+00 1.779381e+01 2.532848e+01
## [6] 1.442822e+01 1.034060e+01 2.860528e+00 1.103285e+01 1.715239e+01
## [11] 1.516954e+01 1.220357e+00 5.584947e-01 2.344045e+01 1.202415e-01
## [16] 4.521710e+00 1.967751e+01 1.261861e+01 5.923151e+00 1.645486e+01
## [21] 1.790791e+00 1.801588e+01 1.517221e+01 1.443282e+01 1.773883e+01
## [26] 2.036410e+00 1.569333e+01 5.943975e+00 1.976324e+00 1.352286e+01
## [31] 6.354907e+00 9.255050e+00 1.827236e+01 4.650816e+00 2.740813e+00
## [36] 2.568893e+01 2.480103e+01 6.103349e+00 3.089976e+01 5.067885e+00
## [41] 6.051827e+00 2.387850e+01 4.447528e+00 1.537110e+01 2.200790e+01
## [46] 5.135806e+01 2.857050e+01 9.782248e+00 3.891161e+01 6.393117e+00
## [51] 8.146869e+00 5.033737e+00 1.304306e+01 7.256156e+00 6.439695e+00
## [56] 4.668586e+00 9.337213e+00 4.473129e+00 6.421951e+00 2.845138e+00
## [61] 3.551205e+01 2.666127e+01 1.827750e+01 2.509687e+00 2.867976e+00
## [66] 5.042996e+01 3.255578e+01 8.984704e+00 1.318855e+01 1.200978e+01
## [71] 9.347242e+00 1.109444e+01 1.124957e+01 3.626567e+01 2.484941e+01
## [76] 3.231321e+01 6.240602e-01 1.205749e+00 1.230858e+01 6.027678e+00
## [81] 1.807249e+01 4.688978e+00 2.102899e+01 1.426272e+01 9.880418e+00
## [86] 1.282086e+01 5.013593e+01 9.408370e+00 1.759374e+01 9.866871e+00
## [91] 1.320072e+00 2.203726e+01 7.403400e+00 4.096415e+01 1.057772e+00
## [96] 1.128175e+00 4.946445e+00 1.848256e+01 3.423065e+01 4.502205e-02
## [101] 8.414143e+00 1.125139e+00 1.209048e+01 4.702390e-01 5.411033e+01
## [106] 1.132791e+01 1.277348e+01 5.074036e-01 1.335436e+01 6.694121e+00
## [111] 3.796651e+00 2.337728e+00 1.448310e+01 2.171419e+00 1.294310e+00
## [116] 5.016978e+00 2.728117e+01 5.957216e-01 2.163628e+01 3.465630e+00
## [121] 4.219454e+00 7.506428e+00 1.049772e+01 2.947607e+00 5.259076e+00
## [126] 2.528161e+01 9.034944e-01 1.077110e+00 2.524049e+01 1.140170e+00
## [131] 3.372750e+00 8.205943e+00 4.644446e+01 5.406386e+00 7.541295e+00
## [136] 7.483115e+00 8.951998e+00 9.258044e+00 4.970666e+00 1.881245e+01
## [141] 4.018198e+01 2.285518e+01 3.670058e+00 2.754941e+00 2.149624e+00
## [146] 1.165092e+01 2.352268e+01 3.393507e-01 1.602451e+01 2.126939e+00
## [151] 1.173200e+01 1.797704e+01 5.313936e-01 1.063152e+01 1.384041e+00
## [156] 2.522944e+01 7.511257e+00 2.512371e+01 8.924256e+00 2.624657e+00
## [161] 1.591221e+01 8.728061e-01 1.368319e+01 2.580413e+01 5.999686e+00
## [166] 1.914084e+01 2.296248e+01 4.216223e+00 7.023873e+00 7.460862e+00
## [171] 2.615237e+01 1.414690e+01 2.688281e+01 1.167463e+01 1.612555e+01
## [176] 5.595247e+00 1.579780e+00 2.276118e+00 4.223696e+00 2.026186e-01
## [181] 8.487953e+00 1.502660e+01 1.160196e+01 1.195823e+01 2.327961e+01
## [186] 1.903372e+01 6.845020e+00 1.553003e+01 1.425331e+01 2.915431e+01
## [191] 4.353576e+01 2.933205e+01 1.523463e+01 1.439740e+01 1.510185e+00
## [196] 5.133868e+01 9.552728e+00 8.430169e-01 3.505708e+00 7.447026e+00
## [201] 2.283751e+01 3.055171e+00 1.424402e+01 1.218688e+01 8.257823e-01
## [206] 1.065887e+01 2.871736e+01 9.296155e+00 2.339705e-01 2.238201e+01
## [211] 1.937466e+00 5.227287e+00 1.968326e+01 2.231461e+00 4.800626e+01
## [216] 5.982516e-01 2.480557e+01 4.693714e+00 1.201038e+00 7.694791e+00
## [221] 2.475499e+00 1.798158e+01 2.733691e+00 5.531718e-01 7.590361e-01
## [226] 7.424146e+00 8.673851e+00 1.024869e+01 1.871406e+01 2.424821e+01
## [231] 2.432955e+00 2.525343e+01 9.065813e+00 4.414393e+01 1.643236e+00
## [236] 9.688256e+00 3.426444e-01 1.170486e+00 1.767678e+01 1.135660e+01
## [241] 1.203977e+01 2.446951e+01 6.233213e+00 1.923017e+01 2.281326e+01
## [246] 3.942088e-01 6.553648e-01 4.188364e+01 2.344074e+00 7.564195e+00
## [251] 3.124048e+00 3.445846e+00 2.343196e+01 8.132701e+00 2.254801e+01
## [256] 8.998898e+00 3.535766e+01 3.995501e+01 2.429809e+00 2.323895e+01
## [261] 4.338523e+01 7.620568e+00 2.953058e+00 8.618839e+00 1.571698e+00
## [266] 4.612066e+00 2.660147e+01 4.642990e+01 1.265695e+00 3.634710e+00
## [271] 1.033718e+01 3.030874e+00 2.112203e+01 8.120010e+00 1.453536e+00
## [276] 8.379162e+00 2.952156e+00 1.335206e+01 1.601144e+01 1.090571e+01
## [281] 1.949248e+01 6.093745e+00 1.392532e+01 2.609023e+00 4.642564e+00
## [286] 1.390569e+00 3.706824e-01 1.007827e+01 2.256585e+01 9.644026e-01
## [291] 5.035035e-01 4.152218e+00 2.387868e+01 6.876744e+00 7.997040e+00
## [296] 5.054199e+00 2.888029e+01 4.577075e+00 3.819548e+00 1.208079e+01
## [301] 6.646745e+00 1.424950e+01 3.827401e+00 1.342540e+00 8.180882e+00
## [306] 4.994231e+00 7.968134e+00 6.160652e+00 3.557724e+01 1.240059e+01
## [311] 2.355304e-02 2.808394e+01 2.477017e+01 1.640731e+01 2.323469e+00
## [316] 1.171261e+01 1.433687e+01 1.247553e+00 2.788530e+00 8.146297e+00
## [321] 1.844615e+01 1.587096e+00 2.021991e+01 5.396995e+00 7.015898e+00
## [326] 7.410775e-01 1.608988e+00 1.249929e+01 4.218433e+01 9.125396e+00
## [331] 2.491154e+00 9.403013e+00 5.257525e+00 1.028612e+01 3.186754e+01
## [336] 1.260007e+01 1.777225e+01 7.573782e+00 9.737846e+00 2.715419e+01
## [341] 9.113129e+00 2.197553e+01 3.466837e+00 2.743829e-01 2.509375e+01
## [346] 2.051775e+00 2.666502e-01 2.940911e+00 4.642030e+01 3.612599e+00
## [351] 2.375758e+01 8.872793e+00 1.035206e+01 1.067309e+01 3.270044e+00
## [356] 1.396695e+01 2.522168e+01 1.851519e+01 8.595286e+00 2.495845e+01
## [361] 4.336691e+00 5.161848e+00 5.117604e+00 7.280509e+00 2.535226e+01
## [366] 1.646848e+01 1.122492e+01 8.448312e+00 2.659802e+01 1.846753e+00
## [371] 1.514972e+01 3.630759e+00 1.227426e+01 1.968892e+01 3.129256e+01
## [376] 3.792613e+01 9.079010e+00 2.272029e+00 6.451823e+00 3.552212e+01
## [381] 6.521200e+00 3.225910e+00 1.095193e+01 4.026731e+00 4.214377e+01
## [386] 1.106400e+00 5.446776e+01 2.148307e+01 2.428526e+00 9.145466e+00
## [391] 8.874674e+00 6.386879e+00 3.234728e+00 3.199342e+01 1.025593e-02
## [396] 1.551110e+01 2.088009e+00 5.487565e+00 1.920812e+01 1.069505e+01
## [401] 6.113780e-01 1.797002e+01 2.946014e+01 7.918214e+00 1.054654e+01
## [406] 1.366820e+01 1.376193e+01 1.413677e+01 1.671445e+00 1.055914e+00
## [411] 2.028457e+01 7.534395e+00 1.809694e+01 5.619443e+00 6.105395e+00
## [416] 1.255536e+00 2.122276e+00 5.151438e+00 5.299334e+00 7.558817e+00
## [421] 8.027241e+00 1.429979e+01 8.540604e+00 1.204853e+01 1.922049e+01
## [426] 5.522390e+00 2.518177e+01 8.633071e-01 1.295759e-01 2.131622e+01
## [431] 1.120133e+01 2.293378e+00 8.214527e+00 4.124834e+00 6.355948e+00
## [436] 6.764337e+00 2.267864e+01 5.225331e+00 1.134497e+00 7.480244e+00
## [441] 1.170268e+01 3.426230e+00 8.682643e+00 8.917248e+00 7.655763e+01
## [446] 3.519480e+01 2.270194e-01 1.823389e+00 2.142494e+01 5.910157e+00
## [451] 6.417081e-01 5.509755e+00 2.813722e+00 7.506258e+00 7.602295e-01
## [456] 7.352192e+00 2.092101e+01 4.288871e+01 1.000737e+01 1.257975e+01
## [461] 1.182252e+01 6.315980e+00 5.718721e+00 1.857332e+01 7.171145e+00
## [466] 5.369366e-01 1.138987e+01 7.874735e+00 1.548285e+01 4.316637e+00
## [471] 3.042057e+01 3.258107e+00 1.575797e+00 1.438889e+00 5.638853e+00
## [476] 3.946963e+01 3.136336e+01 2.954212e+01 8.938985e-01 6.421315e-01
## [481] 2.612806e+01 4.047077e+00 5.934093e+00 1.393006e+01 2.345000e+01
## [486] 9.908892e+00 2.019001e+01 3.176662e-01 5.777023e+00 3.040648e+01
## [491] 1.246709e+01 4.721839e-02 1.198180e+01 2.239130e+00 9.171944e+00
## [496] 2.982443e+01 3.647423e-01 8.843955e+00 2.599331e+00 2.652013e+01
## [501] 1.274840e+00 1.066300e+00 1.896511e-01 1.116860e+01 1.001678e+01
## [506] 5.830762e-01 5.388135e+00 3.174995e+00 4.309204e+00 3.546760e+01
## [511] 8.496038e-01 5.595799e+00 1.526512e+00 1.511343e+01 3.128101e+01
## [516] 9.598382e+00 8.792848e+00 9.209846e+00 2.152791e-01 1.075376e+01
## [521] 1.055418e+01 7.542153e+00 3.003497e+01 3.891910e-01 1.353541e+01
## [526] 8.881551e+00 1.188056e+01 3.552691e+01 1.334812e+00 2.751005e+00
## [531] 3.556522e+01 1.548954e+01 6.329145e+00 4.352469e+00 8.975505e-02
## [536] 7.310466e-01 4.186873e-01 2.915822e+01 8.877070e+00 9.778171e+00
## [541] 1.487591e+01 6.587704e-01 2.525852e+00 9.065010e+00 6.465834e+00
## [546] 1.763551e+01 4.133724e+00 2.165566e+01 1.200736e+00 1.615776e+01
## [551] 6.473280e+00 4.696559e+00 9.839436e-01 9.355283e+00 1.426107e+01
## [556] 3.033876e+00 8.011628e+00 8.557073e+00 3.232205e+01 1.482501e+01
## [561] 4.201497e+00 2.307104e+01 1.176556e+01 1.318795e+00 4.801831e+00
## [566] 1.082406e+01 4.480100e+01 8.021687e+00 2.336343e+00 1.787160e+01
## [571] 1.766123e+01 6.216215e+00 4.874443e+00 4.413204e+00 1.642468e+00
## [576] 3.317866e+00 4.556093e+00 4.187094e+00 2.997212e+00 1.830162e+00
## [581] 2.842123e+01 3.919924e+01 2.377904e+01 2.984358e+01 1.235870e+01
## [586] 7.331165e+00 2.145149e+00 2.723773e+01 3.686760e+00 4.340930e+00
## [591] 4.364922e+01 9.172596e+00 2.187938e+01 1.774152e+01 3.807680e+00
## [596] 9.255061e+00 1.320455e+01 5.290204e+00 4.135984e+00 1.143876e+01
## [601] 2.551394e+01 1.005315e+01 7.463565e+00 8.221450e+00 2.123754e+01
## [606] 1.394215e+00 4.589022e+00 2.596978e+00 3.363815e+00 1.527942e+01
## [611] 7.512766e+00 7.581493e+00 2.326274e+01 3.444302e+01 7.811666e+00
## [616] 2.257416e+00 2.133671e+00 6.296867e+00 3.060812e+01 9.209851e-01
## [621] 1.404812e+01 2.787575e+01 2.932049e+00 8.426317e+00 1.937593e+00
## [626] 1.983489e+01 1.029264e+01 9.951262e+00 8.580434e+00 3.945194e+00
## [631] 3.791465e+00 1.265129e+01 6.872738e-01 4.037049e+00 2.089588e+01
## [636] 7.324985e+00 3.053846e+01 4.012528e-01 3.375356e+00 5.678725e+00
## [641] 5.910222e+00 2.315550e+01 4.576669e+00 2.066052e+00 1.341902e+01
## [646] 2.346679e+01 3.183131e+01 1.909080e+01 3.201502e+00 8.265367e+00
## [651] 1.744079e+01 2.068375e+01 2.260103e-01 6.514109e+00 6.158155e+00
## [656] 8.592143e+01 3.243407e+01 6.270181e+00 4.245922e-01 5.045130e+00
## [661] 6.743336e+01 3.059607e+00 3.478605e+00 2.317971e+00 2.236695e+01
## [666] 3.080490e+00 1.103744e+01 4.881055e+00 5.536871e+00 1.960193e+01
## [671] 3.624017e+00 1.245733e+01 6.953820e+00 8.195716e+00 2.485266e+01
## [676] 3.868474e+00 9.291504e-01 7.186698e+00 4.615505e+01 2.050240e+01
## [681] 1.014506e+00 2.613416e+01 2.591786e+01 1.386727e+01 1.606442e+01
## [686] 7.848332e-01 2.750378e+01 3.638933e+01 7.007162e+00 9.325583e+00
## [691] 1.458461e+01 1.098317e+01 3.264016e-01 4.080594e+00 6.199824e+00
## [696] 1.185702e+01 6.039746e-01 1.954697e+01 1.576804e-01 2.369821e+01
## [701] 1.170024e+01 1.336867e+01 8.036293e+00 3.206043e+01 3.253537e+00
## [706] 5.967018e+00 1.998211e+01 8.165441e+00 3.366386e+00 3.366214e+00
## [711] 1.962764e+01 2.549179e+00 9.189639e+00 5.699744e+00 7.187740e+00
## [716] 1.206211e+01 2.449382e+01 1.533709e+01 3.001914e+00 1.781102e+01
## [721] 6.583139e+00 3.822228e+00 2.699214e+01 2.830302e+00 5.840477e-01
## [726] 1.335260e+01 7.258295e+00 5.458732e+00 8.460050e+00 5.900663e+00
## [731] 1.396582e+00 7.302009e+00 6.479831e+00 1.336151e+01 4.822539e+00
## [736] 3.795074e+00 7.197717e+00 1.396836e+01 2.240480e+00 2.439394e+00
## [741] 3.347007e+00 7.955422e+00 3.017561e+00 6.100735e+00 1.849933e+00
## [746] 3.677692e+00 3.588483e+00 1.258677e+00 1.685425e+01 5.330257e+00
## [751] 1.195396e+01 5.480692e+01 1.081721e+01 2.204756e+01 1.458431e+01
## [756] 5.209051e+00 9.228126e+00 4.380917e+00 8.633320e+01 1.670297e+01
## [761] 7.994817e+00 9.274026e+00 6.215317e-01 1.308431e+01 1.432426e+00
## [766] 1.062073e+01 7.499380e+00 4.931271e+00 9.564145e+00 1.465653e+01
## [771] 2.125845e+00 2.034048e+01 3.248774e+00 1.192380e+01 7.845595e+00
## [776] 1.997398e+00 2.762180e+01 1.224526e+01 2.307936e+01 1.182062e+01
## [781] 1.572698e+01 9.228266e+00 6.336025e+00 8.046180e+00 5.009857e+00
## [786] 1.440259e+01 3.590092e+01 2.565758e+01 9.854839e+00 1.219740e-01
## [791] 7.832397e+00 4.746580e+00 1.888341e+01 1.369161e+01 9.336255e+00
## [796] 1.204611e+01 8.876747e+00 1.275746e+00 3.195034e+01 6.697313e+00
## [801] 9.748094e+00 8.716523e-01 5.670073e+01 3.775995e+00 9.576905e+00
## [806] 1.574452e+01 2.679920e-01 5.209224e+01 3.967102e+01 1.028951e+01
## [811] 1.775501e+00 7.844367e+00 1.854815e+01 1.432751e+00 1.932281e+01
## [816] 1.973278e+01 7.378570e-01 1.817598e+00 1.836849e+00 4.103119e+01
## [821] 1.948648e+01 1.425357e+00 1.555394e+01 7.418746e+00 5.625352e+00
## [826] 5.975734e+00 2.499814e+00 4.956035e+00 3.074942e+00 3.951697e+00
## [831] 1.068310e+01 1.910072e+00 4.608181e-01 1.295921e+01 4.293616e+01
## [836] 6.539874e-02 6.091049e+00 1.968841e+01 2.956106e+00 8.545459e+00
## [841] 1.298848e+01 3.931510e+01 1.225434e+01 1.900871e+00 1.191151e+00
## [846] 1.997812e+01 3.843941e+01 7.043961e+00 7.856679e+00 2.901206e+01
## [851] 2.609412e+00 7.849576e+00 5.146941e+00 4.367850e-01 2.431877e+01
## [856] 4.400592e+00 1.012625e+01 1.246921e+01 8.389881e+00 4.046204e-01
## [861] 6.534393e+00 1.519107e+01 4.360462e+01 6.937644e+00 1.283736e+01
## [866] 1.538333e+01 1.186913e+00 2.127757e+01 2.143251e+00 1.419391e+01
## [871] 4.673219e+00 1.539366e+00 1.392738e+01 2.356771e+01 9.982733e+00
## [876] 5.214072e+00 4.423390e+00 3.454883e+00 2.394805e+01 1.559647e+01
## [881] 2.269867e+01 1.459121e+01 4.817288e+01 8.498954e+00 1.090685e+01
## [886] 1.066020e+01 4.643859e+00 6.850869e-01 1.097295e+01 7.992391e-01
## [891] 1.205533e+01 2.654836e+01 1.561598e+01 1.044667e+00 7.248658e+00
## [896] 4.822797e+01 2.186148e+00 3.729044e+00 9.101011e+00 1.060386e+00
## [901] 1.362026e+01 7.556173e+00 3.251355e+01 9.597073e+00 2.436062e+01
## [906] 1.203574e+01 2.266345e+01 4.059936e+00 1.668904e+01 7.021209e+00
## [911] 4.957741e-01 2.427267e+00 1.004801e+01 1.986625e+01 1.439028e+01
## [916] 2.856178e+00 2.748810e+01 2.055733e+01 3.443351e+00 1.922852e+01
## [921] 2.080185e+01 3.359132e+00 9.259308e+00 1.787413e+00 7.192704e+00
## [926] 2.295111e+01 1.635202e+00 7.412791e+00 7.672196e+00 3.552770e+01
## [931] 2.464162e+01 2.024973e+01 1.142687e+01 2.463055e+01 1.316829e+01
## [936] 1.964647e+00 1.196845e+01 1.751985e+01 1.063612e+01 1.620083e+00
## [941] 1.288150e+01 3.198244e+01 5.353082e+00 3.564244e+01 1.022949e+01
## [946] 3.628636e+00 6.255692e+00 1.022062e+00 4.095580e-01 2.463621e+00
## [951] 6.900314e+00 8.173829e+00 1.119739e+01 1.114609e+01 4.036258e+00
## [956] 1.237518e+01 2.235903e+00 4.320594e+00 1.357069e+01 1.307080e+01
## [961] 1.364623e+01 4.254795e+00 1.056904e+01 3.350924e-01 1.259040e+01
## [966] 1.825209e+01 4.207675e-01 1.400307e+01 3.870950e+01 3.859510e+00
## [971] 1.103582e+00 9.779415e+00 1.602131e+01 5.123205e-01 1.129784e+01
## [976] 4.273106e+00 7.250651e+00 1.050228e+00 4.390226e+01 5.761816e+00
## [981] 1.925293e+00 1.151169e+01 2.367761e+00 1.612665e+00 1.432011e+01
## [986] 6.561223e+00 1.401276e+01 3.152624e+01 1.029943e+00 2.238782e+01
## [991] 4.142759e-01 1.321737e+01 6.478467e-01 2.036958e+01 1.910546e+00
## [996] 8.634666e+00 1.639477e+01 4.216066e+00 5.566134e-01 1.101633e+01
## [1001] 1.717667e+01 5.286982e+00 1.374502e+01 2.036632e+01 1.025604e+01
## [1006] 5.446274e+00 2.675787e+01 2.844030e+00 1.696457e+01 2.123469e+01
## [1011] 1.383558e+01 4.992780e+00 1.137163e+01 7.235820e-01 7.306166e+00
## [1016] 6.185251e-01 9.837713e+00 6.981440e+00 5.099391e+00 4.536185e+00
## [1021] 4.224125e+00 1.091737e+00 2.106969e+00 1.530492e+00 3.712707e+01
## [1026] 1.398789e+01 6.790013e+00 1.973533e+00 7.080470e+00 1.547701e+01
## [1031] 2.144511e+00 3.761055e+01 6.737951e+00 1.469809e+01 3.986350e+00
## [1036] 1.677052e+00 4.682462e+00 5.465031e-01 1.812498e+00 2.732736e+01
## [1041] 1.691916e+01 8.907886e+00 2.389007e+01 7.474683e+00 3.953704e+00
## [1046] 1.549100e+01 2.918085e+01 9.138774e+00 8.181652e+00 1.110541e-01
## [1051] 5.507833e+00 1.498112e-02 2.590567e+01 4.596792e+01 5.822895e+00
## [1056] 7.840740e+00 6.582951e+01 5.306670e+00 1.667530e+01 3.214649e+01
## [1061] 1.491153e+01 8.763096e+00 2.302820e+00 2.676676e+00 7.534874e+00
## [1066] 2.699112e+01 5.558348e-02 1.071689e+01 3.257612e+01 3.590437e+01
## [1071] 7.541860e+00 2.744274e+01 1.199348e+01 1.037327e+01 1.238569e+01
## [1076] 1.380949e+01 4.277164e+00 1.294232e+01 2.350640e+01 2.281231e+01
## [1081] 1.458436e+00 1.129664e+01 4.059830e+01 6.117445e+00 1.843402e+01
## [1086] 1.557463e+01 5.377681e+00 4.939374e+00 5.800041e+01 2.456385e+00
## [1091] 1.262524e+01 2.736292e+01 4.742066e+00 8.280329e+00 3.459399e+01
## [1096] 3.333906e+01 1.300543e+01 3.992522e+00 2.245094e+01 6.177004e+00
## [1101] 3.000061e+00 1.242480e+01 1.623275e+00 7.804634e+00 4.531599e+01
## [1106] 3.388759e+00 1.344368e+00 2.091831e+01 2.528366e+01 7.159374e+00
## [1111] 1.021534e+01 1.398668e+01 2.632388e-01 1.132215e+01 1.060455e+00
## [1116] 5.706958e+00 4.859709e-01 1.973149e+01 1.611247e+01 3.080607e+00
## [1121] 1.139769e+01 2.145984e+01 2.210069e+00 9.255237e-02 4.118775e+01
## [1126] 7.952928e+00 9.193176e+00 3.523665e+01 1.839191e-01 8.762874e+00
## [1131] 1.505834e+00 8.389361e+00 3.386684e+00 4.744429e+00 1.116733e+01
## [1136] 3.034660e+00 1.809347e+01 3.202696e+01 4.617984e+00 1.614733e+00
## [1141] 5.025449e+00 4.759861e+00 4.031365e+00 2.474277e+01 1.800637e+01
## [1146] 2.726977e+00 6.965947e+00 6.751155e+00 3.299508e+00 2.323538e+01
## [1151] 1.751761e-01 1.997937e+01 1.483746e+01 2.679665e+01 1.058258e+01
## [1156] 6.340814e+00 1.103139e+01 7.306848e+00 6.366190e+00 1.001012e+01
## [1161] 1.475758e+01 2.827031e-01 3.797256e+01 6.081257e-01 3.012539e+00
## [1166] 1.346747e+00 1.557458e+01 2.007595e+01 6.890874e+00 8.687080e+00
## [1171] 2.126365e+00 4.081945e+01 5.759576e+00 5.886422e+00 8.796455e-01
## [1176] 1.173122e+01 1.195571e+01 2.340655e+01 4.235123e+00 5.809733e+00
## [1181] 5.948753e+00 8.049468e+00 9.455441e+00 2.346558e+01 2.727912e+01
## [1186] 3.076943e+01 2.195035e+01 1.514010e+01 8.383032e+00 8.227995e+00
## [1191] 9.095810e-01 7.933432e-02 6.455977e+00 9.137939e+00 1.567487e+01
## [1196] 1.095405e+01 9.748052e-01 7.366967e+00 1.782919e+01 2.621353e+01
## [1201] 9.115816e+00 1.332082e+01 1.990068e+01 3.050479e+00 1.525756e+01
## [1206] 1.607608e+00 1.491302e+01 1.725042e+01 8.484667e+00 3.590776e+00
## [1211] 1.426987e+01 6.148721e+00 8.731775e+00 3.809938e+00 3.914328e+01
## [1216] 1.093990e+01 7.270117e+00 2.167308e+00 1.479010e+01 1.301006e+01
## [1221] 3.308074e+01 1.482464e+01 5.221469e+01 1.419553e+01 3.086328e+01
## [1226] 6.452822e+00 1.357459e+01 7.438068e+01 1.754980e+01 4.442893e+00
## [1231] 2.141031e+01 2.798580e+01 1.013252e+01 4.236096e+01 9.912338e+00
## [1236] 1.446881e+01 7.898040e+00 1.061332e+01 6.720004e+00 3.427363e+00
## [1241] 1.208211e+00 4.089891e+01 1.881938e+00 3.842463e+01 1.078834e+00
## [1246] 5.010301e+00 3.196533e-01 3.691255e-01 1.048603e+01 7.255362e+00
## [1251] 1.614899e+01 1.241718e-02 1.752039e+01 1.645572e+01 5.075309e+00
## [1256] 1.931192e+01 6.969769e+00 1.568919e+00 5.077873e+00 6.288930e+00
## [1261] 1.520542e+00 4.851412e+01 9.261672e+00 1.131227e+01 2.622669e+01
## [1266] 6.131405e+00 1.741053e+00 4.696765e-02 8.688599e+00 3.619144e+01
## [1271] 9.819457e+00 2.011958e+01 7.531098e+00 3.041840e+01 3.505109e+00
## [1276] 2.579144e+01 1.277807e+01 2.829367e+01 6.758107e+00 2.769594e+01
## [1281] 1.258823e+00 9.523271e-01 1.270973e+01 1.725865e+01 1.628650e+01
## [1286] 2.084137e+00 6.380595e+00 2.944608e+00 1.139151e+01 2.385722e+01
## [1291] 2.016056e-01 6.594430e-01 5.436367e-02 1.353204e+01 2.231785e-01
## [1296] 3.334752e+01 4.346926e+01 1.602297e+01 2.981573e+01 4.079557e+01
## [1301] 7.083147e+01 5.243395e+00 1.433100e+00 4.333132e+00 6.836105e+00
## [1306] 1.069637e+01 1.155741e+01 3.018677e+00 5.651309e-01 1.506080e+01
## [1311] 7.914011e+00 1.167883e+01 3.253341e+00 1.280247e+01 2.228226e+00
## [1316] 1.922763e+00 4.805625e+00 1.924559e+01 7.957073e+00 8.360311e+00
## [1321] 5.117894e+00 1.056134e+01 1.181206e+01 1.949885e+01 3.208380e+01
## [1326] 3.664575e+01 1.560198e+01 1.213767e+00 1.397719e+01 1.308905e+00
## [1331] 2.687334e+01 7.356692e+00 1.844851e+01 1.162860e+01 7.518041e+00
## [1336] 5.881036e+00 3.185757e+00 2.226053e+01 3.197254e+01 6.256762e+00
## [1341] 1.922952e+01 3.163225e+01 1.701532e+00 3.147131e+01 1.284732e+01
## [1346] 6.377036e+00 9.213677e+00 8.139084e-01 3.031424e-01 1.898019e+01
## [1351] 7.893979e+00 3.132990e+01 7.874496e+00 4.647377e+01 6.096740e+00
## [1356] 6.720400e+00 9.130013e+00 1.727965e+01 1.641872e+01 1.755599e+01
## [1361] 7.644817e+01 3.734163e+00 1.841854e+01 1.292215e+01 1.954608e+00
## [1366] 2.856594e+00 1.233304e+01 7.595799e+00 5.376057e-01 1.925535e+01
## [1371] 2.802476e+01 1.666992e+01 1.168624e+01 9.179366e+00 8.474563e+00
## [1376] 1.206831e+01 7.220129e-02 7.977708e+00 2.747928e+00 1.927210e+01
## [1381] 8.992506e+00 1.216708e+01 2.880225e+01 1.044282e+01 4.120364e-01
## [1386] 2.568091e+00 1.942735e+01 2.666132e+00 9.125487e+00 6.311005e+00
## [1391] 5.194616e+00 8.786172e+00 5.792632e+00 1.474306e+01 1.450667e+01
## [1396] 8.356988e+00 3.377859e+00 4.467094e+00 1.647889e+00 3.158392e+00
## [1401] 3.859358e+00 1.278974e+01 7.912832e+00 9.921316e+00 2.379363e+01
## [1406] 5.591521e+00 5.178559e+00 1.717516e+01 9.321741e+00 3.453001e+00
## [1411] 5.241689e+00 1.073069e+01 1.802099e+01 9.923874e+00 6.343764e+00
## [1416] 1.279247e+00 9.166364e+00 3.154773e+01 2.201528e+01 4.311570e+00
## [1421] 2.802797e+00 1.561836e+01 4.235776e+00 2.890739e+01 2.376921e+01
## [1426] 2.513190e+01 5.080842e+00 1.713052e+01 2.372768e+00 5.094941e+00
## [1431] 2.332455e+00 3.061567e+00 2.472279e+00 2.217528e+01 1.225888e+01
## [1436] 1.718666e+01 1.277490e+01 4.172597e+01 3.536313e+00 8.786612e+00
## [1441] 1.550869e+01 1.957260e+00 4.169825e+00 7.977049e-01 2.379090e+01
## [1446] 7.924759e+00 9.710254e+00 3.287838e+00 8.490684e+00 1.512062e+00
## [1451] 3.799333e+01 2.363178e+00 3.095444e+01 1.718400e+01 3.907550e-01
## [1456] 1.441562e+01 1.470404e+01 1.062909e+01 1.297831e+01 9.612259e+00
## [1461] 6.293828e+00 2.987649e+01 1.012215e+01 3.026124e+01 2.578066e+00
## [1466] 3.930055e+00 1.697972e+01 7.579977e+00 1.478069e+00 4.776494e+00
## [1471] 1.221860e+01 3.447531e+00 6.771116e+00 3.403950e+00 1.568082e+01
## [1476] 1.230800e+01 6.537208e+00 4.053172e+00 3.112504e+01 1.844247e+01
## [1481] 2.039314e+00 7.977768e+00 1.284494e+01 3.738202e+01 3.371454e+00
## [1486] 9.907053e+00 6.336524e+00 4.499223e+00 5.588449e+00 4.417711e+00
## [1491] 4.810870e+00 6.481164e+00 1.106581e+01 2.367580e+00 4.661267e+00
## [1496] 6.853559e+00 9.802451e-01 5.061461e+00 5.162383e+01 1.510720e+01
## [1501] 2.817460e+00 2.534890e-01 6.756885e+00 2.110864e+01 3.786958e+00
## [1506] 1.246597e+01 2.012380e+01 1.466642e+00 1.277645e+00 1.085653e+01
## [1511] 1.163546e+01 1.150345e+01 7.183429e+00 2.898788e+01 1.080647e+00
## [1516] 1.213624e+01 1.782075e+01 1.770933e+01 3.167583e+00 1.316266e+01
## [1521] 1.884081e+01 1.674194e+01 6.675211e+00 5.055141e+00 2.118150e+01
## [1526] 9.566035e+00 1.069712e+01 5.294750e+00 9.962571e+00 5.837192e+00
## [1531] 6.601703e-01 2.828989e+00 4.137369e+00 2.632448e+00 1.002992e+01
## [1536] 3.185693e+00 2.094367e+01 2.527214e+01 1.064761e+01 2.612677e+01
## [1541] 1.024318e+00 3.773049e+00 7.686697e+00 5.252407e+01 9.336678e+00
## [1546] 3.219746e+00 5.141881e+00 1.563596e+01 1.859628e+00 9.354510e+00
## [1551] 1.692680e+00 5.074527e+00 1.170206e+01 1.539077e+01 5.370452e+00
## [1556] 3.167752e+00 3.823899e+00 1.247347e+01 4.262011e+01 5.592430e-01
## [1561] 1.801636e+00 5.621618e+00 1.866189e+01 7.809603e+00 1.421789e+01
## [1566] 3.863194e+00 5.288346e+00 4.711287e+00 3.439982e+01 1.618771e+01
## [1571] 3.786836e+00 4.773082e+00 5.970017e+01 3.727536e+00 1.995445e+01
## [1576] 2.569809e+01 1.416540e+01 8.510223e+00 3.776759e+00 1.602276e-01
## [1581] 1.036436e+01 5.878035e+00 3.122361e+00 2.380767e+00 1.077334e+01
## [1586] 6.178671e+00 2.027026e+00 1.193717e+00 8.070832e+00 2.136662e-01
## [1591] 6.502846e+00 2.390679e+01 4.235908e+00 1.581374e+00 4.345390e+00
## [1596] 4.692786e+01 8.001983e+00 4.355503e+00 8.504317e+00 6.376286e-02
## [1601] 7.926733e+00 5.172558e+00 1.121982e+01 7.954299e-01 1.085102e+01
## [1606] 6.791553e+01 3.406620e+00 3.019138e+01 1.120236e+00 5.737375e+00
## [1611] 1.001701e+01 6.019023e+00 8.705041e+00 2.238856e+01 1.062254e+01
## [1616] 9.846834e+00 7.095022e+00 7.628113e+00 1.551402e+01 3.406469e+00
## [1621] 6.055760e+00 3.293034e+01 1.978764e+01 2.721430e+01 5.103628e+00
## [1626] 4.664543e+00 3.635823e+01 1.694409e+01 2.176527e+01 1.298638e+00
## [1631] 1.110110e+01 8.085161e+01 3.148216e+01 8.716675e+00 1.574512e+01
## [1636] 8.937035e+00 1.416781e+00 5.892366e+00 2.760021e+00 2.653499e+01
## [1641] 5.597398e+00 1.989274e+01 1.218201e+01 9.065119e-01 1.082432e+01
## [1646] 7.018489e+00 2.302385e+01 2.521203e+00 6.785480e+00 8.165461e+00
## [1651] 2.427585e+00 1.331735e+01 3.829636e+01 7.744954e+00 4.342619e+01
## [1656] 1.214943e+01 1.270908e+01 3.177133e+00 4.214092e+01 3.582951e+00
## [1661] 3.647302e+01 1.867402e+00 1.338253e+01 2.980178e+00 2.232022e+00
## [1666] 1.959773e+00 2.750652e+01 1.317303e+01 1.457008e+01 4.854786e+00
## [1671] 1.040007e+00 1.536110e+01 1.634347e+01 1.111918e+01 3.652229e+01
## [1676] 4.664986e+00 3.333509e+00 2.526147e+01 1.297272e+00 2.780103e+01
## [1681] 6.857899e+00 7.048114e+00 3.864999e+00 1.826567e+01 3.619401e+01
## [1686] 2.151094e+01 3.311997e+00 8.313524e+00 7.897744e+01 2.901794e+00
## [1691] 8.795774e+00 2.297533e+01 1.045688e+01 6.490919e+00 1.611662e+00
## [1696] 1.096663e+01 3.047123e+01 9.220662e+00 2.029492e-01 2.913706e+01
## [1701] 1.455504e+01 8.463102e-01 3.170468e-01 1.418688e+01 3.310338e+01
## [1706] 2.608614e+01 8.557307e+00 5.052546e+00 9.005806e+00 5.349519e+00
## [1711] 7.775773e+00 4.084452e+00 4.334852e+01 1.582996e+01 1.513649e+01
## [1716] 2.084578e+01 4.085337e+01 1.826879e+01 9.666291e+00 7.559683e+00
## [1721] 1.401835e+00 1.523956e+01 2.748746e+01 4.787576e+01 6.404846e-02
## [1726] 2.144265e+01 1.623016e+01 4.813175e+00 1.240890e+01 1.439502e+00
## [1731] 2.317680e+00 2.189273e+01 2.127279e+01 8.702862e-01 2.142385e+00
## [1736] 2.043134e+01 5.384050e+00 6.701924e+00 6.889672e+00 5.088554e+00
## [1741] 2.482260e+00 1.150062e+01 1.107805e+01 1.858775e+01 4.236610e+00
## [1746] 1.504717e+00 7.913385e+00 6.684740e+00 5.398617e-02 5.140340e+00
## [1751] 2.419401e+01 3.319172e-01 2.383654e+00 5.943297e-01 6.148044e-01
## [1756] 2.426039e+01 1.500433e+01 5.182628e+01 4.703045e+00 3.468140e+01
## [1761] 2.214485e+01 7.629453e-01 7.123830e+01 1.491541e+00 7.233151e+00
## [1766] 1.964950e+00 4.644901e+00 4.043751e+00 1.416338e+01 5.587997e+00
## [1771] 8.010948e+00 2.412447e+01 3.334834e+01 1.417954e+01 2.444674e+00
## [1776] 1.249857e+01 7.901559e+00 2.805337e+00 2.558160e+01 5.437685e+00
## [1781] 4.537268e+00 2.206501e+00 3.336697e+00 9.030399e+00 7.757420e+00
## [1786] 1.350620e+01 1.868578e+00 3.527209e+00 2.699240e+01 3.077032e+00
## [1791] 1.357132e+01 2.393751e+01 3.318646e+00 6.126500e+00 2.743556e+00
## [1796] 1.947918e+01 8.358279e+00 1.289253e+01 4.176623e-01 3.573152e+00
## [1801] 4.607011e+00 8.235508e-02 2.186929e+01 2.157711e+01 7.442577e+00
## [1806] 1.123610e+01 8.722368e+00 3.218981e+00 2.548540e+00 8.568786e+00
## [1811] 1.682393e+01 1.060129e+01 1.728473e+01 4.861444e+00 3.231746e+01
## [1816] 6.436663e+00 4.804279e-01 1.479746e+01 2.922661e-02 1.975116e+01
## [1821] 3.852878e+00 6.996024e+00 1.061027e+01 1.878346e+00 2.997880e+00
## [1826] 3.885310e+00 6.897742e-01 6.801680e+00 7.682966e+00 9.313044e+00
## [1831] 1.187087e+01 1.582145e+00 1.600504e+01 4.249646e+01 1.340204e+00
## [1836] 8.986798e+00 1.186586e+01 1.464520e+01 9.323908e+00 3.071028e+01
## [1841] 1.073963e+01 5.608695e-01 8.691618e+01 6.577789e+00 7.003136e+00
## [1846] 2.768806e+01 1.790773e+01 1.035732e+01 3.105067e+00 2.462810e+00
## [1851] 1.467935e+01 2.613161e+01 6.403568e+00 2.325697e-01 6.690137e+00
## [1856] 5.665173e+00 1.319180e+01 3.882500e+00 3.175079e+01 2.906644e+01
## [1861] 8.691212e+00 3.875428e-01 4.936123e+00 1.980386e+01 4.607820e+00
## [1866] 2.794068e+01 1.370227e+01 2.251108e+00 1.902983e+00 1.084375e+01
## [1871] 4.127791e+00 1.114000e+01 5.001698e-01 5.320003e+00 5.412964e+01
## [1876] 6.506264e+00 6.575839e+00 1.847048e+01 2.811055e+00 5.661394e-02
## [1881] 2.278676e-02 2.169132e+01 3.533336e+00 1.553859e+01 2.245909e+00
## [1886] 4.129492e+00 9.688800e+00 2.705894e+01 1.169317e+01 1.741594e+01
## [1891] 6.389982e+00 9.951818e+00 7.736678e+00 2.540791e+01 1.309867e+01
## [1896] 2.874791e+01 1.440146e+01 1.722820e+00 6.941227e+00 4.651502e-02
## [1901] 2.072220e-01 1.061827e+00 7.826573e+00 5.441664e+00 1.168932e+01
## [1906] 5.411447e+00 1.299332e+00 1.723741e+00 5.112571e+00 1.757074e+01
## [1911] 1.546532e+01 4.043873e+00 2.852454e+01 4.794831e+00 7.496499e+00
## [1916] 2.115588e+01 2.266720e+01 7.504598e+00 6.391525e+00 8.888942e+00
## [1921] 1.011185e+01 4.615360e+00 2.571886e+00 1.763986e+00 1.028643e+01
## [1926] 1.097630e+00 3.889120e+01 4.784898e+01 5.549102e+00 2.553317e+01
## [1931] 4.381368e+00 1.631775e+01 1.663810e+00 1.295892e+01 1.361896e+01
## [1936] 7.697857e+00 2.108515e+01 1.041559e+01 8.611804e+00 3.778380e+01
## [1941] 7.019447e-01 1.289348e+01 2.002935e+01 2.984126e+01 1.415822e+01
## [1946] 3.063739e+01 7.472406e+00 4.172471e+00 1.609218e+00 1.588691e+01
## [1951] 4.292436e+00 9.166655e+00 9.052507e+00 1.697380e+01 1.015152e+01
## [1956] 1.612833e+01 9.582049e+00 5.789643e+00 7.546109e+01 1.886080e+00
## [1961] 1.077204e+01 5.613322e+00 1.816879e+00 1.027558e+01 5.000247e+00
## [1966] 2.448606e+00 1.140315e+01 1.615865e+01 2.638633e-01 9.184474e+01
## [1971] 8.009017e+00 2.204437e+01 8.580232e+00 5.953406e+00 2.839303e+00
## [1976] 3.698488e+00 7.049332e+00 5.939197e+01 3.900574e+01 1.615657e+01
## [1981] 2.258442e+01 2.850709e+01 3.032030e+01 8.397125e+00 1.678864e+01
## [1986] 1.022513e+00 7.681073e+00 3.770001e+00 2.290017e+01 5.716401e+00
## [1991] 5.972416e-01 3.823668e+00 2.685436e+01 2.459414e+00 1.756769e+01
## [1996] 1.619345e+01 6.734336e+00 5.113829e+00 1.147391e+01 1.952744e+01
## [2001] 2.482989e+01 2.346423e+01 1.367407e+01 4.869222e+00 2.268509e-01
## [2006] 8.879038e+00 7.886642e+00 6.987099e+00 4.856480e-01 7.221976e+00
## [2011] 1.032356e+01 7.025499e+00 3.263566e-02 7.878190e+00 9.714071e+00
## [2016] 1.306499e+01 2.125994e+01 3.209655e+00 1.884477e+00 2.272411e+01
## [2021] 1.353010e+00 3.068092e+00 1.069473e+01 1.207241e+01 1.312611e+01
## [2026] 2.579946e+00 3.830858e+00 1.750248e+01 4.511046e+00 1.247478e+00
## [2031] 2.493942e+00 4.267838e+00 6.370386e-01 4.307262e+01 4.283294e+01
## [2036] 1.777535e+01 2.076536e+01 9.477178e+00 1.853050e+01 1.303558e+01
## [2041] 8.763775e+00 9.754901e-01 1.623329e+01 5.368981e+01 1.368267e+01
## [2046] 6.620481e+00 1.106240e+01 7.443090e+00 2.583414e+01 6.236495e-01
## [2051] 1.493544e+01 5.097774e+00 1.745672e+01 9.534039e+00 1.743966e+01
## [2056] 1.922617e+00 8.704284e+00 1.889253e+01 1.107644e+01 1.402247e+01
## [2061] 1.386180e+01 9.047740e+00 8.785031e+00 5.760013e+00 2.610707e+00
## [2066] 1.212237e+01 4.390243e+00 1.177715e+01 6.531800e+00 1.322099e+01
## [2071] 7.903591e+00 1.905668e+01 1.108726e+01 5.514118e+00 1.618297e+01
## [2076] 3.917075e+00 4.726977e+00 2.126896e+01 1.024462e+01 3.025107e+01
## [2081] 1.857331e+00 2.047543e+01 2.348301e-01 4.530955e+00 4.378307e+01
## [2086] 9.757449e+00 2.004774e+01 2.555413e+01 1.563963e+00 1.500167e+00
## [2091] 1.622752e+01 5.567390e+01 4.344889e+00 1.020850e+01 1.836876e+01
## [2096] 1.039367e+01 6.755075e-02 1.879569e+01 4.647802e+01 2.933343e+00
## [2101] 7.331307e+00 2.572711e+01 4.016626e+01 3.069793e+00 2.632685e+00
## [2106] 3.092876e+01 4.635771e+01 2.613084e+00 1.383203e+01 1.304753e+00
## [2111] 1.500180e+01 5.587372e+00 1.711577e+00 9.833598e-01 4.244480e+01
## [2116] 1.825428e+01 2.415790e+01 3.167775e+00 1.391690e+00 3.586770e+01
## [2121] 2.448097e+01 1.412251e+01 4.961000e+01 5.881507e+00 1.946461e+01
## [2126] 1.864956e+00 1.904778e+01 1.196105e+01 3.117368e+01 3.325422e+01
## [2131] 3.810209e+00 1.904362e+01 1.383429e+00 1.838421e+01 3.365371e+01
## [2136] 1.703312e+00 7.036768e+00 1.795795e+00 3.790664e+00 9.078829e+00
## [2141] 1.019133e+01 1.011246e+01 9.626028e-01 5.757081e+01 4.662252e+01
## [2146] 6.965536e+00 6.472326e+00 1.812680e+01 1.560031e+01 1.321227e+00
## [2151] 1.438444e+01 1.073267e-01 2.398054e+01 1.238594e+00 3.902741e+00
## [2156] 4.519690e+00 9.552628e-01 2.483093e+00 1.926466e+01 1.497603e+01
## [2161] 1.362041e+01 8.910033e+00 1.805801e+01 2.373311e+00 4.833526e+00
## [2166] 4.843354e-01 1.835882e+01 3.306530e+01 1.491258e+01 4.219362e+00
## [2171] 5.514287e-01 9.315387e-02 2.278648e+01 7.144089e+00 1.096509e+01
## [2176] 6.959668e+00 1.700426e+00 6.927923e+00 1.766945e+01 1.994486e+01
## [2181] 3.020174e+01 2.847911e+01 1.611712e+01 1.566001e+01 1.075161e+01
## [2186] 1.049751e+01 4.738322e+01 1.747273e+00 1.588253e+01 1.507053e+01
## [2191] 8.359055e+00 2.058615e+01 2.993936e+00 9.616033e+00 1.435771e+01
## [2196] 3.605407e+01 9.296564e+00 1.925156e+00 2.409694e+00 1.536282e+01
## [2201] 1.029703e+01 5.119112e+00 4.907842e+00 2.080644e+00 1.944686e+00
## [2206] 1.483918e+00 1.348812e+01 1.751716e+01 1.643064e+00 3.392028e+00
## [2211] 1.260135e+01 1.684653e+01 2.066801e+01 9.463229e+00 1.533569e+01
## [2216] 3.392887e+01 2.808103e+00 2.347945e+01 3.122482e+00 5.310356e+00
## [2221] 5.533655e+00 2.845352e+01 7.356289e+00 1.933388e+01 7.773932e+00
## [2226] 1.288408e+00 3.339121e+00 6.252952e-01 4.191174e+00 3.432970e+00
## [2231] 6.693529e+00 1.540799e+01 8.458298e+00 8.932577e-01 7.865671e+00
## [2236] 1.212610e+01 2.823038e+00 1.934568e+01 2.790018e+00 3.353019e+00
## [2241] 7.913042e+00 2.123000e+01 1.119036e+01 1.833782e+01 2.615186e+01
## [2246] 7.714967e+00 6.782903e+00 1.120683e+01 6.326738e+00 5.922628e+00
## [2251] 2.438738e+01 5.974152e+00 4.734134e+00 3.136648e+01 3.522274e+00
## [2256] 6.043949e+00 4.939821e+00 1.586257e+01 1.686108e+01 3.253146e+00
## [2261] 2.817316e+00 7.192768e+00 3.435110e+00 1.786230e+00 3.166021e+00
## [2266] 8.761210e-01 1.628856e+01 2.316531e+01 1.056213e+01 3.800730e+00
## [2271] 8.078107e+00 3.644156e+00 1.620048e+00 6.312418e+00 8.607602e+00
## [2276] 1.253330e+01 5.266851e+00 7.291416e+00 1.818217e+01 2.861418e+00
## [2281] 1.571827e+01 1.915179e+01 2.026510e+01 8.629254e+00 2.280031e+01
## [2286] 7.109104e+00 1.206825e+01 1.705701e+01 2.029152e+00 1.347402e+01
## [2291] 9.679110e+00 8.618552e-01 1.623612e+01 2.380738e+01 5.702565e+01
## [2296] 1.560190e+01 1.179783e+01 1.727245e+00 2.326259e+01 2.401136e+01
## [2301] 7.420400e+00 1.219108e+01 7.008550e+00 2.073921e+01 4.020464e+00
## [2306] 1.286300e+00 2.955497e+00 1.460330e+01 2.469872e+01 1.006327e+01
## [2311] 2.198784e+00 2.076551e+00 1.190890e+01 9.981618e+00 7.434714e+00
## [2316] 1.008595e+01 2.737027e+01 7.881651e+00 3.166527e+00 2.124171e+00
## [2321] 1.426929e+01 1.097648e+00 2.360472e-01 1.432116e+00 3.002956e+01
## [2326] 9.271446e+00 4.857484e-01 2.308014e-01 9.206465e+00 4.940558e+00
## [2331] 1.205693e+01 2.230338e+01 1.085799e+01 1.013303e+01 9.624496e+00
## [2336] 6.619854e+00 4.574201e+00 5.197007e+01 1.839725e+00 1.790600e+00
## [2341] 8.261541e+00 6.435403e+00 1.878233e+00 3.081889e+00 1.091030e+00
## [2346] 2.185065e+01 1.586181e+01 9.260454e-01 4.062178e+00 3.503940e+00
## [2351] 9.676184e+00 5.092217e+00 7.213034e-01 1.190835e+01 8.510477e+00
## [2356] 1.659737e+01 3.124001e+00 1.358856e+01 5.651588e-01 1.791303e+01
## [2361] 1.122730e+01 1.440224e+01 1.094503e+01 2.135708e+00 3.716022e+00
## [2366] 9.192906e+00 8.046276e-01 5.242514e-01 2.382203e+00 1.351474e+00
## [2371] 4.442998e-01 1.066582e+01 1.835896e+01 1.774079e+01 5.689993e+00
## [2376] 8.937253e-01 5.467173e+00 2.416965e+01 1.087685e+01 4.559360e+00
## [2381] 2.129964e+01 2.063841e+01 4.440297e+00 5.181625e+00 1.031307e+01
## [2386] 1.531763e+01 5.921223e+00 4.525222e+00 4.884355e+00 2.954232e+01
## [2391] 3.393657e+00 2.084937e+01 1.823954e+01 8.890251e+00 1.954622e+01
## [2396] 8.751640e+00 1.520119e+01 5.709192e+00 9.674410e-01 3.093252e+00
## [2401] 3.576745e+00 2.331505e+00 1.094966e+01 1.277320e+01 1.718486e+01
## [2406] 4.209391e+00 1.321742e+01 1.267042e+01 2.104697e+00 6.093659e-01
## [2411] 8.842089e-01 3.862585e+00 1.433221e+01 2.783734e+01 1.291310e+00
## [2416] 9.006316e+00 2.101943e+01 5.221852e+01 2.071438e+00 2.170339e+00
## [2421] 6.466531e+00 1.504011e+01 1.723820e+01 2.674942e+01 2.249286e+00
## [2426] 4.792682e+00 1.497852e+01 9.579797e+00 6.311983e-03 1.773482e-01
## [2431] 3.640338e+00 4.624138e+00 1.455837e+01 1.100344e+01 2.425430e+01
## [2436] 1.183287e+01 5.496596e+01 2.198603e+00 5.291954e+00 8.606528e-02
## [2441] 1.477576e+01 8.531696e+00 8.654953e+00 4.827603e+00 3.093079e+00
## [2446] 4.191118e+00 7.307690e+00 3.063281e+01 4.124807e+00 5.219963e+01
## [2451] 1.146478e+01 6.790013e+00 3.421510e+01 1.065643e+00 1.948248e+01
## [2456] 1.854953e+01 5.245499e+00 1.268037e+00 1.390434e+00 2.620394e+01
## [2461] 9.801999e-01 8.381793e-01 1.561059e+01 1.917936e+01 1.067829e+01
## [2466] 5.307105e+00 2.523069e+00 4.494126e-01 3.105953e+01 1.586279e+01
## [2471] 8.650191e+00 9.036957e+00 4.205589e-01 3.247351e+00 8.872810e+00
## [2476] 6.419336e+00 6.765753e+00 6.307830e-01 5.772772e-01 9.374999e+00
## [2481] 1.563079e+00 1.940705e+01 2.861528e+00 4.697571e+01 1.060848e-01
## [2486] 1.890524e+01 1.626626e+01 9.507511e+00 1.372325e+00 8.775215e+00
## [2491] 1.903120e+01 2.977948e+01 1.701889e+01 3.672028e+01 3.076372e+00
## [2496] 6.612717e+00 2.807445e+01 1.812839e+01 1.214743e+01 5.204762e+01
## [2501] 3.673519e+00 2.988585e+01 5.823279e+00 4.811677e+00 6.474005e+00
## [2506] 5.763750e+00 4.166672e+00 6.155471e+00 6.225772e+00 1.489048e+01
## [2511] 3.155082e+01 2.638520e+00 3.310202e+00 7.140866e+00 7.866358e+00
## [2516] 3.954942e+00 1.984044e+01 6.237953e-01 6.936785e+00 1.027221e+01
## [2521] 1.113002e+01 4.460781e+00 1.796879e+01 2.214268e+00 1.567934e-01
## [2526] 3.710624e+00 1.912358e+01 6.742963e+00 2.426246e+01 6.199155e+00
## [2531] 1.975429e+01 8.408258e+00 4.236576e+01 1.270852e+01 6.703286e+00
## [2536] 1.040296e+01 1.591942e+01 1.588688e+01 7.932238e+00 1.529112e+01
## [2541] 1.034529e+00 1.135584e+01 8.115756e+00 9.250044e+00 3.503884e+01
## [2546] 9.570333e+00 4.108795e+00 4.395503e+00 1.927292e+00 3.534386e+00
## [2551] 1.015586e+01 3.327142e+01 8.449563e+00 3.004294e+01 2.787769e-02
## [2556] 3.683945e+00 2.764117e+01 2.267234e+00 6.621252e+00 2.117294e+01
## [2561] 8.335214e+00 5.157775e+01 2.356506e+01 1.224665e+01 6.562957e-02
## [2566] 1.017486e+01 4.616205e+01 7.456459e+01 2.389319e+00 8.577521e+00
## [2571] 7.362085e+00 1.178146e+01 1.613059e+01 3.460812e+00 6.569103e+00
## [2576] 3.166483e+01 4.972758e+00 2.324895e+01 1.603686e+01 1.434752e+00
## [2581] 4.392664e+01 5.558376e+00 1.117256e+01 2.204893e+00 2.673122e+01
## [2586] 2.876984e+01 1.213716e+01 2.617377e+00 1.532409e+00 3.474342e+00
## [2591] 1.106033e+01 8.018678e+00 1.897873e+01 1.783138e+01 2.703936e+00
## [2596] 1.275089e+01 5.862427e+00 2.141208e+00 3.855938e+00 2.088034e+01
## [2601] 1.913742e+01 3.303338e+00 3.351658e+01 8.870058e+00 1.960396e+01
## [2606] 1.590110e+00 2.422263e+00 6.764435e+00 1.690267e+00 8.100716e-02
## [2611] 8.330160e+00 1.039526e+01 1.220187e+01 1.079478e+01 2.745878e+01
## [2616] 9.060546e+00 9.992419e+00 1.480719e+01 1.088288e+01 3.608531e+01
## [2621] 3.058169e+01 8.075632e+00 1.944532e+00 1.395280e+00 1.397152e+01
## [2626] 1.697501e+01 1.867565e+00 1.169571e+01 6.222643e+01 1.900952e+01
## [2631] 2.174791e+01 4.481389e+00 2.116098e+00 3.658703e+00 2.119199e+01
## [2636] 1.187202e+01 1.107886e+01 3.600659e+01 1.718750e+00 4.758026e+01
## [2641] 1.406924e+01 5.883077e+00 4.344319e+00 1.609882e+01 1.311050e+01
## [2646] 3.303680e+01 1.465836e+00 2.332782e+01 7.940181e+00 1.825154e+01
## [2651] 5.298669e+01 5.509041e-01 1.041398e+01 1.663642e+01 1.636617e+00
## [2656] 4.657444e-01 2.502628e+01 1.293662e+01 4.002770e+00 2.790469e+01
## [2661] 1.297427e+01 5.287000e+00 6.748604e+00 4.968263e+00 1.512768e+00
## [2666] 7.936932e+00 1.791943e+01 2.035880e+00 7.756356e+00 9.482367e+00
## [2671] 1.307558e+00 2.713944e+00 8.427302e+00 4.629219e+00 6.808207e+00
## [2676] 1.862851e+01 6.910884e+00 2.304532e+01 8.795359e+00 1.733091e-01
## [2681] 1.609484e+01 7.750221e+00 9.582054e+00 1.253883e+01 3.573421e+00
## [2686] 1.453915e+01 1.208495e+00 1.928539e+01 1.588619e+01 2.068438e+01
## [2691] 5.224256e+00 2.268957e+01 5.455013e+00 5.611484e+01 7.614362e+00
## [2696] 8.237094e+01 6.509492e+00 9.850018e+00 3.984546e+01 2.416089e+01
## [2701] 1.139968e+01 1.474207e+01 3.958285e+00 9.336590e+00 3.101508e+01
## [2706] 9.634619e-01 5.601217e+00 1.394225e+01 1.506285e+00 5.821352e+00
## [2711] 9.063452e+00 3.384756e+00 1.404689e+01 6.619088e+00 2.679641e+01
## [2716] 1.005582e+01 3.951051e+00 2.252640e+01 1.059287e+02 1.710803e+01
## [2721] 8.363037e-01 3.934667e+00 7.344294e-01 1.298398e+01 4.323556e+00
## [2726] 2.021514e+01 2.874254e+01 5.295023e+01 2.120972e+01 1.266502e+01
## [2731] 4.177211e+00 7.383419e-01 4.018553e+00 3.634930e+00 5.156692e+00
## [2736] 8.849771e+00 3.002828e+01 4.054413e+01 1.045818e+01 7.509419e-01
## [2741] 4.409955e+00 2.168536e+01 1.287028e+01 4.988047e+00 1.972655e+00
## [2746] 1.371022e+00 1.636866e+00 5.393373e-01 2.439994e+00 1.956567e+01
## [2751] 2.247697e+01 1.326655e+01 6.173814e+00 2.776660e+01 1.502252e+01
## [2756] 1.012629e+00 2.795837e+01 2.469381e+01 1.450979e+00 1.556958e+01
## [2761] 1.349113e+01 2.934077e-01 1.567423e+01 1.528687e+01 2.731082e+01
## [2766] 4.818339e+00 2.300775e+00 2.535046e+01 4.684625e+01 3.133063e-01
## [2771] 2.191384e+01 1.519915e+01 3.641793e+00 7.247443e+00 1.623985e+01
## [2776] 8.147769e+00 1.457039e+01 3.410034e+00 2.011736e+01 9.067314e+00
## [2781] 2.970183e+00 1.805177e+01 4.437939e+00 1.910626e+01 6.656499e-01
## [2786] 2.074300e+01 1.451853e+00 1.843246e+01 2.233529e+00 1.293636e+01
## [2791] 1.333411e+01 4.480093e+00 1.979411e+01 2.748477e+01 1.654703e+01
## [2796] 3.006133e+00 7.373580e+00 7.930935e+00 4.956596e+01 6.196941e+00
## [2801] 3.313955e+00 1.282168e+00 2.756483e+00 4.150021e+00 2.437413e-01
## [2806] 7.978102e+00 2.037934e+01 1.298929e+01 3.451012e-01 3.246697e+01
## [2811] 3.679666e+01 1.219967e+01 3.329176e+01 7.909137e+00 2.069403e+01
## [2816] 2.133606e+01 3.995018e+00 2.365907e+00 2.538845e+00 4.092806e-01
## [2821] 4.443315e+01 1.704621e+00 1.320718e+01 5.921055e+00 2.274700e+00
## [2826] 1.993277e+01 4.304960e+00 3.711411e+00 6.090523e+00 1.601584e+00
## [2831] 1.839782e+00 3.988668e+01 2.247452e+00 6.754780e+00 9.553543e+00
## [2836] 8.261283e+00 3.307520e+00 6.942811e+00 4.085178e+00 1.358247e+01
## [2841] 2.717508e-01 4.211592e+00 1.412726e+01 3.457988e+00 2.424611e+00
## [2846] 7.403809e+00 7.899362e+00 2.057510e+00 1.431492e+01 4.861489e+00
## [2851] 1.763615e+01 2.179214e+00 3.174358e+00 1.086481e+00 6.735799e-01
## [2856] 1.161276e+01 2.815260e+01 2.011226e+01 7.337349e+01 1.957009e+01
## [2861] 4.141610e-01 1.866360e+00 2.015277e+01 9.743765e+00 2.527076e+01
## [2866] 2.415570e+01 1.137401e+01 4.796115e+00 2.221435e+00 2.342993e+00
## [2871] 1.252554e+01 1.476345e+01 4.132902e-01 5.683074e-01 4.498779e+00
## [2876] 1.854604e+01 7.188299e+00 3.929920e+00 3.409070e+00 8.714347e+00
## [2881] 1.003083e+01 7.589287e+00 6.737615e+00 3.262626e+00 1.810536e+01
## [2886] 1.300319e+00 7.491308e+00 4.921869e+00 1.088965e+01 7.317350e+00
## [2891] 3.318332e+01 4.484856e+01 2.134075e+01 4.969288e+01 3.144098e-01
## [2896] 3.552149e+01 2.799890e+01 2.274268e+01 3.390818e+00 2.995760e+01
## [2901] 9.987473e-01 8.848441e-01 2.256365e+01 6.978528e+00 1.925556e+00
## [2906] 1.492478e+00 1.333082e+01 3.024413e+01 5.035942e+00 1.601887e+00
## [2911] 1.467017e+00 2.222393e+01 7.381177e+00 5.834503e+01 3.679985e+00
## [2916] 3.716012e+01 2.145955e+01 7.976494e-02 5.915893e+00 1.842429e+01
## [2921] 1.603158e+01 2.068940e+01 5.946158e+00 1.373748e+01 8.221307e+00
## [2926] 7.453033e+00 1.194339e+01 2.230464e+01 2.008716e+01 8.299768e+00
## [2931] 1.745744e+01 1.793465e+01 9.458617e+00 7.114739e-01 6.991433e-01
## [2936] 9.185157e+00 6.991323e+00 5.206432e+00 1.100006e-01 4.652871e-01
## [2941] 1.936870e-01 1.268017e+00 4.699765e+00 3.320198e+00 7.756468e+00
## [2946] 4.558840e+00 8.457001e+00 7.357811e+00 1.954260e+01 4.156369e+01
## [2951] 4.738610e+01 4.424447e+00 1.197052e+01 2.395034e+00 1.923896e+00
## [2956] 9.628620e-01 3.459528e+01 6.033103e+00 1.260518e+01 1.050141e+01
## [2961] 3.745733e+01 1.680010e+01 1.631339e+01 2.287804e+01 6.679824e+00
## [2966] 3.369613e+00 3.873536e+01 3.228389e+01 8.722764e+00 1.893429e+01
## [2971] 6.141044e-01 5.230098e+00 3.497522e+00 1.620022e+01 1.897553e+01
## [2976] 5.719529e+00 9.916938e-01 4.686494e+01 4.247157e+00 3.559786e+00
## [2981] 4.943408e+00 2.545819e+00 1.367646e+00 1.486771e+01 4.232064e+01
## [2986] 1.958220e+01 1.260278e+01 1.764246e+01 3.617483e+00 2.852708e+00
## [2991] 1.592460e+01 3.476849e+00 2.704543e+00 3.022339e+00 2.484187e+00
## [2996] 2.211608e+01 1.230836e+01 8.568785e+00 1.286171e+01 8.509289e+00
## [3001] 8.255470e+00 1.453820e+01 6.225422e+00 5.165450e+00 7.080400e+00
## [3006] 6.497904e-01 5.095836e+00 1.669689e+00 6.764160e+01 3.266688e+00
## [3011] 6.799312e+00 2.580456e-01 2.732549e+00 1.081788e+01 1.047313e+01
## [3016] 2.768136e+01 1.798150e+01 6.061518e+01 1.109004e+00 1.285943e+01
## [3021] 2.217355e+00 1.926622e+01 2.646534e+00 2.340139e-01 7.117086e+00
## [3026] 6.579146e-01 3.273611e+00 6.714566e+00 1.129371e+01 4.539121e+00
## [3031] 3.383849e+01 2.168358e+01 6.026014e+00 9.564606e-01 1.027263e+00
## [3036] 1.723869e+01 1.129081e+01 1.450897e+01 2.011070e+01 1.165511e+01
## [3041] 9.129283e+00 2.728099e+01 1.191273e+01 1.795495e+00 5.599299e+00
## [3046] 1.821556e+00 5.284496e+00 1.261282e+01 1.700341e+01 1.877442e+01
## [3051] 3.180576e+00 1.346997e+01 2.378167e+01 1.986758e+01 1.926297e+01
## [3056] 3.488574e-01 5.827524e+01 2.820219e+01 2.496841e+01 2.443730e+00
## [3061] 3.544860e+00 9.241939e+00 4.609061e+00 3.831082e+01 5.683345e+00
## [3066] 2.646581e+01 4.372246e+00 6.869746e+00 1.203514e+01 2.952416e+01
## [3071] 9.444781e-01 8.745177e+00 1.145031e+01 3.797129e+00 1.366109e+01
## [3076] 1.541624e+01 1.463133e+01 5.138893e+00 1.083633e+01 1.730089e+01
## [3081] 3.150964e+01 2.501805e+00 2.511507e+01 2.461566e+01 1.293587e+01
## [3086] 1.277807e+01 1.311285e+01 4.485980e-01 2.204664e+01 3.784416e+01
## [3091] 6.126226e-01 8.622577e+00 1.930112e+01 1.407419e+01 2.113043e+01
## [3096] 1.697131e+01 1.445145e+01 8.948354e+00 1.754113e+01 4.171487e+00
## [3101] 1.530752e+01 5.436421e+00 1.221524e+01 7.924236e+00 6.377685e+00
## [3106] 2.517509e+00 3.899703e+00 1.170628e+01 1.348831e+01 1.565829e+01
## [3111] 2.552457e+01 1.063293e+01 1.200203e+01 6.812683e+00 4.154399e+00
## [3116] 1.479955e+01 1.829001e+01 1.452335e+01 2.077822e+00 3.079277e+00
## [3121] 3.136708e+00 2.680958e+01 6.058405e+00 1.955413e+01 4.524441e+01
## [3126] 1.280163e+00 1.314195e+01 4.492770e+01 1.329869e+01 7.347376e+00
## [3131] 1.115495e+01 2.122376e+00 1.633442e+01 6.007749e+00 5.873100e+00
## [3136] 1.280155e+01 1.211360e+01 2.999305e+01 6.145953e-01 3.457367e+01
## [3141] 6.442499e+01 2.012276e+00 3.012188e+00 9.013847e+00 9.599018e+00
## [3146] 4.496717e+01 1.630434e+01 3.580992e+00 1.255845e+01 3.962468e+00
## [3151] 2.244047e+00 3.022064e-01 9.691376e+00 1.986765e+01 1.295474e+01
## [3156] 6.283397e+00 1.328654e+01 1.492777e+01 3.627006e+00 1.516190e-01
## [3161] 2.312268e+01 9.057735e-01 2.315693e+01 5.569370e+00 5.129087e+00
## [3166] 1.972908e+00 3.741253e+00 5.705729e+00 1.279790e+01 6.216915e+00
## [3171] 7.489212e+00 1.446338e+00 3.121396e+00 2.207005e+01 2.361185e-01
## [3176] 3.599375e+01 4.327880e+00 2.154054e-01 1.844690e+01 9.813000e+00
## [3181] 2.358054e+01 9.124301e-01 6.963908e-01 2.027902e+00 2.414098e+01
## [3186] 3.074657e+00 3.661296e+01 2.907354e+00 1.871603e+01 1.104963e+01
## [3191] 8.357895e+00 1.064536e+01 2.279520e+00 8.311155e-01 6.265869e+00
## [3196] 2.898315e+01 1.111445e+01 2.326623e+00 3.053257e+01 1.210326e+01
## [3201] 2.434492e+00 9.456255e-01 4.787162e+00 8.613606e-01 8.542196e+00
## [3206] 3.853412e-01 1.398004e+01 1.252683e+00 9.102464e+00 5.564821e+00
## [3211] 4.829123e-01 7.916613e+00 1.803332e+01 6.434463e+00 1.728650e+01
## [3216] 1.709235e+01 2.823535e+00 2.957200e+01 1.454330e+01 1.498140e+01
## [3221] 1.038338e+01 9.465484e+00 1.859994e+01 9.202816e+00 2.204396e+01
## [3226] 1.946819e+01 1.903844e+01 4.772598e+00 7.798020e+00 7.767047e+00
## [3231] 6.130891e+01 2.124870e+01 8.658210e+00 5.734202e+00 6.275929e+00
## [3236] 3.040273e-01 2.197354e+01 1.239185e+01 8.101111e+00 6.849160e+00
## [3241] 7.488854e+00 3.540806e+00 9.445425e+00 5.489523e+00 3.711631e+00
## [3246] 3.091554e+01 6.812014e+00 1.166859e+01 3.249376e+00 2.540630e+00
## [3251] 1.200875e+01 1.801352e-01 1.389476e-01 7.353300e+00 1.235718e+01
## [3256] 5.052156e+01 7.555350e+00 2.636804e+01 1.686760e+00 3.948994e+00
## [3261] 6.038326e+00 5.559458e+00 1.167062e+01 2.160683e+00 1.307573e+01
## [3266] 1.576314e+00 7.417517e+00 1.825473e+01 6.281081e+00 4.064386e+01
## [3271] 5.647818e-01 2.598297e+00 2.332392e+00 1.566125e+01 6.712752e+00
## [3276] 5.697801e+00 1.851175e+01 9.059351e+00 7.154257e+00 2.198703e+00
## [3281] 5.745801e+00 2.460460e+00 1.994191e+01 2.394075e+01 1.792933e+01
## [3286] 1.410188e+01 1.493808e+00 3.517225e+00 9.887900e-01 2.416500e+00
## [3291] 4.993268e+00 1.774138e+00 2.661261e+00 6.614369e+00 2.959674e+01
## [3296] 1.595504e+00 1.802676e+01 2.603318e+00 1.176153e+01 3.956571e+01
## [3301] 1.694556e+01 4.978370e+00 1.980072e+00 3.324863e+00 4.073196e+00
## [3306] 1.713498e+01 3.632790e+01 7.224384e+00 1.378287e+00 4.789318e+00
## [3311] 9.047431e+00 1.373122e+01 1.653533e+01 1.262810e+00 1.555537e+00
## [3316] 1.181729e+01 1.164090e+00 9.556750e+00 1.605447e+01 1.894496e+01
## [3321] 1.180069e+01 7.842696e+00 4.996174e+00 1.032029e+01 3.315583e-01
## [3326] 2.040863e+01 2.812900e+01 1.121846e+00 2.314266e+01 6.924441e+01
## [3331] 8.193524e+00 1.348422e-01 1.497201e+01 1.676795e+01 4.547027e+01
## [3336] 6.107917e-02 2.113053e+01 1.005748e+01 1.210353e+01 6.510581e+00
## [3341] 6.090456e+00 9.438116e-01 2.393910e+00 1.755783e+01 3.255233e+00
## [3346] 3.284930e+00 2.630752e+00 1.541425e+01 9.364597e+00 4.889387e+00
## [3351] 4.745054e+00 5.737114e+00 1.538176e+01 2.092454e+00 4.942470e-01
## [3356] 6.929567e-01 1.162926e+00 1.056364e+01 1.742211e+01 3.554144e+00
## [3361] 1.086862e+01 2.300920e+01 1.145719e+01 7.098681e+00 2.744164e+01
## [3366] 2.769976e+00 4.953788e-01 3.633122e+01 7.761089e+00 4.918739e+00
## [3371] 1.504733e+00 2.730277e+01 1.324098e+01 1.823398e+01 7.686374e+00
## [3376] 1.618972e+01 1.992621e+01 3.174219e+01 4.518284e+00 2.100052e+01
## [3381] 3.001673e+00 1.877917e+01 2.116305e+01 2.214872e+00 1.747749e+00
## [3386] 8.400221e+00 3.997837e+01 1.185008e+01 7.999454e+00 7.698015e+00
## [3391] 1.235933e+01 4.791196e+01 1.716521e+01 4.407448e+00 3.965658e+00
## [3396] 3.490665e+00 1.219850e+00 2.276357e+01 7.879109e+01 3.762737e+00
## [3401] 2.617291e+00 7.559405e+00 2.102838e+00 2.010587e+00 2.183163e+01
## [3406] 1.442298e+01 3.722671e-01 2.934161e+00 1.587257e+01 9.625487e+00
## [3411] 1.581309e+01 1.403006e+01 5.855156e+00 1.244960e+01 4.347227e+01
## [3416] 2.578636e+00 1.475107e+01 1.085625e+01 1.132665e+01 1.155302e+01
## [3421] 1.229246e+00 3.496875e+00 1.251107e+01 3.138751e+01 1.580624e+01
## [3426] 3.739432e+01 9.889918e+00 2.235608e+00 4.635104e+00 3.660733e+01
## [3431] 6.909399e+00 1.206485e+01 2.011611e+01 5.230258e+00 9.162947e+00
## [3436] 1.281548e+00 1.606174e+01 4.437155e+01 1.788679e+00 8.240547e+00
## [3441] 1.128672e+01 1.166476e+01 3.240114e+01 1.182604e+01 2.487785e+00
## [3446] 2.024972e+01 3.704670e+01 1.371906e+01 4.297044e+01 1.547396e+01
## [3451] 3.493909e+01 8.810884e-01 4.759735e+00 6.539056e+00 2.674401e+00
## [3456] 2.211893e+01 1.268265e+00 8.479644e+00 2.537067e+01 1.530964e+00
## [3461] 1.221136e+00 1.585285e+00 4.481883e+01 7.406704e+00 1.757925e+01
## [3466] 4.819056e+01 3.410266e+01 4.657088e+00 1.159246e+00 5.106245e+00
## [3471] 2.788650e+01 6.305317e+00 1.036669e+01 3.963790e+00 1.682197e+01
## [3476] 3.372548e+01 2.313327e+01 1.413489e+01 1.454705e+01 2.898387e+01
## [3481] 8.802744e-02 1.800691e+01 3.619964e+00 6.517574e+00 3.104902e+01
## [3486] 1.418722e+00 4.276487e+01 2.821625e+01 6.462124e+00 2.690214e+00
## [3491] 2.305620e+01 2.121753e+01 4.123503e+00 3.992813e+00 2.138880e+01
## [3496] 4.784103e-01 6.123630e-01 1.976565e+01 2.697427e+00 1.135729e+01
## [3501] 3.038919e+01 5.115338e+00 1.216319e+01 1.093688e+00 3.195116e+00
## [3506] 1.794257e+01 3.441978e+01 1.576866e+00 1.478935e+01 2.005753e+01
## [3511] 5.813574e+00 3.019705e+00 9.167525e+00 6.554541e+01 3.699754e+00
## [3516] 3.794904e-01 1.253180e+01 2.650195e+00 2.044455e+01 1.784896e+01
## [3521] 6.922821e+00 1.321232e+00 2.681381e+01 4.832477e+00 8.321369e-01
## [3526] 2.042044e+01 3.123390e-01 3.054378e+01 2.723493e+00 2.967813e+00
## [3531] 3.349043e+00 4.692022e+00 1.531804e+01 3.075253e+00 3.782012e+01
## [3536] 5.574388e+00 1.110487e+00 2.010061e+01 8.108117e+00 1.423308e+01
## [3541] 3.107406e+00 6.038169e+00 9.998929e-01 8.202139e-03 3.056100e+00
## [3546] 5.521460e+00 1.845299e+01 1.092751e+00 2.154139e+01 8.578086e+00
## [3551] 3.449920e+00 1.065508e+01 2.190989e+01 4.189091e+00 2.655937e+01
## [3556] 1.539186e+00 2.161116e+00 1.359776e+00 1.900558e+01 5.954725e+00
## [3561] 1.290057e+01 1.319582e+01 7.095012e+00 8.624169e-01 2.230102e+01
## [3566] 1.697950e+01 1.856039e+01 2.214121e+00 1.890203e+01 6.593100e+00
## [3571] 7.203076e+00 3.004710e+01 1.275262e+01 3.078714e+00 1.119267e+00
## [3576] 1.680933e+01 1.059500e+01 1.223048e+00 6.906101e+00 1.905335e+01
## [3581] 1.310830e+01 5.428844e-01 6.537744e+00 8.672443e+00 1.465060e+01
## [3586] 4.733195e+01 1.540393e+00 2.627969e+00 3.560444e+01 3.684638e+00
## [3591] 8.861813e-01 8.104253e-02 4.482474e-01 4.904627e+00 2.102165e+01
## [3596] 2.377736e+01 1.378561e+01 1.059024e+01 1.495066e+01 5.565629e+00
## [3601] 2.617255e+01 5.770091e+00 1.778332e+00 7.016887e+00 2.279007e+00
## [3606] 9.502672e+00 2.126731e+01 1.298488e+01 1.571478e+01 1.686309e+01
## [3611] 5.547360e-01 1.730779e+01 4.588404e+00 4.283829e+00 3.683114e+01
## [3616] 1.374698e+01 1.377219e+01 4.765002e+00 2.338281e+00 1.316947e+01
## [3621] 7.515220e+00 7.572202e+00 2.403194e+00 3.731440e+01 2.507512e+01
## [3626] 1.654712e+01 6.760345e+00 5.680867e+00 1.035779e+01 2.247888e+01
## [3631] 6.063423e+00 2.752576e+01 7.352445e+00 4.302088e+01 5.455875e+00
## [3636] 1.694991e+01 4.234448e-02 8.647360e+00 1.586574e+01 1.246660e+01
## [3641] 3.236966e+01 2.356001e+01 9.684086e-01 1.504601e+01 6.716786e+00
## [3646] 3.680766e+00 1.788659e+01 9.306833e+00 1.153240e+01 2.204205e+01
## [3651] 1.987987e+00 7.343404e+00 1.889029e+01 6.779987e+00 3.247066e+01
## [3656] 3.081392e+00 7.761110e+00 7.793938e-02 9.827933e+00 6.381724e+00
## [3661] 3.693365e+00 1.588037e+00 1.052193e+01 3.628176e+00 5.901736e+00
## [3666] 5.677724e+00 2.742030e+01 1.096640e+01 4.180645e+01 8.847043e+00
## [3671] 1.822226e+00 2.780327e+00 1.710877e+01 8.175798e+00 2.393772e+00
## [3676] 4.098040e+01 2.232105e+00 2.732030e+01 1.561886e+00 5.457901e-01
## [3681] 7.063805e+00 1.010947e+01 5.190981e-01 2.722599e+00 8.208232e-01
## [3686] 5.786921e+00 1.760451e+01 2.302659e+01 2.638458e+01 1.810902e+01
## [3691] 1.481681e+01 4.411798e+00 6.507482e+00 2.126223e+00 5.563748e+00
## [3696] 3.302271e+00 1.966768e+01 2.263083e+01 1.518397e+01 1.069313e+00
## [3701] 1.465622e+01 2.319657e+00 3.034081e+00 1.333587e+01 4.720293e+00
## [3706] 5.052936e+00 1.338948e+00 4.786325e+00 5.100659e+00 6.863228e+00
## [3711] 2.067745e+01 1.054612e-01 2.770688e-01 1.698584e+00 7.131797e+00
## [3716] 1.035195e+01 5.710272e+00 8.539837e+00 1.773344e+01 1.382636e+01
## [3721] 1.374760e+00 5.367397e+00 6.315931e+00 5.065588e+00 9.327413e-01
## [3726] 1.316882e+00 1.740545e+01 5.131411e+00 1.167716e+01 3.356765e+01
## [3731] 8.276114e+00 5.948965e+00 9.246354e+00 9.581307e+00 1.640372e+01
## [3736] 6.183754e+00 1.419009e-01 3.100237e-01 1.770215e+01 3.231495e+01
## [3741] 1.885167e+01 6.443521e+00 7.238844e+00 3.764389e+00 1.192327e+00
## [3746] 5.769031e+00 3.889110e+00 9.692678e+00 1.617857e+00 2.316749e+01
## [3751] 1.036010e+01 1.039922e+01 1.935987e+01 6.420666e+00 1.985358e+01
## [3756] 2.837183e+01 1.018764e+00 2.349747e+00 2.350460e+01 3.168725e+00
## [3761] 3.409241e+00 1.153893e+01 2.042921e+01 2.484602e+01 1.540618e+00
## [3766] 2.068613e+01 7.444679e+00 5.718544e+00 1.340920e+00 4.793689e+01
## [3771] 2.251013e+00 7.953843e+00 2.551003e+00 2.037054e+01 3.957902e+00
## [3776] 1.208799e+00 6.147958e+00 1.015442e+00 4.453024e+00 1.325545e+01
## [3781] 5.225888e+01 1.027334e+01 4.130813e+00 8.854966e+00 3.414007e+01
## [3786] 8.737791e+00 5.641161e+00 6.808310e+00 3.713264e+00 4.943262e+00
## [3791] 1.413792e+01 1.333623e+01 5.058723e+01 2.896989e+01 1.851656e+01
## [3796] 5.913867e-01 1.852071e+01 5.376334e+01 7.949592e-01 6.875311e+00
## [3801] 8.248485e+00 1.616759e+01 1.052363e+01 3.349694e+00 2.073256e+01
## [3806] 3.066864e+01 1.604319e+01 9.328271e+00 1.951920e+01 1.124309e+01
## [3811] 7.241770e+00 1.291556e+01 4.946432e+00 6.846670e+00 1.497157e+01
## [3816] 1.317461e+01 1.704168e+01 6.098059e+00 1.980165e+01 7.744240e+00
## [3821] 1.156376e+00 7.464423e+01 1.095441e-01 1.768093e+01 2.309726e+01
## [3826] 1.770894e+00 3.058813e+00 3.757314e+00 9.838168e+00 2.733652e+01
## [3831] 9.374321e+00 2.226996e+01 1.526555e+00 3.775668e+01 5.301908e+00
## [3836] 4.084760e+01 6.353708e-01 7.144410e+00 1.306687e+01 5.860270e+00
## [3841] 9.226198e+00 9.612259e-01 3.062068e+01 2.994916e+01 1.325813e+01
## [3846] 7.555876e+00 1.038125e+01 2.431059e+01 1.297561e+01 1.262949e+01
## [3851] 3.336431e+00 1.498524e+01 1.092136e+01 7.493429e+00 4.481062e+01
## [3856] 3.482214e+01 6.522066e+00 9.746153e+00 3.521082e+00 2.302535e+01
## [3861] 1.027773e+01 8.668865e+00 1.251078e+01 4.258860e+00 8.444304e+00
## [3866] 1.953426e+00 7.230782e-01 2.082840e+00 9.473728e-01 2.613751e+01
## [3871] 9.243219e-01 1.476694e+01 2.189506e+00 1.757009e+01 9.790516e-02
## [3876] 2.413615e+00 9.668176e-02 1.311362e+01 9.284107e+00 1.947404e+01
## [3881] 7.961611e+00 2.992758e+01 2.617819e+01 1.996620e+00 2.796041e+01
## [3886] 2.746952e+01 7.751288e-01 1.129070e+01 2.707504e+00 1.633198e+01
## [3891] 6.526239e+00 1.357194e-01 1.304429e+00 4.099225e+00 1.794328e+01
## [3896] 9.605434e+00 1.499825e+01 1.208717e+00 7.064278e+00 1.095452e+01
## [3901] 2.216149e+01 1.296868e+01 1.408554e+01 2.667017e+01 1.401214e+00
## [3906] 1.016382e+00 1.490485e+01 5.468371e+00 1.331679e+01 2.505991e+01
## [3911] 7.485918e+00 2.985972e+00 6.981626e+00 8.377932e+00 1.395758e+01
## [3916] 9.342069e+00 1.244263e+01 5.758018e+00 5.930427e+00 5.507360e+01
## [3921] 3.568423e+00 8.258552e+00 3.822367e+01 1.024859e+01 7.813923e+00
## [3926] 3.254062e+00 2.869773e+01 2.976103e+01 2.377316e+01 2.038433e-01
## [3931] 1.281103e+01 2.125414e+01 3.951876e+00 4.379192e+00 2.452548e+01
## [3936] 8.209265e+00 1.256182e+00 2.351285e+01 2.606094e+00 7.640793e+00
## [3941] 7.557888e+00 2.299338e+01 1.030542e+01 1.021673e+01 1.525856e+01
## [3946] 3.561949e+00 2.300577e+00 5.654514e+00 6.747332e+00 1.228620e+01
## [3951] 2.405951e+00 1.723168e+01 8.008923e+01 4.231734e+01 3.765236e+00
## [3956] 6.214351e+00 5.086025e-01 5.626306e+00 5.697495e+00 6.839825e+00
## [3961] 1.211223e+01 5.895220e+00 1.055541e+01 2.658930e+01 5.869203e+00
## [3966] 3.880848e+01 3.587273e-01 4.727589e+01 1.953568e+00 1.991467e+01
## [3971] 2.084959e+00 1.089175e+01 6.966987e+00 1.196418e+01 3.876433e+00
## [3976] 6.567945e+00 2.125881e+01 1.610460e+01 4.116106e+00 3.379272e+01
## [3981] 1.944939e+00 2.146297e+01 2.063235e+01 3.282962e+01 8.855404e-01
## [3986] 1.024825e+01 5.471480e+00 5.546547e+00 5.675826e+00 2.987649e+00
## [3991] 2.136191e+01 1.867439e+01 3.282912e+00 2.242078e+00 9.032316e+00
## [3996] 3.994092e+00 6.545383e+00 3.243241e+00 1.150668e+01 3.664912e+00
## [4001] 1.098850e+01 1.354500e+00 3.540451e+01 1.404453e+00 1.441061e+01
## [4006] 6.339399e+00 9.913052e+00 1.796886e+01 2.020119e-01 1.414311e+01
## [4011] 2.216736e+01 8.656444e+00 8.845099e+00 1.479891e+01 6.741118e+00
## [4016] 5.686201e+00 4.596898e+01 5.138420e+00 1.287232e+00 6.802519e+00
## [4021] 4.688978e+00 3.158390e+01 9.082461e-01 4.506968e+00 2.023151e+00
## [4026] 9.310146e+00 1.930086e+00 1.069714e+01 9.340913e+00 3.046014e-01
## [4031] 5.196980e+00 1.586619e+01 9.011064e+00 1.811246e+01 7.219831e-01
## [4036] 4.795888e+00 2.292543e+01 4.386417e+01 4.229115e+00 1.070852e+01
## [4041] 7.238916e+00 1.101121e+01 4.184510e+00 1.055836e+01 2.905096e+01
## [4046] 2.669739e-01 6.674957e+00 3.135939e+01 5.079680e+00 6.731300e+00
## [4051] 4.865173e-01 5.568124e+00 6.234566e+00 9.694245e+00 1.240630e+01
## [4056] 1.256805e+00 1.698957e+01 2.017583e+01 2.859636e+00 1.366675e+01
## [4061] 3.614227e+00 2.115263e+01 5.767733e+00 7.877596e+00 1.180731e+01
## [4066] 3.178564e+00 1.196981e+01 5.814283e+00 1.194028e+01 2.222983e+00
## [4071] 3.858861e+01 5.518214e+00 2.284147e+01 8.871441e+00 7.143914e+01
## [4076] 4.155941e+00 1.514542e+01 2.545721e+01 4.161752e+01 1.873367e+00
## [4081] 1.258372e+00 1.294520e+01 2.175373e+01 1.616907e+01 1.006852e+01
## [4086] 8.751892e+00 1.909566e+01 1.037723e+01 1.429395e+01 1.699513e+01
## [4091] 1.952275e+01 3.892310e+00 1.108254e+00 8.817610e+00 3.420697e+00
## [4096] 8.028733e+00 8.575234e-01 8.080671e+00 7.508169e+00 2.145774e+00
## [4101] 1.072703e+01 6.404804e+00 3.895892e+00 6.566783e+00 2.612116e+00
## [4106] 1.052679e+00 1.382390e+01 4.592637e+01 2.712674e+01 9.955117e+00
## [4111] 1.854353e+01 3.301024e-01 5.024255e+00 2.744891e+00 3.711550e+01
## [4116] 1.081877e+01 1.065450e+00 5.995969e+01 3.846023e+00 1.044780e+01
## [4121] 2.243181e+01 3.408233e+01 1.203607e+01 6.396304e+00 3.057764e+01
## [4126] 1.701584e+00 8.542936e+00 7.854273e+00 7.044484e+00 1.632486e+00
## [4131] 3.510331e+00 2.080353e+00 2.621625e+01 1.696588e+00 2.158842e+00
## [4136] 1.707356e-01 2.177254e-01 7.809253e+00 7.761403e+00 7.197149e+00
## [4141] 2.656035e+01 2.201436e+00 3.176234e+01 7.533888e+00 2.733251e+01
## [4146] 2.252576e+01 4.512354e+00 4.759362e+00 7.570312e+00 4.995816e+01
## [4151] 1.804733e+01 6.389601e+00 1.015415e+01 2.274087e+00 9.546525e+00
## [4156] 2.052587e+01 1.444584e+01 7.855285e+00 1.938304e+01 1.809681e+01
## [4161] 1.266842e+01 1.193164e+01 2.183834e+01 1.606690e+00 1.271011e+00
## [4166] 1.400724e+01 7.654680e+00 2.061449e+01 3.011970e+01 4.933499e+00
## [4171] 3.153051e+00 5.495281e+00 2.880708e+01 5.573479e+00 2.145091e+00
## [4176] 1.592944e+01 2.904655e+01 9.154013e-01 3.364645e+00 7.629458e+00
## [4181] 3.087195e+01 2.118195e+00 2.560455e+01 2.895281e+01 1.214634e+00
## [4186] 1.801824e+00 5.217542e+00 2.448628e+01 8.003541e-01 2.019607e+01
## [4191] 4.996835e+01 5.849171e+00 1.948420e+01 5.006012e+00 4.455929e+00
## [4196] 3.746459e+01 2.167139e+00 9.355903e+00 2.680538e+01 7.547826e+00
## [4201] 2.435265e+01 1.706069e+01 2.102468e+00 1.124484e+01 1.501586e+01
## [4206] 1.806495e+01 1.237414e+00 2.601702e+01 3.025105e+01 2.959788e+00
## [4211] 6.190262e-02 3.088214e+01 7.005174e+00 7.508561e-01 7.254087e+00
## [4216] 5.093278e+00 1.826181e+01 2.503022e+01 5.787439e+00 4.471386e+00
## [4221] 7.504928e-01 1.102497e+01 1.242100e+01 2.123753e+00 2.149608e+01
## [4226] 1.795930e+01 1.852434e+00 2.153573e+01 3.657785e+00 7.430317e+00
## [4231] 1.862548e+00 8.055197e+00 1.023144e+01 5.712852e+00 1.696873e+01
## [4236] 2.784991e-01 7.723977e+00 3.392456e+01 1.910862e+00 5.224506e+00
## [4241] 3.384109e+00 5.272934e+00 3.503945e+00 7.425978e+00 3.819664e+01
## [4246] 5.428269e+00 1.602483e+01 3.963642e+00 9.485962e+00 2.009000e+01
## [4251] 2.911750e+01 7.083139e+00 2.238150e+01 1.309987e+01 7.399726e+00
## [4256] 3.128370e+01 1.566336e+00 3.048173e-01 8.846350e+00 8.530189e+00
## [4261] 1.743157e+01 1.405203e+01 2.641706e+01 1.892582e+01 3.394863e+00
## [4266] 2.297184e+01 1.066181e+01 1.405788e+00 5.765356e+01 5.333187e-01
## [4271] 2.725590e+01 1.714499e+00 2.883637e+01 3.748159e+00 5.916929e+00
## [4276] 4.611957e+00 1.467564e+01 3.638170e+01 2.454649e+00 1.231134e+01
## [4281] 9.185663e+00 7.132795e-01 8.765838e+00 7.896922e-01 2.155852e+01
## [4286] 1.907130e+01 9.759576e+00 1.383046e+01 2.181186e+00 1.215187e+01
## [4291] 5.183344e+00 6.618152e+00 1.546362e+01 6.299659e+00 1.038644e+01
## [4296] 1.577123e+00 5.043796e+00 2.698518e+01 1.247966e+01 1.184943e+01
## [4301] 1.642923e+00 1.240597e-01 1.175797e+01 3.489230e+00 2.033467e+00
## [4306] 1.743241e+00 8.655516e+00 1.113312e+01 3.247169e+01 1.028363e+01
## [4311] 1.029855e+01 1.218532e+00 1.932785e+00 1.982066e+01 3.289492e+00
## [4316] 7.397794e+00 2.522278e+01 1.680410e+01 8.967045e-01 1.296341e+00
## [4321] 4.141738e-01 1.072020e+01 2.665897e-01 1.516923e+01 2.370030e+00
## [4326] 8.646891e+00 1.585627e+01 5.689329e+00 1.046466e+01 1.854168e+00
## [4331] 1.863273e+00 1.124567e+01 6.050195e+00 1.217862e+01 1.932455e+01
## [4336] 9.758791e-01 1.890784e+01 1.364887e+01 2.293752e+01 2.649136e+00
## [4341] 2.241069e+00 2.340023e-01 1.798626e+01 9.127098e+00 2.512274e-01
## [4346] 3.844763e+01 6.320097e+00 5.088711e+00 2.183298e+01 1.833643e+01
## [4351] 3.683465e+01 5.079453e+00 8.790616e+00 2.522834e+01 2.819375e+00
## [4356] 4.085968e+00 2.456757e+00 3.567604e+01 4.048192e+01 8.467558e+00
## [4361] 1.842770e+01 8.250999e+00 6.956952e-01 8.034500e+00 1.667323e+00
## [4366] 1.323647e+01 1.623171e+01 3.237244e+00 2.722767e+01 1.536038e+01
## [4371] 2.989509e+00 1.476521e+01 6.759723e+00 3.386194e+00 3.614348e+00
## [4376] 4.214978e+01 3.244510e+00 3.976587e-02 2.882336e-01 1.273333e+01
## [4381] 5.449427e+00 1.599739e+01 2.580500e+01 3.463729e+00 4.000942e+00
## [4386] 2.954519e+01 2.830216e+00 2.028216e+01 6.095077e+00 2.317881e+01
## [4391] 2.376163e-01 2.662526e+00 7.459304e+00 1.401095e+00 1.391942e+01
## [4396] 4.115692e+01 4.352385e+00 6.693991e+00 8.588023e+00 2.850793e+01
## [4401] 1.017325e+00 1.211931e+01 1.064948e-01 5.647280e+00 1.050221e+01
## [4406] 8.213794e+00 1.577324e+01 2.558644e+01 2.205067e+00 4.993540e+00
## [4411] 3.576543e+00 1.045132e+01 1.057235e+00 5.784010e+00 4.262036e+00
## [4416] 1.191901e+00 1.331975e+01 4.555731e+01 7.591475e-01 4.619698e+01
## [4421] 7.077135e+00 6.299657e+00 1.018609e+01 1.182015e+00 8.877047e+00
## [4426] 8.434974e+00 1.633787e+01 1.294192e+00 2.333906e-02 9.271797e+00
## [4431] 2.334104e+00 2.029522e+01 6.797941e+00 8.258457e+00 1.919296e+01
## [4436] 4.310119e+00 3.179422e+01 2.009222e+00 8.430455e+00 9.829153e+00
## [4441] 8.324776e+00 5.908484e+00 7.551413e-01 2.956880e+01 1.200941e+01
## [4446] 2.353633e+01 1.789656e+00 2.150407e+00 2.048766e+00 4.035037e+00
## [4451] 3.511851e+00 1.972578e+00 8.580945e+00 1.024011e+01 8.911320e+00
## [4456] 3.358741e+00 3.950688e+00 3.220495e+00 2.517328e+00 2.885113e+01
## [4461] 7.609588e+00 7.468942e+00 2.991728e+00 2.152231e+01 6.107235e+00
## [4466] 1.360980e+01 4.316943e+00 6.244421e+00 7.004485e+00 5.098243e-01
## [4471] 2.065897e+01 7.386628e+00 3.313173e-01 2.885396e+00 2.769314e+00
## [4476] 1.957586e+01 9.926951e-01 2.663371e+01 4.126213e+00 1.023644e+01
## [4481] 6.899070e+00 1.485844e+01 1.758129e+01 5.308523e-01 1.970281e+01
## [4486] 1.923663e-01 3.055882e+00 2.772078e+00 7.252812e+01 7.637084e+00
## [4491] 1.405823e+00 4.307825e-01 5.756998e+00 9.878329e+00 2.814107e+00
## [4496] 8.917110e-01 3.812588e+00 3.055457e+00 4.047520e+01 3.510031e-01
## [4501] 1.498403e+00 1.560121e+01 2.191358e+01 2.143871e+00 1.471697e+01
## [4506] 7.412969e+00 4.805287e-01 4.618880e+00 1.346561e+00 4.011356e+00
## [4511] 5.579868e+00 5.196270e+01 1.163416e+01 1.858339e+01 1.625355e+01
## [4516] 5.352471e+00 1.678485e+01 1.030431e+01 2.544387e+01 2.682234e+00
## [4521] 5.563199e+00 1.049177e+01 5.862181e+00 1.703326e+01 4.937126e+00
## [4526] 1.048346e+00 2.912927e+01 7.758597e+00 1.103678e+01 3.181774e+00
## [4531] 6.970855e-01 1.016627e+01 3.066578e+00 4.948808e+00 3.892133e+00
## [4536] 1.744915e+01 1.263674e+01 3.575164e+00 8.598017e+00 5.396140e+00
## [4541] 3.000329e+00 3.607705e+00 1.733883e+01 1.085343e+01 1.430847e+01
## [4546] 6.150462e+00 1.296998e+01 5.441920e+00 1.389036e-01 7.707532e+00
## [4551] 2.524974e+00 5.420984e+00 3.129926e+01 2.879229e+00 4.469318e+00
## [4556] 1.007656e+00 7.402515e+00 2.716785e+01 4.999708e+01 8.587926e-01
## [4561] 3.962557e-01 3.232027e+00 3.701985e+01 1.160146e+01 1.187581e+00
## [4566] 6.822034e+00 7.026148e+00 1.773364e+01 1.242702e+01 3.685778e+00
## [4571] 4.420244e+00 4.594768e+00 1.453697e+01 1.052655e+01 1.879593e+01
## [4576] 8.242201e+00 2.033383e+00 5.809774e+00 7.038378e+00 1.761948e+01
## [4581] 8.036836e+00 2.459672e+01 2.734432e+01 5.383309e-02 1.527202e+01
## [4586] 1.472892e+01 2.443184e+00 1.560098e+01 3.486178e+00 1.281516e-01
## [4591] 1.009292e+01 2.080515e+00 1.372178e+01 9.337297e-01 1.745553e+01
## [4596] 2.629537e+00 1.077951e-01 5.111798e+00 1.829285e+01 1.797780e+01
## [4601] 1.032701e+01 5.416222e+00 1.694710e+01 6.438535e+00 2.643520e+00
## [4606] 1.293700e+01 3.845102e+01 4.072736e+01 6.083312e+00 9.123249e+01
## [4611] 1.025722e+01 6.754178e+00 1.943952e+01 4.641189e+00 1.952822e+00
## [4616] 4.632102e+00 2.846866e-02 1.604690e+00 9.815571e+00 1.121312e+01
## [4621] 1.732914e+01 5.848025e+00 7.406822e+00 2.358172e+01 4.566078e+00
## [4626] 3.846987e+01 2.291432e+00 7.483644e+00 1.312122e+01 6.141583e+00
## [4631] 6.239862e+00 2.644164e+01 7.788290e+00 2.612313e+00 5.302989e-01
## [4636] 6.412999e+00 1.428415e+01 1.609591e+00 6.776510e+00 1.324638e+01
## [4641] 3.047340e-01 1.727106e+01 7.452835e+00 1.167476e+01 3.192794e+00
## [4646] 1.153703e+00 8.070079e-01 9.571641e+00 4.457619e+00 4.904359e+00
## [4651] 2.760150e+01 3.755915e+00 6.000774e+00 1.337037e-01 9.786745e-01
## [4656] 2.820428e+01 2.222552e+01 1.784021e+01 4.433845e+00 7.566209e+01
## [4661] 1.107447e+01 3.626263e+00 2.875558e+00 2.976172e+01 1.245936e+01
## [4666] 9.099176e+00 2.939637e+00 3.282180e+00 6.122184e+00 6.072507e+00
## [4671] 2.347903e+00 1.845812e+01 2.634508e+00 1.100310e+00 3.535545e+00
## [4676] 2.310174e+00 2.226052e+00 1.418575e+01 2.054943e+00 1.671188e+00
## [4681] 5.552298e+00 7.457858e-02 2.720935e+01 1.465250e+01 3.264377e+01
## [4686] 9.247709e+00 6.412283e-01 6.712592e+01 2.999672e+01 1.009381e+01
## [4691] 2.894578e-01 9.283618e+00 3.984327e-01 9.819879e+00 1.656801e+00
## [4696] 1.013300e+01 1.029581e+01 5.835272e-01 6.402383e+01 4.801094e+00
## [4701] 6.673385e+00 9.809096e+00 1.762700e+01 5.521171e+00 4.235756e+00
## [4706] 1.011632e+01 4.269469e+00 2.292948e+01 4.262950e+01 2.021652e+01
## [4711] 1.898697e+01 3.141460e+01 1.054107e+01 2.109037e+00 5.785180e+01
## [4716] 5.507202e+00 1.064987e+00 1.213801e+00 8.857396e+00 9.918900e+00
## [4721] 5.359049e+00 5.605959e+00 4.364083e+00 6.220920e+00 2.517363e+00
## [4726] 2.208233e+01 4.198049e+00 1.431139e+01 2.124268e-01 6.579108e+00
## [4731] 6.873637e+00 3.126470e+01 1.639736e+01 2.382767e+01 5.289564e-02
## [4736] 4.482905e+00 3.894660e+00 1.550211e+01 4.069876e+00 7.786039e+00
## [4741] 1.083291e+01 1.203115e+01 1.712806e+01 3.864625e+01 8.720017e-01
## [4746] 2.499579e+01 1.096130e+00 3.680807e+00 2.802221e-01 2.564707e+01
## [4751] 8.550667e+00 6.081989e+00 4.888384e+01 9.450415e+00 1.811076e+00
## [4756] 2.214013e+01 2.090737e-01 3.280302e+00 2.574889e-01 1.028577e+01
## [4761] 1.366586e+00 1.175289e+01 6.693336e+00 3.749409e+00 1.909646e+01
## [4766] 1.569057e+00 2.185507e+01 6.492956e+00 1.741594e+01 3.272734e+00
## [4771] 1.439482e+00 4.176677e+01 4.741277e+00 2.492990e+01 2.329464e+01
## [4776] 7.036181e+00 1.204816e+01 3.622973e+01 2.662046e+01 3.119890e+01
## [4781] 5.749578e+00 6.356808e-01 2.938376e+01 3.849891e-01 1.095686e+01
## [4786] 1.027740e+01 4.406389e+00 5.399845e+00 3.024863e+01 3.837989e+01
## [4791] 6.956221e-01 2.192440e+00 1.354040e+00 1.114107e+01 3.963351e+00
## [4796] 2.765785e+01 1.011139e+01 3.666380e+01 3.009912e+00 5.864256e+00
## [4801] 7.898498e+00 2.829959e+01 1.934605e+01 1.484002e+01 6.056311e+00
## [4806] 3.876998e+00 1.035914e+00 4.410420e+00 1.017617e+01 5.471323e+00
## [4811] 1.576336e+01 1.738006e+01 4.049928e+01 3.296625e+00 3.402632e+01
## [4816] 8.954381e+00 2.760145e+01 1.268217e+01 6.007548e+00 2.761026e+00
## [4821] 1.877775e+01 2.127532e-01 1.475176e+01 1.330627e+01 7.550484e+00
## [4826] 9.837979e+00 2.730465e+01 1.444762e+01 1.363224e+01 6.980938e+00
## [4831] 1.249516e+01 4.467902e+00 1.193206e+00 1.217832e+01 6.507252e+00
## [4836] 1.688198e+01 1.075504e+01 7.979177e+00 6.583938e+00 1.417509e+01
## [4841] 7.546443e+00 1.280951e+01 2.411717e+00 3.332195e-01 4.195831e+01
## [4846] 3.711989e+00 3.266001e+01 1.868919e+01 5.367126e+00 9.557607e+00
## [4851] 2.017173e+01 1.827695e+01 5.717156e+00 1.392013e+01 4.072359e+00
## [4856] 3.389819e+01 1.432983e+00 1.671471e+01 9.413643e-01 8.823808e+00
## [4861] 6.627956e+00 3.242354e+01 2.803672e+01 1.853684e+00 1.123495e+01
## [4866] 7.074873e+00 7.479356e+00 1.280232e+01 5.518650e-01 1.984941e+00
## [4871] 5.611180e+00 1.637039e+01 7.174661e+00 1.871366e+00 1.779937e+01
## [4876] 4.038911e+01 1.669269e+00 1.318139e+01 1.688692e+01 1.570427e+01
## [4881] 1.381237e+01 1.202328e+01 9.948359e+00 9.565955e-01 7.577314e+00
## [4886] 2.036561e+00 8.646053e+00 3.846548e+01 3.759503e+00 3.985475e+00
## [4891] 1.020760e+01 2.401632e+01 8.998767e+00 1.895164e+01 1.029130e+01
## [4896] 2.820795e+01 2.825098e-01 3.154639e-01 1.210496e+01 3.917240e+00
## [4901] 2.890401e+01 3.443732e+00 1.896215e+01 2.666628e-01 1.377872e+01
## [4906] 1.395636e+01 5.807125e+00 1.414008e-01 5.030836e+01 2.371577e+01
## [4911] 6.221449e+01 8.734950e+00 1.272970e+01 1.838882e+01 3.733788e+00
## [4916] 1.204513e+01 1.927629e+00 8.739719e+00 5.151922e+00 1.230379e+01
## [4921] 8.094858e+00 3.587039e+00 1.074908e+01 1.036931e+01 1.086028e+01
## [4926] 6.441814e+00 5.400284e-02 2.539865e+00 2.980278e+01 9.335994e+00
## [4931] 7.468655e-01 1.892075e+00 1.815535e+01 1.144307e+01 8.991028e+00
## [4936] 3.170306e+01 7.841833e-01 4.995793e+00 1.926587e+01 1.096717e+00
## [4941] 1.171706e+01 1.986124e+01 1.399785e+01 8.578032e+00 1.339152e+01
## [4946] 7.858874e+00 4.975996e+00 5.834560e+00 5.547749e+01 7.511193e+00
## [4951] 1.413569e+01 6.702756e+00 1.244455e+01 6.165469e+01 8.886577e+00
## [4956] 3.823533e-01 1.262247e+01 5.516592e+01 1.403325e+01 3.565090e+00
## [4961] 1.661481e+00 1.538391e+01 3.904104e+00 1.517067e+01 1.701598e+00
## [4966] 9.052770e-01 4.105367e+00 1.743554e+01 3.776045e+01 1.403205e+01
## [4971] 1.513383e+01 4.186716e+01 5.303660e+01 4.851388e+01 4.948962e+01
## [4976] 1.325845e+01 3.857930e+01 4.899943e+00 5.936803e+00 4.297103e+00
## [4981] 2.148470e+00 4.776494e+00 4.746943e+00 1.330351e+01 2.670473e+00
## [4986] 6.205890e+00 1.614510e+01 1.124774e+00 3.578283e+00 1.519386e+01
## [4991] 2.510872e+01 1.514206e+01 1.250605e+01 1.436808e+01 1.734164e+01
## [4996] 3.162948e+00 1.765846e+00 6.463957e+00 4.302186e+00 6.016892e+00hist(tiempoLlegada, main = "tiempo entre llegadas de solicitudes",col = "blue")
3. Duración de la atención
Cada ingeniero tarda en promedio 30 minutos en resolver un ticket, con una desviación estándar de 5 minutos.
A. Simule 5000 atenciones.
B. Grafique el histograma con la curva normal teórica.
C. Determine la proporción de atenciones que superan los 35 minutos.
set.seed(2804)
tiempoResolver<-rnorm(5000,30,5)hist(tiempoResolver, main = "Tiempo que tarda en resolver",col = "green",probability = TRUE,
xlab = "Minutos")
#Comando utilizados para hacer sobresalir la curva
xvals <- seq(min(tiempoResolver), max(tiempoResolver), length.out = 200)
lines(xvals, dnorm(xvals, mean = 30, sd = 5), col = "red", lwd = 2)
probabilidad <- mean(tiempoResolver > 35)
probabilidad## [1] 0.15964. Tickets escalados a segundo nivel
Un 20% de los tickets requieren ser escalados a un nivel superior. Suponga que en una hora se reciben 10 tickets.
A. Simule 1000 horas de operación.
B. Cuente cuántos tickets son escalados.
C. Grafique usando la función barplot.
set.seed(2804)
tickets<-rbinom(1000,10,0.2)
tickets## [1] 2 0 3 0 2 2 0 4 0 7 1 2 3 2 2 2 2 1 1 4 2 2 2 1 2 1 4 0 2 3 3 1 2 1 3 1 2
## [38] 2 2 1 2 1 4 3 4 4 1 1 1 5 4 1 0 2 3 1 3 2 3 2 3 2 4 1 3 1 3 2 2 2 2 2 3 2
## [75] 2 1 2 3 2 1 1 2 4 1 3 0 1 3 3 2 0 1 2 2 2 1 4 1 2 2 0 2 0 4 3 2 3 3 3 0 3
## [112] 2 3 6 2 2 1 3 2 0 0 3 3 2 3 4 0 2 3 1 2 3 1 1 3 1 2 2 4 2 1 1 3 0 1 2 2 2
## [149] 2 0 3 4 1 2 1 2 2 1 1 2 2 1 3 3 2 0 2 2 2 1 1 3 3 1 1 3 2 0 2 3 1 1 2 2 0
## [186] 1 3 2 0 1 1 3 2 2 1 1 1 3 1 3 4 2 0 1 4 3 2 2 2 5 1 1 1 2 4 2 3 2 2 0 3 1
## [223] 4 2 3 1 3 2 2 2 0 2 3 0 1 0 2 2 2 0 3 1 2 1 2 1 2 3 2 2 2 2 2 3 3 2 3 2 3
## [260] 2 1 1 1 2 2 3 1 2 1 2 1 2 3 2 1 3 1 2 3 4 3 2 2 0 3 4 5 1 1 1 4 2 3 4 3 1
## [297] 4 0 3 3 2 4 3 0 0 1 5 0 4 1 4 1 2 1 3 4 2 2 1 2 1 3 3 0 1 4 1 3 0 1 1 3 3
## [334] 3 3 5 2 3 2 2 2 2 4 3 1 1 3 3 2 2 1 3 1 2 2 1 3 1 3 4 1 0 3 2 0 2 0 4 2 2
## [371] 1 2 1 0 1 3 1 0 0 1 4 6 2 2 3 1 2 1 4 2 2 4 5 2 1 2 1 2 3 4 3 0 2 1 4 2 1
## [408] 1 2 2 2 1 2 2 1 2 3 2 2 4 0 4 0 2 2 2 2 4 0 1 3 2 0 2 1 1 2 0 1 2 3 3 2 3
## [445] 4 2 1 2 2 1 3 2 2 2 2 0 2 2 4 2 0 2 1 0 0 2 2 3 3 2 1 2 1 2 0 0 2 6 4 0 1
## [482] 0 1 1 1 1 1 2 3 4 2 3 2 2 4 4 2 1 2 0 3 2 4 3 1 1 4 3 1 2 2 2 0 1 1 1 2 0
## [519] 3 5 3 3 4 3 1 4 4 3 4 3 4 4 1 1 2 0 5 0 0 2 3 0 2 4 3 2 5 4 1 1 2 2 0 3 2
## [556] 3 1 1 3 2 5 1 1 2 3 4 3 1 2 3 2 0 1 0 0 1 2 4 1 4 3 4 4 3 2 1 0 1 3 0 3 0
## [593] 2 2 0 2 2 2 0 2 1 0 2 3 2 3 2 1 2 2 5 0 2 2 2 3 2 0 2 6 2 2 2 2 3 1 2 1 2
## [630] 2 2 2 5 3 1 2 3 2 3 3 1 2 0 3 1 1 3 2 1 4 3 4 3 3 2 2 1 3 1 5 5 3 2 4 4 2
## [667] 3 2 2 4 1 3 2 2 3 3 1 2 2 2 2 1 4 3 2 4 3 1 2 2 1 3 3 1 2 0 4 7 2 1 1 2 7
## [704] 2 2 1 1 2 2 3 0 2 3 3 2 2 3 2 2 2 3 3 2 3 3 1 1 1 2 3 0 4 3 1 2 4 2 0 3 1
## [741] 1 4 1 2 2 0 2 1 2 1 2 3 1 3 4 1 2 0 1 2 1 3 4 0 1 2 1 1 2 2 2 2 0 1 2 1 2
## [778] 4 1 2 2 1 3 3 5 3 1 2 0 0 0 4 1 4 1 1 3 0 0 1 0 5 2 1 0 2 1 0 2 1 1 2 3 0
## [815] 2 2 3 2 4 1 3 3 4 3 1 2 4 2 3 2 2 2 3 4 2 2 1 2 1 2 3 1 1 0 1 0 1 2 0 3 1
## [852] 2 3 1 1 0 1 1 1 2 2 2 1 0 3 1 3 2 1 1 4 1 2 2 2 0 1 4 3 2 1 0 3 1 1 3 1 2
## [889] 3 3 1 1 1 0 5 0 5 1 1 2 0 2 4 1 4 1 2 2 3 1 0 4 3 1 3 2 1 4 1 1 3 1 1 4 2
## [926] 0 1 1 4 3 2 2 4 2 2 1 0 2 0 1 2 2 5 2 1 3 3 3 2 2 0 2 2 1 2 2 2 1 0 0 4 3
## [963] 4 1 3 1 0 2 3 1 0 2 3 2 3 0 3 2 1 1 1 4 1 3 6 3 1 0 1 1 4 2 1 3 2 1 2 2 1
## [1000] 1sum(tickets)## [1] 1997barplot(table(tickets),
main = "Tickets escalados en 1000 horas",
xlab = "Número de tickets escalados en una hora",
ylab = "Frecuencia",
col = "orange")
Conclusión
En base a las simulaciones realizadas en R se comprobó que las distribuciones de probabilidad permiten representar de manera realista fenómenos asociados al soporte técnico, como la llegada de solicitudes, los tiempos de espera, la duración de las atenciones y el escalamiento de tickets. Esto nos demuestra la utilidad de la simulación para analizar y comprobar el comportamiento de sistemas aleatorios y garantizar la toma de decisiones en contextos prácticos o comunes.