- Calcular la probabiliadd de que X sea menor o igual a 20
pnorm(20, mean = 20, sd = sqrt(36))
## [1] 0.5
- Calcular la probabilidad de que X se encuentre entre 25 y 27
pnorm(27, 20, 6) - pnorm(25,20,6)
## [1] 0.08065588
- ¿Cual es el valor de X que deja un 80% por debajo de él?
qnorm(0.80, mean = 20, sd= 6)
## [1] 25.04973
- Genera un conjunto de datos de 100 con la misma media y varianza
rnorm(100, mean=20, sd=6)
## [1] 13.012768 24.610944 24.209888 12.610309 25.162390 24.724670 27.088437
## [8] 13.713465 22.380826 21.990813 18.235730 20.585874 17.625288 12.842361
## [15] 8.309042 26.344618 7.716016 11.568321 8.952718 17.187310 21.488761
## [22] 3.722117 22.301710 24.552408 25.917792 25.169411 22.659161 14.834312
## [29] 19.986686 11.012711 20.240691 26.653891 17.192805 14.013497 13.527639
## [36] 26.318107 20.857315 17.840579 3.658268 23.575229 27.019080 21.802174
## [43] 19.416275 18.441470 22.981036 1.803287 21.783460 34.864043 27.574640
## [50] 24.906527 17.667201 15.543886 16.280327 16.440153 21.533432 24.040713
## [57] 20.999917 18.551694 13.380643 20.760780 28.243424 22.981567 11.809717
## [64] 17.672813 30.456301 26.518495 19.927780 22.967562 35.915365 25.285597
## [71] 15.524216 20.331972 26.920977 6.257998 29.610647 11.713752 14.515387
## [78] 22.994673 25.081899 23.905383 20.207685 22.950435 26.813822 15.834225
## [85] 22.472208 31.589992 33.055400 26.555330 9.242654 20.497122 13.701370
## [92] 14.626528 22.163554 12.880846 13.781233 18.112949 19.180721 20.007461
## [99] 21.071519 15.357928
- Construya una campana de Gauss para los datos
curve(dnorm(x, mean=20, sd= sqrt(36)), xlim = c(0,40), xlab="Valores de x", ylab= "Densidad de X")
