x<-rnorm(1000)
y<-exp(x)
z<-dlnorm(y, 3, 2)
plot(y,z)

Simulando cinco variáveis log-normal:

rlnorm(5,3,2)
## [1] 164.707478 161.340516  15.362565   4.719804  27.783363

Para \(y^3\):

y3<-z^3
plot(y,y3)