How to define the parameter of a function in ggplot2 through the stat="function" method?

I am studying empirical functions in R. In order to achieve a better understanding of the numerical method, I have created my own approximation in R through the following function:

funcao_empirica <- function(x, n=length(x)){
  ##organizamos os valores de x
  x <- sort(x)
  ##garantimos que não hajam valores repetidos
  unicos <- unique(x)
  ##buscamos a imagem dos valores de x
  y <- cumsum(rep(1,n))/n
  ##obtemos as coordenadas de x e y
  coord <- xy.coords(x,y,setLab = F)

  x <- coord$x
  y <- coord$y

  lista <- list(x,y)
  names(lista) <- c("x","y")

  return(lista)
}

I define x as a rnorm(100) , I create a x vector with 100 values of the standard normal.

Because R provides the ecdf function to get the function approximation, I create an empirical function called F:

F = ecdf(rnorm(length(dados$dominio)))

I transform the data of my function into a dataframe to use them in ggplot:

    x <- dados$x
    y <- dados$y

dados <- data.frame(dominio = x, imagem = y)

Now, I plot a line chart for my method, a line chart for the ecdf method, and finally a scatter plot for the data of rnorm :

ggplot(dados, aes(x=x, y=y)) + geom_step(color = 'blue') + stat_function(fun = F, colour = "red") +
geom_point(stat = "function", fun = rnorm)  

Getting the image

As you can see, the scatter data is very scattered, deformatting the image a little, I suspect it's because I'm not setting parameter 100 inside the function.

How do I set the parameter of rnorm equal to 100? Or, if it is not possible, limit the region of the plot between 0 and 1.