tuto_2_estim_simu.Rmd: fix few typo

tutorial_2_estimation_simulation/tuto_2_estim_simu.Rmd

@@ -179,7 +179,7 @@ Use R functions to generate random values drawn from the Uniform and Gaussian di
 **Hint:**
 
 ```{r eval=FALSE}
-# Uniform U[1, 10]
+# Uniform U[0, 10]
 obs <- runif(n = 100, min = 0, max = 10)
 # Gaussian N(3, 4)
 obs <- rnorm(n = 100, mean = 3, sd = 4)
@@ -201,7 +201,7 @@ mean(obs)
 var(obs)
 ```
 
-- Gaussian $\NN(3, 4)$: mean $= 3$ and variance $= 4$
+- Gaussian $\NN(3, 4)$: mean $= 3$ and standard-deviation $= 4$
 
 ```{r}
 # random data
@@ -250,10 +250,10 @@ Because of the variability due to the randomness of the sampling.
 
 
 <div class="pencadre">
-We generate multiple random samples of size 100 following the same $\UU[1,10]$ uniform distribution and we compute the empirical mean for each sample. What do you see?
+We generate multiple random samples of size 100 following the same $\UU[0,10]$ uniform distribution and we compute the empirical mean for each sample. What do you see?
 
 ```{r}
-mean_estim <- replicate(1000, mean(runif(n = 100, min = 1, max = 10)))
+mean_estim <- replicate(1000, mean(runif(n = 100, min = 0, max = 10)))
 hist(mean_estim)
 ```