## The Normal Distribution## The Normal Distribution
The normal distribution is defined as follows:
$$latex
f(x;\mu,\sigma^2) = \frac{1}{\sigma\sqrt{2\pi}} e^{ -\frac{1}{2}\left(\frac{x-\mu}{\sigma}\right)^2 }
$$
To generate random draws from a normal distribution we use the **rnorm** function:
```{r block1}
output <- rnorm(1000, 100, 15);
```
The normal distribution has the typical bell shape:
```{r block2, fig.width=8, fig.height=5}
ggplot2::qplot(output)
```
