```{r setup, message=F, warning=F, echo=F}
library(tidyverse)
require(magrittr)
require(plyr)
ggplot2::theme_set(ggplot2::theme_bw())
knitr::opts_chunk$set(fig.align = 'center')
```

Visit [this site](https://rmarkdown.rstudio.com/lesson-1.html) for more information on R Markdown.

***

## Exercise 1

Brief statement of the problem (optional)

### Part (a)

Then, some math:

$$
\begin{aligned}
X \sim N(\mu,1) \implies p_X(x) = \frac{1}{\sqrt{2\pi}}e^{-\frac{1}{2}(x - \mu)^2}
\end{aligned}
$$

### Part (b)

Finally, some code:

```{r}
x <- rnorm(1000, 0, 1)
x %>% data.frame() %>% ggplot2::ggplot() + geom_histogram(aes(x = x))
  
```

## Exercise 2

Repeat...

### Part (a)

### Part (b)

***

