Question $7$

In this question, you are asked to plot some histograms and kernel density estimates. We will use the mpg dataset that is

available in the ggplot$2$ library $($you likely saw this dataset in DAT $301$ already$).$ Run the following cell to load the

ggplot$2$ library and preview the first few rows of $mpg$ :

In $[58]$: library$($ggplot$2)$

head $($mpg$)$

A tibble: $611$

Part a$)$

Create a histogram, with appropriate breaks and $x-$ and $y-$limits$,$ for the hwy column of $mpg.$ Additionally, create and plot

three kernel density estimations $($KDEs$)$ of the distribution of hwy : Use a gaussian kernel and bandwidths of $0\mathrm{.}5,1,$

and $2\mathrm{.}5.$ Your final plot should resemble the following:

Histoaram of hwv variable

Hist

$-BW=0\mathrm{.}5$

$-,BW=1$

$BW=2\mathrm{.}5$