$1$ Consider the following R commands and output:

$>$ x $<$ rnorm $($ n$=100,$ mean$=100,$ sd$=5)$

$>$ par$($ mfrow$=$c $(1,2))$

$>$ h i s t $($ x $)$

$>$ bo xplo t $($ x $)$

$>$ sd $($ x $)$

$[1]4.647238$

$2\mathrm{.}1\mathrm{.}1$ Describe what the first line of code does in this code snippet. $[2]$

$2\mathrm{.}1\mathrm{.}2$ What is the purpose of par$($mfrow$=$c$(1,2))?[1]$

$2\mathrm{.}1\mathrm{.}3$ After executing the code, two plots are created. Describe what each plot visually represents in terms of the distribution of x$.[4]$

$2\mathrm{.}1\mathrm{.}4$ Given that the standard deviation of x is approximately $4\mathrm{.}65,$ what does this suggest

about the spread of the values around the mean