Understanding $R$ input: A student writes the following line of $R$ code:

example $=c(1,5,-4,3,-2,8,13,-2)$

$($a$)(0\mathrm{.}5$ pts each$)$ Give the output of the following $R$ commands.

i$.$ example $[4]$

ii$.$ example $-2$

iii. example $c(1,3,5)$

iv$.$ example$[4$:$6]$

v$.$ example $-c(4,6,7)$

$($b$)(0\mathrm{.}5$pts each$)$ Explain why each of the following commands will throw an error.

i$.$ Example$[5]$

ii$.$ example $[9]$

iii. example $1,3,5,6$