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$[5]$

ii$.$ example$[-3]$

iii. example$[$c$(1,4,5)]$

iv$.$ example$[2$:$4]$

v$.$ example$[-$c$(3,6,7)]$

$($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$[1,3,5,6]$