The next $5$ questions use the "murder" dataset from the "wooldridge"package in R$.$

To use this dataset, follow the codes below.

install.packages$("$wooldridge$")$library$("$wooldridge$")$

data$($murder$)$

help$($murder$)$

Read the help file to familiarise yourself with the variables.

$1.$How many states executed at least one prisoner in $1991,1992$ or $1993$

$($The answer should be an integer with no punctuation marks$)$

$2.$Which state had the most executions in those three years?

$($The answer should be the full name of the state with no punctuation marks$)$

$3.$Using the two years $1990$ and $1993,$ run a regression of mrdrte on exec. What is the estimated coefficient on exec?$($The answer should be correct to $2$ decimal places, e$.$g$.,0\mathrm{.}12,$ with no punctuation marks$)$

$4.$What is the interpretion of the above estimate?

$5.$Using the changes from $1990$ to $1993$ only $($ for a total of $51$ observations $),$ estimate the question using the equation in the picture provided below by OLS. Now, does capital punishment appear to have a deterrent effect? Explain.