Please Solve the following using RSTUDIO coding language Q$4$ ABCDEQuestion $4(9$ points$)$

$4($a$)1pt$

Set the seed to the final two digits of your Banner number and generate $100$ values from a normal distribution

with mean $0$ and variance $3.$

$4($b$)$ pts$]$

Use the values generated in $($a$)$ to form a matrix, called $m,$ with $5$ rows and $20$ columns $($values entered by

row$).$ Then, calculate $m^{\text{'}}m,$ i$.$e$.,$ the transpose of matrix $m$ multiplied by $m.$

$4($c$)$ pts$]$

Use the apply function on $m$ to calculate the $90$th percentile for each row. Hint: use the quantile function.

Compare these values to the true $90$ th percentile of this distribution.

$4($d$)$ pts$]$

Create a three$-$element list. The first element should be the second and forth rows of $m.$ The second element

should be the last two rows of $m.$ The third element of the list should be the vector with elements equal to

the $90$th$,95$th$,$ and $99$th sample percentiles of the entire matrix $m.$ Check that your list is of length $3.$

$4($e$)1pt$

Use the lapply function to return the maximum of each element of your list. $($In the question that says banner number use any two digit number you can think of as an example$)$