$1.$ Create a procedure called $($sumEven lst$),$ where lst is a list of numbers. The procedure should

return the sum of all even numbers in the input list. When the list is empty, the result should be

$0.[10$ points total$]$

$1\mathrm{.}1)$ Use a named procedure called $($sumEven lst$)$ to implement this task. $[5$ points$]$

Test case: $($sumEven $\text{'}(13-456-7))2$

$1\mathrm{.}2)$ Use an unnamed procedure to directly implement this task. It will be something like:

$(($lambda $($lst$)($add your code here$)\text{'}(13-456-7))$ where the list $\text{'}(13-456-7)$ is the argument.

$[5$ points$]$

$2.$ Create a procedure called $($list$-$push$-$back lst new$-$list$)$ that adds the elements from new$-$list to

the back of lst$.$ Sample output: $($list$-$push$-$back $\text{'}(437129)\text{'}(12)$ should give $\text{'}(43712912)[5$

points$]$

$3.$ Create a procedure called $($list$-$push$-$front lst new$-$list$)$ that adds the elements from new$-$list

to the front of lst$.$ Sample output: $($list$-$push$-$front $\text{'}(437129)\text{'}(12)$ should give $\text{'}(1243712$

$9)[5$ points$]$

$4.$ Create a procedure called $($list$-$draw$-$front n lst$)$ that returns the first n items in the lst$.$

Sample output: $($list$-$draw$-$front $3(437129))$ should give $\text{'}(437).[5$ points$]$

$5.$ Create a procedure called $($list$-$draw$-$back n lst$)$ that returns the last n items in the lst$.$ Sample

output: $($list$-$draw$-$back $3(437129))$ should give $\text{'}(129).$ Do not use list$-$tail. $[5$ points$]$

$6.$ Create a procedure called $($list$-$shuffle lst$1$ lst$2)$ which returns the perfect shuffle of two lists.

The perfect shuffle of two lists is a new list created by alternately picking elements from one of

the two input lists. Since it is a perfect shuffle, assume both lists have the same length. Add

comments to describe how your algorithm for generating the perfect shuffle works. Sample

output: $($list$-$shuffle $\text{'}(12)\text{'}($a b$))$ is $\text{'}(1$ a $2$ b$).[20$ points total; $15$ points for implementation, $5$ for

comments.$]$

There is no explicit requirement to use let$-$form in these problems. It is something you should

use as it is appropriate to create and bind names in a local scope.

$($Hint: one of the list operations might be really easy to do$...)$