PROBLEM $1$ In MATALB, $1)$ Degine a vector. $x$ that contains numbers, starting from $12$ to $102$ with an increment of $3\mathrm{.}2)$ What is the size of the vector $x?3)$ Is it a row or column vector? $4)$ Calculate the sum of the even$-$numbered elements of the vector $x.5)$ Calculate the sum of the last $10$ elements of the vector $x.$ Hint: Use "sum" matlab to calculate the sum of a vector.

PROBLEM $2$

Bivariate data include each of two variables, where each value of one of the variables is paired with a value of the other variable. One of the bivariate data examples are shown below, which present the number of hours studied per week and the corresponding GPA for students in a certain class. $1)$ Define a column vector $x$ for the "Hours" varialbe and a column vector $y$ for the "GPA" variable. $2)$ Sort the table $($i$.$e$.,$ the vectors $x$ and $y)$ based on the ascending order of the GPA. The order of hours must match the order of the GPA. $3)$ Define a vector, $"$g$35"$ that only contains GPA variable that is greater or equal to $3\mathrm{.}5.$ Make sure to use "Relational Operations" to select elements that satisfy the inequality conditions. $4)$ What is the average hours that a student with $3\mathrm{.}5+$ GPA studies per week? $($Use Matlab function, "mean" to compute the average$).$

$\backslash$table$[[$Hours$,$GPA$],[6,3\mathrm{.}2],[9,3\mathrm{.}8],[10,3\mathrm{.}9],[13,3\mathrm{.}6],[6,2\mathrm{.}5],[5,2\mathrm{.}7],[7,2\mathrm{.}9],[19,3\mathrm{.}9],[20,3\mathrm{.}8],[14,3\mathrm{.}4],[10,3\mathrm{.}1],[7,2\mathrm{.}6],[4,2\mathrm{.}2],[8,2\mathrm{.}9],[4,3\mathrm{.}2]]$