$($e$)$ 'Imagine a dictionary with the structure student$\_$id:$[$student$\_$major, student$\_$cgpa$].$ Assume majors are represented by strings like 'CoE', 'EEE', etc. Now define a function avg$\_$cgpa$\_$by$\_$major that takes such a dictionary and a string for major as inputs and returns the average cgpa for all students with that major.

Sample input$/$Output:

In$\_1=\{41251$:$[\text{'}$CoE$\text{'},2\mathrm{.}5],42509$:$[\text{'}$EEE$\text{'},3\mathrm{.}1],41713$:$[\text{'}$CoE$\text{'},1\mathrm{.}9],41101$:$[\text{'}$CoE$\text{'},2\mathrm{.}7]\}$

print$($avg$\_$cgpa$\_$by$\_$major$($In$\_1,$"CoE"$))$

$2\mathrm{.}36$

$($f$)$ Define a function called search$\_$dict which will take a dictionary and a number as arguments. It will search through dictionary's values, and return True if that number appears in the dictionary as an integer or as a string

Sample input$/$Output:

d$1$ 'Ahmet': $10,$ 'Zeynep': $\text{'}5\text{'},$ Mehmet: $\text{'}2\text{'}$