Instructions. Please write code in a Python notebook to complete the follow- ing tasks. Task 1 (10 pts). Define a Student class with the following attributes: name: str cwid: str (like your MSU id, it starts with letter M and has 8 digits after it) grades: a list of letters that represents the letter-based grade, (A, B, C, D, and F) gpa: float The constructor takes the name as argument and generates cwid and grades by calling the functions implemented in Task 2 - 4. Task 2 (10 pts). Implement a private function named generate cwid that generates a random cwid. Note that the first digit in a cwid should not be 0. (Hint: use itertools.combinations with replacement()). Task 3 (10 pts). Implement a private generator function named gener- ate grade that returns a random grade in the set of (A, B, C, D, and F). Task 4 (10 pts). Implement a private function named generate grades that returns a list of letter-based grades. The list can have more than 10 grades, but it should include 10 non-F grades. This simulates the situation where a student fails a course, he/she will need to take one more course to make up the credits. Task 5 (10 pts). Write a function named calculate gpa to update the students gpa based on the course grades. Assuming each course is 3 credits. The schema to translate letter-based grade to numeric grade is A: 4.0 B: 3.0 C: 2.0 D: 1.0 F: 0.0 Task 6 (10 pts). Implement the magic str function to return the string representation of a student in the format of name (cwid): gpa. Task 7 (20 pts). Outside the Student class, implement a function named simulate students that Generate 10 students (you are free to provide the names) Print all students based on their GPA from the highest to the lowest If any student has a GPA lower than 2.0 or has failed more than 2 courses, raise an exception where the error message includes the number of students that fall into this case, as well as a list of their cwid. Call the function to show the output and exception if any. Task 8 (10 pts). Provide type hint for each function. Task 9 (10 pts). Provide docstring for each class and function.