Problem $3$:

Analyze the following description and draw state diagram of University Management System for the process of getting a undergraduate degree for a student. The components of the diagram is listed below.

Admission Process: The student applies for admission to the university.

Enrolled: The student has been accepted and is officially enrolled at the university.

Course Registration: The student registers for classes.

Taking Classes: The student is actively taking courses.

Pass Courses: After successfully completing courses, the student progresses in their academic standing.

Fail Courses: If the student fails, they may be put on academic probation.

Academic Probation: The student must improve their grades to continue.

Dismissed: If the student fails to improve their grades, they may be dismissed from the university.

Advanced Standing: The student has progressed to a point where they are nearing completion of their degree requirements.

Eligible for Graduation: The student has met all requirements to apply for graduation.

Graduated: The student has fulfilled all requirements and is awarded their undergraduate degree.

Alumni Status: The student becomes part of the university's alumni.

End of University Experience: The student's journey at the university ends without graduation, either due to dismissal or voluntary leave.

This state diagram is quite simplified and does not cover all possible states or transitions $($such as taking a leave of absence$,$ transferring between programs, or participating in extracurricular activities$)$