Introduction This assignment will use a database containing data about a university. The relations are provided to you in a separate script file (available on the course website). Create a database called university and then run the script in university-db file. Before you start writing SQL, it is a good idea to take a look at the database and familiarize yourself with its contents. The schema of the database is provided below (primary keys are in bold, field types are omitted): student(sid, sname, sex, age, year, gpa) dept(dname, numphds) prof(pname, dname) course(cno, cname, dname) major(dname, sid) section(dname, cno, sectno, pname) enroll(sid, grade, dname, cno, sectno) Queries Write SQL queries that answer the questions below (one query per question), run them on MySQL, and include the answers in your report. The query answers must not contain duplicates, but you should use the SQL keyword distinct only when necessary. Questions Write the following SQL queries:Using natural joints 1. Print the names of professors who work in departments that have fewer than 50 PhD students. 2. Print the name(s) of student(s) with the lowest gpa. 3. For each Computer Sciences class, print the cno, sectno, and the average gpa of the students enrolled in the class. 4. Print the course names, course numbers and section numbers of all classes with less than six students enrolled in them. 5. Print the name(s) and sid(s) of the student(s) enrolled in the most classes. 6. Print the names of departments that have one or more majors who are under 18 years old. 7. Print the names and majors of students who are taking one of the College Geometry courses. (Hint: You'll need to use the "like" predicate and the string matching character in your query.) 8. For those departments that have no majors taking a College Geometry course, print the department name and the number of PhD students in the department. 9. Print the names of students who are taking both a Computer Sciences course and a Mathematics course. 10. For each department that has one or more majors with a GPA under 1.0, print the name of the department and the average GPA of its majors.