``SID ______________ (40 minutes) Last Name __________ First Name_________ In-class quiz Consider the following relations and use relational algebra to answer all five questions. Students(sid: integer, sname: string, age: real, state: string) Courses(cid: integer, cname:string, credit: integer) Enroll(sid:integer, cid: integer, semester:string, grade:real) You can use S, C, and E to denote the above three tables respectively in your relational algebra expression. 1. (1pts) Find the student names who are from NC and with age above 18. SELECT S.sname FROM Student S WHERE S.state =”NC” and S.age > 18 2. (1pts)Find the student names who enrolled 5160 course in Spring 10 SELECT S.sname FROM Student S, Enroll E WHERE S.sid = E.sid and E.cid = 5160 and E.semester = “Spring 10” 3. (2pts)Find the student names who did not enroll 5160 course in Spring 10 SELECT S.sname DROM Student S WHERE S.sid NOT IN (SELECT E.Sid DROM Enroll E WHERE E.cid = 5160 and E.semester = “Spring 10”) 4. (2pts) Find the student names who have taken all 5000 level courses before Fall 09 SELECT S.sname FROM Student S WHERE NOT EXIST ( SELECT C.cid FROM Course C WHERE C.cid >=5000 AND C.cid<6000 EXCEPT SELECT E.cid FROM Enroll E WHERE E.sid = S.sid AND E.semester < “Fall 09” ) 5. (2pts)For each course with more than 20 students, list the average grade of students. SELECT E.cid, AVG(E.grade) FROM Enroll E GROUP BY E.cid HAVING COUNT(*) > 20 6. (2pts)For each course, list the average grade of students from each state. SELECT E.cid, S.state, AVG(E.grade) FROM Student S, Enroll E WHERE S.sid = E.sid GROUP BY E.cid, S.state