2. SQL (Data Definition Language (DDL) Part). The follow schema and an instance for the Students relation are given. The primary keys are underlined. Students (sid: integer, sname: string, major: string) Takes (sid: integer, cid: string, grade: string) Courses (cid: string, title: string) 50000 David CS 50001 Jones CS 50002 Smith Math 50003 Smith CS 50004 Madayan CS (a) Write a SQL query to find the student IDs for all students in CS program. (b) Write a SQL statement to insert a new record with values (50005, 'Mike', 'CS') to the Students table. (c) Write a SQL statement to delete the records of those students who major in Math. (d) [5 points] If the student whose sid is 50000 and name is David has double majors in both CS and Math. Can we insert a new record with values (50000, David, 'Math) to the original Students table? Explain why