Consider the following relational schema for a library:
Write eh following queries in relational algebra.
a. Find the names of members who have borrowed any book published by "McGraw-Hill".
b. Find the names of members who have borrowed all book published by "McGraw-Hill".
c. Find the name and membership number of members who have borrowed more than five books published by "McGraw-Hill".
d. Find the name and membership number of members who have borrowed more than five different books of that publisher.
e. Find the average number of books borrowed per member. Take into account that if a member does not borrow any books, then that member does not appear in the borrowed relation at all.