Acompound sentence contains

two or more dependent clauses.
two or more independent clauses.
two dependent clauses and one independent clause.
two independent clauses and one dependent clause.

The answer is B: two independent clauses

 A compound sentece has at least two independent clauses (clause that have a subject, a verb and a complete thought which means that they can stand by their own). They are not dependent of each other but they have similar ideas.   A coordenator (for, and, but etc) or a semi-colon is used to join two or more independent clauses. The coordenators are coordinating conjunctions.

answer; /// i do believe the correct answer is (c) public education;