(a) The Retirees Advisory Committee is composed of the following seven members appointed by the trustee:
(1) one member who is an active school administrator;
(2) one member who is a retired school administrator;
(3) two members who are active teachers; and
(4) three members who are retired teachers.
(b) A person is not eligible for appointment as a member of the committee if the person is required to register as a lobbyist under Chapter 305, Government Code.