The department shall cause to be issued a restricted license for persons without a driver's license or motorcycle license for all applicants who successfully complete the requirements for a restricted license. Applicants for such license shall be required to pass a written examination prepared by the director. No person shall drive a moped on a way of this state unless such person possesses a driver's license or restricted motorcycle license or is duly licensed to drive a moped by a license issued under this section. No person shall knowingly authorize or allow the driving of a moped owned by the person or in his or her charge on a way of this state by any person who does not hold a driver's license, a motorcycle license, or a moped restricted motorcycle license.