(a) In the exercise of any authority under this part, a judge may appoint a master to do all of the following:
(1) Conduct hearings on the record as to all or specific issues in probate cases as assigned by the judge;
(2) Make written reports including findings of fact and conclusions of law; and
(3) Propose a recommended decision to the judge.
(b) When the master files a report under this section, the master must also mail a copy of the report and recommended decision to all interested parties.