(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.