If the decedent left behind a Will, the individual appointed as the Executor in that Will is who will oversee the administration of the estate during the probate process. If the decedent died intestate, any competent adult may volunteer to be the Administrator of the estate. If no one volunteers, the court must appoint someone. Ultimately, the court must approve of either an Executor or Administrator. For the most part, the duties and responsibilities of an Executor and Administrator are the same.