(1) Every person who shall be convicted of first-degree murder shall be sentenced by the court to imprisonment for life in the custody of the Department of Corrections.
(2) Every person who shall be convicted of second-degree murder shall be imprisoned for life in the custody of the Department of Corrections if the punishment is so fixed by the jury in its verdict after a separate sentencing proceeding. If the jury fails to agree on fixing the penalty at imprisonment for life, the court shall fix the penalty at not less than twenty (20) nor more than forty (40) years in the custody of the Department of Corrections.
(3) Every person who shall be convicted of capital murder shall be sentenced (a) to death; (b) to imprisonment for life in the State Penitentiary without parole; or (c) to imprisonment for life in the State Penitentiary with eligibility for parole as provided in Section 47-7-3(1) (f).