Mitochondria are unusual among cytoplasmic organelles in carrying a genome of their own, in addition to their distinctive double-membrane, cristae-folded architecture. Evaluate the two statements below on mitochondrial structure and genetics.

• Statement I: Mitochondria are bound by a double membrane, and the inner membrane is thrown into infoldings called cristae that increase the surface area for ATP synthesis.
• Statement II: The mitochondrial matrix contains single circular DNA, a few RNA molecules, ribosomes, and the enzymes required for the synthesis of some of the organelle's own proteins.