Final answer:
The primary functions of the cerebellum for maintaining a person's sense of balance are processing sensory information and coordinating muscle activity, as well as processing visual information.
Step-by-step explanation:
The primary functions of the cerebellum for maintaining a person's sense of balance are processing sensory information and coordinating muscle activity, as well as processing visual information. The cerebellum receives sensory input from the vestibular system, which includes information about balance and movement. It then coordinates muscle activity to maintain balance and control movement. Additionally, the cerebellum processes visual information to help maintain visual attention during movement.