Final answer:
The child should receive the oral polio vaccine, which is safe and effective in preventing polio.
Step-by-step explanation:
The child should receive the oral polio vaccine even if they live with an HIV-infected sibling in the household. The polio vaccine is safe and effective in preventing polio, which is caused by a virus. The Salk vaccine, which contains an inactivated virus, is recommended for children and does not pose a risk of transmission to others.