Final answer:
Toxoplasmosis is the correct answer to the question regarding the protozoan infection associated with AIDS, as it can cause pneumonitis, hepatitis, and encephalitis in immunocompromised individuals.
Step-by-step explanation:
The protozoan infection associated with AIDS that produces pneumonitis, hepatitis, and encephalitis is Toxoplasmosis. Toxoplasmosis is an infection caused by the protozoan Toxoplasma gondii. It can cause serious health problems for those who are immunocompromised, such as people with AIDS, leading to conditions such as pneumonitis (lung inflammation), hepatitis (liver inflammation), and encephalitis (inflammation of the brain). Domestic cats are the definitive host of this protozoan, and the infection can be transmitted through contact with cat feces or by consuming unwashed fruits and vegetables, undercooked meat, or water contaminated with T. gondii.