Final answer:
The amygdala is responsible for the immediate awakening when a person hears the cries of their baby.
Step-by-step explanation:
The part of the brain that is responsible for the immediate awakening of a person when they hear the cries of their baby is the Amygdala. The amygdala is an almond-shaped structure located in the temporal lobe of the brain. It plays a crucial role in processing emotions, including fear and the perception of threat. When a person hears the cries of their baby, the amygdala quickly triggers a response to wake the person up and attend to the needs of the baby.