Final answer:
After the death of a family member, a nurse may suggest that a parent will notice the child exhibits changes in sleeping patterns. This is due to the child's sense of change and emotional distress.
Step-by-step explanation:
The behavior that a nurse may suggest a parent will notice in their 2-year-old child after the death of a family member is that the child exhibits changes in sleeping patterns. At this age, children may not fully understand the concept of death, but they can sense changes in their environment and routine, which can affect their sleeping habits among other behavior. It's common for young children to experience disruptions in their sleep due to emotional distress or changes in their daily life.