The answer is (C): after cycling through the NREM sleep stages.
Explanation for each option:
(A) immediately after falling asleep: This is incorrect. REM sleep does not occur immediately after falling asleep. The sleep cycle begins with NREM stages.
(B) after the dream stage is completed: This is incorrect. REM sleep is often associated with dreaming, so it does not occur after the dream stage; it is the stage where dreaming is most likely to happen.
(C) after cycling through the NREM sleep stages: This is correct. A typical sleep cycle starts with NREM sleep, which includes stages 1, 2, and 3, before transitioning into REM sleep.
(D) soon after falling asleep and then remain there for the majority of the night: This is incorrect. REM sleep occurs after NREM stages and does not dominate the majority of the night. It occurs in cycles, with each REM period getting longer as the night progresses.
In summary, an adult with a healthy sleep cycle is most likely to enter REM sleep after cycling through the NREM sleep stages.