This is the 1782nd most frequent Korean word.
책임이
"책임이" means "responsibility" or "accountability."
In this sentence, '책임이 있다' means 'responsibility lies with' or 'one has responsibility for', indicating accountability.
그의 실패에 대해 책임이 있다.
There is responsibility for his failure.
Here, '책임이' is used to describe a quality of the job, meaning 'responsibilities of the job are' heavy.
책임이 무거운 일을 맡았다.
I took on a job with heavy responsibilities.
In this context, '책임이 없는' refers to the state of not having responsibilities, modifying the subject's behavior.