If I am given the responsibility for a task, then I should be held accountable for the outcomes.

The answer to this statement is true. It is because if a person has been assigned on a specific task or job in which he or she agrees to do it, then it is likely that he or she has the responsibility for the task and to be held accountable for it whatever the outcomes because of the main reason that he or she agrees to do it and that he or she has the responsibility of taking charge of the task.