This means that someone is responsible for your actions. It typically comes up when an employee has done something wrong during the course of his employment. The company he or she works for is naturally responsible for any of his actions done improperly, as long as the wrongdoing was done in the course and scope of his employment.
For example, a nurse in a hospital that gave wrong medication to a patient would be held responsible for any injuries that resulted from that wrondoing. At the same time, the hospital is 'vicariously liable' for the nurse's actions. This means that an injured victim would be able to recover money from the hospital and need not worry whether the nurse had the ability or insurance to pay those damages.