First Officer reports failure of ground personnel to abide by restricted safety areas around the aircraft's landing propeller.

Narrative

We had finished powering into the gate and had come to a complete stop. Just prior to engine shutdown; I witnessed a ramp service person walk right through the middle of the no transgression zone outlined clearly in red tape. This ramp agent was walking from aft to front of the aircraft; and never lifted her head up from looking down to be cognizant of her surroundings. She proceeded in a straight path into the ramp personnel area inside the terminal. There was no time to alert her; of her very close position (within 3 feet in from my vantage point) to the spinning propeller. By the time I reacted to the situation; she had passed though the area unaffected. I notified the Captain; and he spoke to her inside the ramp operations room within a few minutes of aircraft shut-down. I asked about the situation when he returned; and he informed me that she blankly stared at him and did not speak. He also informed me that he informed the manager on duty in the operations room. The ramp area is a particularly dangerous and demanding work place. The highest level of training and safety must be paramount. Keeping your 'heads up' attitude is crucial for the protection of others as well as your own personal well-being.