Not familiar with that particular part of Olympia, but having lived in both Maryland (DC metro) and lived in the Olympia/Seattle corridor, I doubt you have anything to worry about safety-wise. It's Olympia, it's small, it's the state capital. For comparison, I'd argue plenty of places in Annapolis or Frederick/Ft Detrick are less safe than any spot you will find in Olympia.
Images of the apt complex here:
http://www.forrent.com/apartment-community-profile/1008041.php
and some reviews here:
http://www.apartmentratings.com/rate/WA-Olympia-Cambridge-Court-Apartments.html
Reviews seem to be a mixed bag, some loved it, more seemed to have thought the managment is terrible.
For what it's worth, you could check out the craigslist housing list for olympia (olympia is listed as a part of the seattle/tacoma region and NOT as part of the olympic penninsula):
http://seattle.craigslist.org/oly/hhh/
Enjoy the area. Summers are gorgeous. Winters are .... wet and grey.