What kind of eating behavior do people with anorexia nervosa exhibit? Does #1 lead to reduced bone strength?
Anorexia nervosa
People with Anorexia Nervosa restrict food and as a result lack essential nutrients. Many people with Anorexia Nervosa, are at high risk for osteoporosis(and to a lesser extent bulimia nervosa) will have low bone density and consequently reduced bone strength. People with Anorexia Nervosa, are at high risk for osteoporosis. 
Eating disorder characterized by refusal to maintain a healthy body weight, and fear of gaining weight due to a distorted self image
Would a person with Anorexia nervosa be more likely to break a bone than a regular person?