Anemia is a condition that occurs when a person's hemoglobin level drops below a certain threshold. Iron deficiency anemia is a specific type of anemia and can be caused by blood loss, a diet low in iron or poor absorption of iron. Among men, hemoglobin levels ads approximately normally distributed with a mean of 15.5 and a standard deviation of 1.5G/dl of blood. Among women, hemoglobin levels are approximately normally distributed with a mean of 13.8 and a standard deviation of 1.1g/dl of blood.

Women with hemoglobin less than 11.6 g/sl are classified as having iron deficiency anemia. What is the probability that a women has iron deficiency anemia?

suppose that physicians identify people with the lowest decline(10%) of hemoglobin levels as potentially "at risk" for iron deficiency anemia. Report the "at-risk" cut-off hemoglobin levels for men and women separately.