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  A geriatrician wanted to study the problem of diabetes in a nursing home. The nursing home had 300 residents. Among these, 30 residents were already diagnosed as diabetic, and 20 more residents were diagnosed as diabetics after blood glucose and HbA1c tests on Jan 1, 2016. Blood work up was done at 6-month intervals and 50 residents were diagnosed with diabetes over the course of 12 months. What is the incidence rate of diabetes in the nursing home population in the year 2016?