A rural community in Queensland was estimated to have a population of 73,000 during a census conducted on January 1^st2016. Of these, 3600 people were known to have been diagnosed with type 2 diabetes before this day. During 2016, the entire community was followed and 230 new cases of type 2 diabetes were diagnosed.

(a) "What was the prevalence of type II diabetes in this communityon January 1^st2016?"[2 Marks]

(b) "What was the prevalence of type II diabetes in this communityon 30^thof December2016?"[2 marks]

(c) What wasthe cumulative incidenceof type II diabetes in this community during 2016?"[4 marks]

(d) It appeared that not all the people at risk were followed for the entire period. During 2016 about 5,000 people from the entire community either died or left the area to a different state, and assume that the cases of diabetes were healthy at least half of the year what wasthe person-time of observationfor this community cohort[4 marks]