Answer:
The incidence rate of prostate cancer in this population, expressed in terms of 1000 person-years is 7.469
Explanation:
Consider the provided information.
It is given that 38 prostate cancer cases were confirmed at the end of year 1 and the total population was 4,185.
As we need to find the incidence rate of prostate cancer in this population, expressed in terms of 1000 person-years, thus 4185/1000 = 4.185
Thus, the incident rate is: Number of new case/ population of study in 1000.

17 additional cases were confirmed and 5 men had withdrawn from the study at the end of year 2. That means total population is 4185-5=4180
Thus, the incident rate is:

52 additional cases were confirmed at the end of year 3.
Thus, the incident rate is:

19 additional cases were confirmed and 10 men had withdrawn from the study at the end of year 4.
Thus, the incident rate is:

30 additional cases were confirmed and 5 men had withdrawn from the study at the end of year 5.
Thus, the incident rate is:

The average expressed in terms of 1000 person-years

Hence, the incidence rate of prostate cancer in this population, expressed in terms of 1000 person-years is 7.469