Given a 5% employee turnover per year: What is the average tenure time? Is it possible, based on a given turnover rate per year (in %), to calculate the average time (in years) an employee stays in an organization?
I have looked at the Coupon Collector's problem:
https://en.wikipedia.org/wiki/Coupon_collector's_problem
but so far haven't been able to figure this out.
Turnover could basically be calculated like this:
Turnover Calculation

I don't think this has anything to do with the coupon collector problem.
Say the company has $100$ employees. After $1$ year they have employed $100$ people for a total of $100$ person-years. After $2$ years they have employed $105$ people for a total of $200$ person years. After $n$ years they have employed $100+5n$ people for a total of $100n$ person-years. So what is the average number of years worked, if $n$ is very large?
