This is really easy stuff for all the stats wizards here, but I'd really appreciate some help please. :yup:

Suppose there's a colony of 3,000 people (men, women and children) sailing on this starship in the middle of nowhere in space. Suppose it's been 2,000 years since they left Earth and that they have birth control onboard such that the population is always kept around this figure of 3,000 people. (The voyage is multi-generational, meaning as one generation dies off, the next one takes over, etc.) The average family profile in this community, is 2 children per couple.

Now, at the end of this 2,000 years of voyaging since leaving Earth, I want to analyse the averages.

1) I take it, the generation now sailing the starship is the 80th generation? Is that right if I assume 25 years per generation, so 2,000/25 = 80?

2) If a preseident ruled the starship from the start, using a succession planning dynasty structure, so that as he grew old and retired, his son took over, etc. If the average rule per president was for 30 years, then would I be right to assume the 66th president is now ruling? (2,000/30 = 66)?

3) How many children can I assume there are in this 3,000 pupulation? Would there be anything radically wrong if I said there's 1,000 men, 1,000 women and 1,000 children?

Thanks very much for any thoughts...