Seems correct. Although in practice there will only be so many children, so a parameter will only be approximated by a population, the expected value can be figured exactly.>>3258 >>3254
Right, the government might (and mostly did) simply limit families to one child. In which case if they got a girl, better luck next lifetime, I guess. In letting parents have children until they get a boy, some control is placed on population -- parents might really want several boys -- but parents at least won't miss out on having a boy. To be honest, I'm not well versed in the history of China, but I think both versions happened, at least in some part, at least for some period of time.>>3264
I thought not giving the sex ratio of a birth might be an issue, although people have assumed 1:1 which was fine. Solving for an arbitrary ratio would be fine as well. Noted I should have said "Parents want families consisting of more than one boy." I guess one can't change the past, so one will change the future.
Logic Exercise 2:
In China, parents want families consisting of many boys. The government wants to limit births, so they compromise: parents may have children until they get a boy. For simplicity, we'll say every family has one boy and however many girls preceded that boy. At birth, the sex ratio may be assumed to be 1:1 -- that is 50% chance of male, 50% chance of female -- but arbitrary ratios may be used as well. What is the sex ratio of Chinese children (and please specify if not using a 1:1 birth ratio)?>>3272>finding the area compounded by
I convinced myself I can show convergence of the series, but it would be a bit long to type out. You mention area -- did you compute a integral?