In the starling population of Exercise 3.5.1, there are 22,435 young in all the broods taken together. (There are 90 young from broods of size 1, there are 460 from broods of size 2, etc.) Suppose one of the young is to be chosen at random, and let Y' be the size of the chosen individual's brood.
(a) FindPr{Y' = 3}.
(b) FindPr{Y' ≥ 7}.
(c) Explain why choosing a young at random and then observing its brood is not equivalent to choosing a brood at random. Your explanation should show why the answer to part (b) is greater than the answer to part (b) of Exercise 3.5.1.