In culture A, parents have children until they have a boy and a girl (not necessarily in that order).
In culture B, parents have children until they have 2 boys, regardless of the number of girls.
Assuming children are born one at a time, that boys and girls are equally probable, and that
families can have as many children until they decide to stop, calculate
a.) the expected number of children a culture A family will have
b.) the expected number of children a culture B family will have (hint: condition on the sex of
the first child born)
c.) what is the expected number of boys and girls in each case?
Solution.
In culture A, parents have children until they have a boy and a girl.pdf
1. In culture A, parents have children until they have a boy and a girl (not necessarily in that order).
In culture B, parents have children until they have 2 boys, regardless of the number of girls.
Assuming children are born one at a time, that boys and girls are equally probable, and that
families can have as many children until they decide to stop, calculate
a.) the expected number of children a culture A family will have
b.) the expected number of children a culture B family will have (hint: condition on the sex of
the first child born)
c.) what is the expected number of boys and girls in each case?
Solution
