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In culture A, parents have children until they have a boy and a girl (not necess

ID: 3396610 • Letter: I

Question

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?

Explanation / Answer

In culture A, parents have children until they have a boy and a girl (not necess

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