[Exer7-3] Exercise 69 of Book {Devore2017B} P.133
Suppose that $p=P(\text{male birth})=.5$. A couple wishes to have exactly two female children in their family. They will have children until this condition is fulfilled.
- (a) What is the probability that the family has $x$ male children?
- (b) What is the probability that the family has four children?
- (c) What is the probability that the family has at most four children?
- (d) How many male children would you expect this family to have? How many children would you expect this family to have?