Three brothers and their wives decide to have children

Chapter 4, Problem 77E

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QUESTION:

Three brothers and their wives decide to have children until each family has two female children. What is the pmf of X = the number of male children born to the brothers? What is E(X), and how does it compare to the expected number of male children born to each brother?

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QUESTION:

Three brothers and their wives decide to have children until each family has two female children. What is the pmf of X = the number of male children born to the brothers? What is E(X), and how does it compare to the expected number of male children born to each brother?

ANSWER:

Answer Step 1 of 3 Let success is the boy Let failure is the girl Here x= the number of male children born Here P is the probability of boy=½ P=½, q=½

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