Does having boys run in the family? Chance (Fall 2001)

reported that the eight men in the Rodgers family produced 24 biological children over four generations. Of these 24 children, 21 were boys and 3 were girls. How likely is it for a family of 24 children to have 21 boys?

Use the binomial distribution and the fact that 50% of the babies born in the United States are male to answer the question. Do you agree with the statement, “Rodgers men produce boys”?