Gender in two-child families. Refer to the Human Biology (Feb. 2009) study on the gender of… 1 answer below »

Gender in two-child families. Refer to the Human Biology (Feb. 2009) study on the gender of children in two-child families, Exercise 4.25 (p. 188). Recall that the National Health Interview Survey (NHIS) of almost 43,000 two child families yielded the following table. You used this information in Exercise 4.25d to find the probability distribution for x, the number of boys in a two-child family. Find E (x) and give a practical interpretation of its value.

Exercise 4.25

Gender in two-child families . Human Biology (Feb. 2009) published a study on the gender of children in two-child families. In populations where it is just as likely to have a boy as a girl, the probabilities of having two girls, two boys, or a boy and a girl are well known. Let x represent the number of boys in a two-child family.

a. List the possible ways (sample points) in which a two child family can be gender-configured. (For example, BG represents the event that the first child is a boy and the second is a girl.)

b. Assuming boys are just as likely as girls to be born, assign probabilities to the sample points in part a. c. Use the probabilities, part a, to find the probability distribution for x.

d. The article reported on the results of the National Health Interview Survey (NHIS) of almost 43,000 two child families. The table gives the proportion of families with each gender configuration. Use this information to revise the probability distribution for x.