Probability of first marriage among women. A National Center for Health Statisti

Question

Probability of first marriage among women. A National Center for Health Statistics (NCHS) brief report by the Centers for Disease Control and Prevention (CDC) in 2009 identified that about 6% of women in the United States mar- ried for the first time by their 18th birthday 50% married by their 25th birthday, and 74% married by their 30th birthday. Based on these data, what is the probability that in a family with two daughters, the first and second daughter will be married by each of the following ages? la) 18 years of age b) 25 years of age c) 30 years of age 2 9 9

Explanation / Answer

Question 31

Pr(A women in US married till 18th birthday) = 0.06

Pr(A women in US married till 25th birthday) = 0.50

Pr(A women in US married till 30th birthday) = 0.74

(a) Pr(Both daughters are married 18th birthday) = 0.06 * 0.06 = 0.0036

(b) Pr(Both daughters are married 25th birthday) = 0.50 * 0.50 = 0.25

(c) Pr(Both daughters are married 30th birthday) = 0.74 * 0.74 = 0.5476

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