Question

The following table shows the marital status of adult women broken down by age group.

	Age
	18-29	30-64	65+	Total
Married	7,800	43,300	8,000	59,100
Never married	13,450	7,200	725	21,375
Widowed	48	2,950	8,050	11,048
Divorced	690	9,000	1,300	10,990
Total	21,988	62,450	18,075	102,513

Please answer with a three decimal accuracy:

a) What is the probability that the woman chosen is young, ages 18 to 29?

b) What is the probability that the woman chosen is between ages 18 to 29 and is married?

c) What is the probability that a woman is married given the information that she is in the age group of 18-29?

d) What is the probability that a woman is a widow, given that she is at least 65 years old?

Answer 1

(a)

P(Age: 18 - 29) = 21,988/102.513 = 0.214

(b)
P(Age:18 - 29 AND Married) = 7,800/102,513= 0.076

(c)
P(Married/Age: 18 - 29) = P(Married AND Age: 18 -29)/P(Age: 18-29)

                                  = 7,800/21,988 = 0.355

(d)
P(Widow/65+) = P(Widow AND 65+)/P(65+)

                     = 8,050/18,075 = 0.445