In a survey of 182 insurance policies, the following data was obtained. 67 polic

Question

In a survey of 182 insurance policies, the following data was obtained. 67 policy holders are female. 89 policy holders are under age 30. 62 policy holders are married. 35 policy holders are women under age 30. 31 policy holders are married women. 25 policy holders are married and under age 30. 25 policy holders are married women under the age of 30. 8 p0licy holders are married women under the age of 30. (a) How many of the policy holders are unmarried women? (b) How many of the policy holders are married men under age 30? (c) How many of the policy holders are unmarried men age 30 or more? (d) How many of the policy holders are married women age 30 or more? (e) How many of the policy holders are unmarried and over 30?

Explanation / Answer

(a)women=67, married women=31

unmarried women = 67-31 = 36

(b)married under 30 = 25, married women under 30 = 8

married men under 30 = 25-8 = 17

(c)married men = total married - married women = 62 - 31= 31

married men age 30 or more = married men - married men under 30 = 31 - 17 = 14

(d)married women = 31

married women under 30 = 8

married women age 30 or more = 31 - 8 = 23

(e)married and over 30 = total married - married under 30 = 62 - 25 = 37

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