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. 85 policy holders are women under age 30. 31 policy holders arc married women. 25 policy holders are married and under age 30. 8 policy 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

Solution:

a) Policy holders are unmarried women = 36

Married women having policy = 31

Total number of females having policy = 67

Policy holders are unmarried women = 67 - 31 = 36

b) Policy holders are married men under age 30 = 17

Total number of policy holders who are married under age of 30 = 25

Total number of policy holders who are married women under age of 30 = 8

Policy holders are married men under age 30 = 25 - 8 = 17

c) Policy holders are unmarried men age 30 or more = 67

Total number of unmarried policy holders = 182 - 62 = 120

Number of unmarried women = 67 - 31 = 36

Number of unmarried men = 120 - 36 = 84

Policy holders are unmarried men age 30 or more =84 - 17 = 67

d) Policy holders are married women age 30 or more = 23

Total number of policy holders who are married women and under age 30 = 8

Policy holders are married women = 31

Policy holders are married women age 30 or more = 31 - 8 = 23

e) Policy holders are unmarried and over age 30 = 90

Number of unmarried women and under age 30 or more = 23

Number of unmarried men and under age 30 or more= 67

Policy holders are unmarried and over age 30 =   67 + 23 = 90

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