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

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 8 policy holders are married women under the age of 30 How many of the policy holders are unmarried women? How many of the policy holders are married men under age 30? How many of the policy holders are unmarried men age 30 or more? How many of the policy holders are married women age 30 or more? How many of the policy holders are unmarried and over 30?

Explanation / Answer

a)

Given that

there are 67 total women policy holders

31 married women

Hence Unmarried women are 67-31 = 36

b)

Given that

There are 25 policy holders married under age 30

8 policy holders women married under age 30

Hence the policy holders men married under age 30 are 25-8 =17

c)

GIven that

There are 89 policy holders under 30 in which women are 35 hence men are 54

115 men policy holders hence all the men age more than 30 are 115 - 54 = 61 men

17 men married under age 30 and totla 31 men are married

Hence there are 14 men policy holders mariied above age 30

Hence 61 -14 = 57 unmarried male policy holders of age 30 and more

d)

Given that

There are totally 62 women policy holders

31 married women policy holders

in which 8 are of age below 30

Hence married women of age 30 or more is 31 - 8 = 23

e)

As from c) there are 57 male unmarried policy holders of age 30 or more

From the given data

Totally there are 31 female married in which 8 are under 30 age hence 23 above age of 30 are married

35 women policy holders are under age 30 from the 67 women policy holders hence there are 32 women

having age of 30 or more

hence from the above two statements unmarried women of age 30 or more = 32 -23 = 9

total is 57 + 9 =66 unmarried policy holders of age 30 or more

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