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. 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

I have made a table for the given data (Orange Colored) and the data that can just be written as a contrarian (Olive Green Colored) to the given data. We will use that to answer the questions then. Also, I've written the Formulae used to calculate the values for the 5 parts in the question. The symbols denote the coloum numbers ( A - Y ).

The Yellow ones are the 5 parts of the question with the calculations to find the answer.

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