Multiple choice

Determine the ratio of the number of people having characteristics X to the number of people having characteristics Y in a population of $100$ subjects from the following table. Having X and Y $10$ Having X but not Y $30$ Having Y but not X $20$ Having neither X nor Y $40$

  1. $4:3$
  2. $3:2$
  3. $1:2$
  4. $2:3$
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A Correct answer
Explanation

People with X = (Having X and Y) + (Having X but not Y) = 10 + 30 = 40. People with Y = (Having X and Y) + (Having Y but not X) = 10 + 20 = 30. Ratio X:Y = 40:30 = 4:3.

AI explanation

We use the provided frequency table to find the total number of subjects possessing each characteristic. The total number of people having characteristic X is the sum of those having both X and Y and those having X but not Y, which equals 10 plus 30 to give 40 people. The total number of people having characteristic Y is the sum of those having both X and Y and those having Y but not X, which equals 10 plus 20 to give 30 people. The ratio of people having X to people having Y is 40 to 30, which simplifies to 4 to 3.

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