Question 2.113

2.113 Demographics and new products

Companies planning to introduce a new product to the market must define the “target” for the product. Who do we hope to attract with our new product? Age and gender are two of the most important demographic variables. The following two-way table describes the age and marital status of American women.23 The table entries are in thousands of women.

Marital status
Age (years) Never
married
Married Widowed Divorced
18 to 24 12,112 2,171 23 164
25 to 39 9,472 18,219 177 2,499
40 to 64 5,224 35,021 2,463 8,674
≥ 65 984 9,688 8,699 2,412
  1. Find the sum of the entries for each column.
  2. Find the marginal distributions.
  3. Find the conditional distributions.
  4. If you have the appropriate software, make a mosaic plot.
  5. Write a short description of the relationship between marital status and age for women.