A department store is planning its next advertising campaign. Since different publications are read by different market segments, they would like to know if they should be targeting specific age segments. The results of a marketing survey are summarized in the following table by Age and Shopping Frequency at their store.

a) Find the marginal distribution of Shopping Frequency.
b) Find the conditional distribution of Shopping Frequency within each age group.
c) Compare these distributions with a segmented bar graph.
d) Write a brief description of the association between Age and Shopping Frequency among these respondents.
e) Does this prove that customers ages 50 and over are more likely to shop at this department store? Explain.

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Age Shopping Under 30 30-49 50 and Over Total 95 232 147 474 27 48 23 98 37 91 51 179 31 93 73 197 ELow Moderate E High Total