A researcher at a marketing firm examines whether the age of a consumer matters when buying athletic clothing. Her initial feeling is that Brand A attracts a younger customer, whereas the more established companies (Brands B and C) draw an older clientele. For 600 recent purchases of athletic clothing, she collects data on a customer's age (Age equals 1 if the customer is under 35, 0 otherwise) and the brand name of the athletic clothing (A, B, or C). A portion of the data is shown in the accompanying table. Purchase Age Brand 1 1 A 2 1 C 600 0 a-1. Construct a contingency table that cross-classifies the data by Age and Brand. Provide the frequencies in the accompanying table. Brand Age A B C ? 35 years old (0) < 35 years old (1) a-2. How many of the purchases were for Brand A? Number of purchases for Brand A a-3. How many of the purchases were from customers under 35 years old? Number of purchases under 35 years old b-1. Given that the customer was younger than 35 years old, what is the likelihood that the customer purchased Brand A? (Report the proportion rounded to 2 decimal places.)
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