MA 1761 ELEMENTARY STATISTICS Assignment 2 (20 marks) A market research team from USM is assigned the task to identify the profile of the typical customer for each treadmill product offered by Fitness Concept. The market research team decides to investigate whether there are differences across the product lines concerning customer characteristics. The team decides to collect data on individuals who purchased a treadmill at a Fitness Concept at Queenbay Mall store during the prior three months. The data are stored in the FitnessConcept file. The team identifies the following customer variables to study: product purchased TM195, TM498, or TM798; gender; age in years; education in years; relationship status single or partnered; annual household income (RM); the average number of times the customer plans to use the treadmill each week; the average number of miles the customer expects to walk run each week; and self-rated fitness on a 1-to-5 ordinal scale, where 1 is the poor shape, and 5 is excellent shape. a. Construct three (3) two-way contingency tables. For each table you construct, compute all conditional and marginal probabilities. b. For each Fitness Concept treadmill product line, describe and explain whether the age, income, usage, and the number of miles the customer expects to walk run each week can be approximated by the normal distribution. C. Write a report to be presented to the management of the Fitness Concept, detailing your findings