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questionsett1

# questionsett1 - ISYE2028 A and B Spring 2009 Question Set 1...

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ISYE2028 A and B Spring 2009 Question Set 1 January 8, 2009 1 The contingency table below yields car type by car color for a number of cars sold at a dealership in February 2004. Car Color Car Type Blue Brown Black Honda 45 25 60 Toyota 50 30 80 Nissan 35 25 75 Answer these questions 1. What is the conditional distribution of Car Type given Car Color is Brown? 2. What is the conditional distribution of Car Color given Car Type is Honda? 3. What is the marginal distribution of Car Color? 4. What is the marginal distribution of Car Type? 1

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2 The following is agricultural data from the year 2035 at a particular hog farm in North Carolina. The data are, in order: part of pig tested for mad cow; pig was fed organic meal?; part tested positive for mad cow? ID Part Organic? Mad Cow? 1 Shank Y N 2 Shoulder N Y 3 Rib N Y 4 Rib N Y 5 Shoulder Y N 8 Rib N Y 9 Shank N Y 11 Shoulder Y N 12 Rib N N 13 Rib Y Y 14 Shoulder Y N 15 Rib Y N Do the following: 1. Construct a contingency table for part vs. organic (yes/no).
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