Fuel tank quality control ~ The capacity of the fuel tank on a new automobile is designed to be 48 liters. Company managers arrange to have 77.1% of the tanks manufactured at a plant in Michigan, with the remaining 22.9% manufactured at a plant in Ohio. After several months of manufacturing, it is found that 1.54% of the tanks made at the Michigan plant do not meet specifications and are unusable, while 4.03% of the tanks made in Ohio are unusable. Round all answers to four decimal places. a. Use the information provided and a theoretical group of 10,000 fuel tanks to construct a table for this manufacturing scenario. Tank is unusable Made in Michigan 118.734 Tank is usable 7591.266 7710 Made in Ohio 92.287 2197.713 2290 Total 211.021 9788.979 b. What proportion of fuel tanks manufactured for this company are unusable? 2.1101 c. If a fuel tank is found to be usable, what is the probability it was made in Ohio? 22.4509 d. If a fuel tank is found to be unusable, what is the probability it was made in Michigan? 56.2901 Total 10,000