(11 points) 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 74.9% of the tanks manufactured at a plant in Michigan, with the remaining 25.1% manufactured at a plant in Ohio. After several months of manufacturing, it is found that 1.85% of the tanks made at the Michigan plant do not meet specifications and are unusable, while 3.94% 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 Tank is usable Total Made in Michigan 185.0 7301.5 7486.5 Made in Ohio 247.75 4761.75 5009.5 Total 432.75 12063.25 10,000 b. What proportion of fuel tanks manufactured for this company are usable? 1.2063 c. If a fuel tank is found to be usable, what is the probability it was made in Ohio? .3947 d. If a fuel tank is found to be unusable, what is the probability it was made in Michigan? .4273