Afederal government agency that is responsible for setting vehicle fuel economy standards for automobile manufacturers is conducting research in order to update its fuel economy standards for the year 2030. Automobile manufacturers, and consumers. are highly interested in what the agency's ndings and determinations will be as this will affect even! vehicle in the United States. The federal government agency is very interested in the relationship between the weight of a vehicle and the vehicle's fuel economy (average miles per gallon (MPGD. Specically, the agency is concerned that if the current trend of automobile manufacturers producing heavier new vehicles continues that its fuel economy targets will not be met. The agency's research department recently collected data for analysis in order to support the agency's upcoming discussion with industry regarding its proposed 2030 fuel economy standards. The average MPG from a random sample of 750 vehicles was recently calculated by the agency. The research division also collected the vehicle weight of these 750 randomly sampled vehicles. The Vehicle Number. Type, Vehicle Weight, Average MPG. Fuel Tank Size (Gallons), Engine Size (Liters), and Meet or Not Meet Current Standards data were collected for these 750 vehicles. StatCrunch Data Set Agency leadership is interested in analyzing the engine sizes of this sample of 750 vehicles. (Use the mean and standard deviation of the Engine Size (L) data. Also, if appropriate based upon your visual analysis of a histogram of the Engine Size (L) data, use the Normal distribution to answer this question.) Ca culate the probability of randomly selecting a vehicle with an engine size less than 2.7 L. % (Round to two decimal places as needed.) Calculate the probability of randomly selecting a vehicle with an engine size greater than 3.9 L. more (Round to two decimal places as needed.) Calculate the probability of randomly selecting a vehicle with an engine between than 3.1 L and 4.2 L. % (Round to two decimal places as needed.) Calculate the engine size that represents the 10th percentile of this sample. Round to two decimal places as needed.)