Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put75tons of coal into each car. The actual weights of coal loaded into each car arenormally distributed, with mean=75tons and standard deviation=1.1ton.

(a) What is the probability that one car chosen at random will have less than74.5tons of coal? (Round your answer to four decimal places.) (b) What is the probability that46cars chosen at random will have a mean load weightxof less than74.5tons of coal? (Round your answer to four decimal places.)