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 put 61 tons of coal into each car. The actual weights...

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 put 61 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed with mean of 61 tons and standard deviation of 0.7 ton.  A) what is the probability that one car chosen at random will have less than 60.5 tons of coal?   B.) What is the probability that 46 cars chosen at random will have a mean load weight x of less than 60 . 5 tons of coal