Trains play a large role in the transportation of grains in America. Machinery is used to load the grain into the rail car. When functioning properly, the actual weights of the grain loaded into each car by the filling equipment are approximately normally distributed with a mean of 60 tons and a standard deviation of 1 ton. If the mean is greater than 61 tons, the loading mechanism is overfilling. a. If the filling equipment is functioning properly, what is the probability that the weight of the grain in a randomly selected car will be 60.7 tons or more? Show your work. b. Suppose that the weight of grain in a randomly selected car is 60.7 tons. Would that fact make you suspect that the loading mechanism is overfilling the cars? Justify your answer. c. If the filling equipment is functioning properly, what is the probability that a random sample of 15 cars will have a mean grain weight of 60.7 tons or more? Show your work. d. Based on your answer in part (c). if a random sample of 15 cars had a mean weight of 60.7 tons, would you suspect that the loading mechanism was overfilling the cars? Justify your answer. Your