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Statistics and probability... Coal is carried from a mine and West Virginia to a power plant in New York and hopper cars on a long

Statistics and probability...

Coal is carried from a mine and West Virginia to a power plant in New York and hopper cars on a long train. The automatic hopper car loader is set to put 63 tons of coal and each car. The actual weights of Cole loaded into each car are normally distributed with a mean u=63 tons and a standard deviation o= 1.2 tons.

  1. what is the probability that one car chosen at random will have less than 62.5 tons of coal? (Round your answer to four decimal places)
  2. what is the probability that 29 cars chosen at random will have a mean load weight of Less than 62.5 tons of coal?

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