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The speeds of cars on a road are approximately normally distributed with a mean miles per hour and standard deviation miles per hour. An interactive graph of this distribution is given below. To use it, click and drag the red dot. (Be patient -- the interactive applet may take a minute to load.)


  1. What is the probability that a randomly selected car is going between 50 and 64 miles per hour?


  2. What fraction of all cars are going slower than 52 miles per hour?


  3. What fraction of all cars are going faster than 52 miles per hour?

You can earn partial credit on this problem.