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In his game on July 9, 2017, pitcher Clayton Kershaw's distribution of fastball speed was roughly normal with a mean of 92.3 mph and a

In his game on July 9, 2017, pitcher Clayton Kershaw's distribution of fastball speed was roughly normal with a mean of 92.3 mph and a standard deviation of 0.7 mph.

  1. Sketch a normal curve to model this distribution. Label the mean along with the points 1, 2, and 3 standard deviations from the mean in both directions.
  2. Estimate the percentage of Kershaw's fastballs that were between 91.6 and 93.0 mph. Justify your answer.
  3. Estimate the percentage of Kershaw's fastballs that were less than 91.6 mph. Justify your answer.

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