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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.
- 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.
- Estimate the percentage of Kershaw's fastballs that were between 91.6 and 93.0 mph. Justify your answer.
- Estimate the percentage of Kershaw's fastballs that were less than 91.6 mph. Justify your answer.
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