Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with
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Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of236feet and a standard deviation of48feet. We randomly sample 49 fly balls.
Please Be very careful with the rounding and use all decimal places when needed
- Part (a)
- IfX= average distance in feet for 49 fly balls, then give the distribution ofX.
- Round your standard deviation to two decimal places.
- X~_____(______,______).
- Part (b)
- What is the probability that the 49 balls traveled an average of less than228feet? (Round your answer to four decimal places.)
____________
- Sketch the graph. Scale the horizontal axis forX.
- Shade the region corresponding to the probability.
- Part (C)
Find the60thpercentile of the distribution of the average of 49 fly balls. (Round your answer to two decimal places.)
___________ft
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