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MATLAB: An Introduction with Applications
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ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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![Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 238 feet and a standard deviation of 58 feet. We randomly sample 49 fly balls.
O Part (a)
O Part (b)
What is the probability that the 49 balls traveled an average of less than 226 feet? (Round your answer to four decimal places.)
Sketch the graph. Scale the horizontal axis for X. Shade the region corresponding to the probability.
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O Part (c)
Find the 60th percentile of the distribution of the average of 49 fly balls. (Round your answer to two decimal places.)](https://content.bartleby.com/qna-images/question/bdc8eefe-afae-49e5-9b51-fc6f800773a0/605ca451-1536-4827-bfee-7e2fab3d710a/0dhvwps_thumbnail.jpeg)
Transcribed Image Text:Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 238 feet and a standard deviation of 58 feet. We randomly sample 49 fly balls.
O Part (a)
O Part (b)
What is the probability that the 49 balls traveled an average of less than 226 feet? (Round your answer to four decimal places.)
Sketch the graph. Scale the horizontal axis for X. Shade the region corresponding to the probability.
220
230
240
250
260
220
230
240
250
260
220
230
240
250
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230
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260
O Part (c)
Find the 60th percentile of the distribution of the average of 49 fly balls. (Round your answer to two decimal places.)
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