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. 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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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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.)
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. 220 230 240 250 260 220 230 240 250 260 220 230 240 250 260 220 230 240 250 260 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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