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Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet. We randomly sample 49 fly balls. O Part a)

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet. We randomly sample 49 fly balls. O Part a)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet. We randomly sample 49 fly balls. O Part (a) If X = average distance n feet for 49 fly balls, then give the distribution of X. Round your standard deviation to two decimal places. O Part (b) What is the probability that the 49 balls traveled an average of less than 240 feet? (Round your answer to four decimal places.) Sketch the graph. Scale the horizontal axis for X. Shade the region corresponding to the probability. O 230 240 250 260 270 O 230 240 250 260 270 O 230 240 250 260 270 O 230 240 250 260 270 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 250 feet and a standard deviation of 50 feet. We randomly sample 49 fly balls. O Part (a) If X = average distance n feet for 49 fly balls, then give the distribution of X. Round your standard deviation to two decimal places. O Part (b) What is the probability that the 49 balls traveled an average of less than 240 feet? (Round your answer to four decimal places.) Sketch the graph. Scale the horizontal axis for X. Shade the region corresponding to the probability. O 230 240 250 260 270 O 230 240 250 260 270 O 230 240 250 260 270 O 230 240 250 260 270 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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