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Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 200 feet and a standard deviation of 42 feet. Let X = distance in feet for a fly ball. O Part (a) O Part (b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 180 feet? (Round your answer to four decimal places.) Sketch the graph. 0.010 0.010 0.008 0.008 0.006 0.006 0.004 0.004 0.002 0.002 X 400 100 200 300 100 200 300 400 0.010 0.010 0.008 0.008 0.006 0.006 0.004 0.004 0.002 0.002 - X 400 100 200 300 100 200 300 400 O Part (c) Find the 80th percentile of the distribution of fly balls. (Round your answer to one decimal place.) ft Sketch the graph. 100 200 300 400 100 200 300 400 00 100 200 300 400 00 100 200 300 400 Write the probability statement. (Let k represent the score that corresponds to the 80th percentile.) P(X < k) =

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 200 feet and a standard deviation of 42 feet. Let X = distance in feet for a fly ball. O Part (a) O Part (b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 180 feet? (Round your answer to four decimal places.) Sketch the graph. 0.010 0.010 0.008 0.008 0.006 0.006 0.004 0.004 0.002 0.002 X 400 100 200 300 100 200 300 400 0.010 0.010 0.008 0.008 0.006 0.006 0.004 0.004 0.002 0.002 - X 400 100 200 300 100 200 300 400 O Part (c) Find the 80th percentile of the distribution of fly balls. (Round your answer to one decimal place.) ft Sketch the graph. 100 200 300 400 100 200 300 400 00 100 200 300 400 00 100 200 300 400 Write the probability statement. (Let k represent the score that corresponds to the 80th percentile.) P(X < k) =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 200 feet and a standard deviation of 42 feet. Let X = distance in feet for a fly ball. O Part (a) O Part (b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 180 feet? (Round your answer to four decimal places.) Sketch the graph. 0.010f 0.010 0.008 0.008 0.006 0.006 0.004 0.004 0.002 0.002 X 400 100 200 300 100 200 300 400 0.010 0.010 0.008 0.008 0.006 0.006 0.004 0.004 0.002 0.002 100 200 300 400 100 200 300 400 O Part (c) Find the 80th percentile of the distribution of fly balls. (Round your answer to one decimal place.) ft Sketch the graph. 100 200 300 400 100 200 300 400 100 200 300 400 00 100 200 300 400 Write the probability statement. (Let k represent the score that corresponds to the 80th percentile.) P(X < k) =|
Transcribed Image Text:Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 200 feet and a standard deviation of 42 feet. Let X = distance in feet for a fly ball. O Part (a) O Part (b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 180 feet? (Round your answer to four decimal places.) Sketch the graph. 0.010f 0.010 0.008 0.008 0.006 0.006 0.004 0.004 0.002 0.002 X 400 100 200 300 100 200 300 400 0.010 0.010 0.008 0.008 0.006 0.006 0.004 0.004 0.002 0.002 100 200 300 400 100 200 300 400 O Part (c) Find the 80th percentile of the distribution of fly balls. (Round your answer to one decimal place.) ft Sketch the graph. 100 200 300 400 100 200 300 400 100 200 300 400 00 100 200 300 400 Write the probability statement. (Let k represent the score that corresponds to the 80th percentile.) P(X < k) =|
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