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) =

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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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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