MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Compute the z-score of pitch with speed 91.3 mph. (Round your answer to two decimal places.)
Approximately what fraction of these four-seam fastballs would you expect to have speeds between
90.7 mph and 94.7 mph? (Express your answer as a decimal, not a percent, and round to three
decimal places.)
Approximately what fraction of these four-seam fastballs would you expect to have speeds above
94.7 mph? (Express your answer as a decimal, not a percent, and round to three decimal places.)
A baseball fan wishes to identify the four-seam fastballs among the slowest 14% of all such pitches.
Below what speed must a four-seam fastball be in order to be included in the slowest 14%? (Round
your answer to the nearest 0.1 mph.)
mph
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Transcribed Image Text:Compute the z-score of pitch with speed 91.3 mph. (Round your answer to two decimal places.) Approximately what fraction of these four-seam fastballs would you expect to have speeds between 90.7 mph and 94.7 mph? (Express your answer as a decimal, not a percent, and round to three decimal places.) Approximately what fraction of these four-seam fastballs would you expect to have speeds above 94.7 mph? (Express your answer as a decimal, not a percent, and round to three decimal places.) A baseball fan wishes to identify the four-seam fastballs among the slowest 14% of all such pitches. Below what speed must a four-seam fastball be in order to be included in the slowest 14%? (Round your answer to the nearest 0.1 mph.) mph
Major League Baseball now records information about every pitch thrown in every game of
season. Statistician Jim Albert compiled data about every pitch thrown by 20 starting pitchers during
the 2009 MLB season. The data set included the type of pitch thrown (curveball, changeup, slider,
etc.) as well as the speed of the ball-as it left the pitcher's hand. A histogram of speeds for all 30,740
four-seam fastballs thrown by these pitchers during the 2009 season is shown below, from which
we can see that the speeds of these fastballs follow a Normal model with mean u = 92.12 mph and a
standard deviation of o = 2.43 mph.
every
85
90
95
100
speed (mph)
counts
expand button
Transcribed Image Text:Major League Baseball now records information about every pitch thrown in every game of season. Statistician Jim Albert compiled data about every pitch thrown by 20 starting pitchers during the 2009 MLB season. The data set included the type of pitch thrown (curveball, changeup, slider, etc.) as well as the speed of the ball-as it left the pitcher's hand. A histogram of speeds for all 30,740 four-seam fastballs thrown by these pitchers during the 2009 season is shown below, from which we can see that the speeds of these fastballs follow a Normal model with mean u = 92.12 mph and a standard deviation of o = 2.43 mph. every 85 90 95 100 speed (mph) counts
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