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Major tion about every pitch thrown in every game of every 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 µ = 91.54 mph and a = 2.01 mph. O 85 90 speed (mph) 95 100 Approximately what proportion of these four-seam fastballs would you expect to have speeds between 90.7 mph and 92.5 mph? (Express your answer as a decimal and round to 4 decimal places.) Approximately what proportion of these four-seam fastballs would you expect to have speeds above 92.5 mph? (Express your answer as a decimal and round to 4 decimal places.) A baseball fan wishes to identify the four-seam fastballs among the fastest 24% of all such pitches. Above what speed must a four-seam fastball be in order to be included in the fastest 24% ? (Round your answer to the nearest 0.1 mph.)

Major tion about every pitch thrown in every game of every 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 µ = 91.54 mph and a = 2.01 mph. O 85 90 speed (mph) 95 100 Approximately what proportion of these four-seam fastballs would you expect to have speeds between 90.7 mph and 92.5 mph? (Express your answer as a decimal and round to 4 decimal places.) Approximately what proportion of these four-seam fastballs would you expect to have speeds above 92.5 mph? (Express your answer as a decimal and round to 4 decimal places.) A baseball fan wishes to identify the four-seam fastballs among the fastest 24% of all such pitches. Above what speed must a four-seam fastball be in order to be included in the fastest 24% ? (Round your answer to the nearest 0.1 mph.)

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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Major League Baseball now records information about every pitch thrown in every game of every 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 µ = 91.54 mph and o = 2.01 mph. www. E 20 counts $ 4000 R 000€ 2000 COOL RS 0 Approximately what proportion of these four-seam fastballs would you expect to have speeds between 90.7 mph and 92.5 mph? (Express your answer as a decimal and round to 4 decimal places. 85 Approximately what proportion of these four-seam fastballs would you expect to have speeds above 92.5 mph? (Express your answer as a decimal and round to 4 decimal places.) % 90 A baseball fan wishes to identify the four-seam fastballs among the fastest 24% of all such pitches. Above what speed must a four-seam fastball be in order to be included in the fastest 24%? (Round your answer to the nearest 0.1 mph.) speed (mph) T 95 100 MacBook Air Y & U ▶ 8 9 O 0
Transcribed Image Text:Major League Baseball now records information about every pitch thrown in every game of every 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 µ = 91.54 mph and o = 2.01 mph. www. E 20 counts $ 4000 R 000€ 2000 COOL RS 0 Approximately what proportion of these four-seam fastballs would you expect to have speeds between 90.7 mph and 92.5 mph? (Express your answer as a decimal and round to 4 decimal places. 85 Approximately what proportion of these four-seam fastballs would you expect to have speeds above 92.5 mph? (Express your answer as a decimal and round to 4 decimal places.) % 90 A baseball fan wishes to identify the four-seam fastballs among the fastest 24% of all such pitches. Above what speed must a four-seam fastball be in order to be included in the fastest 24%? (Round your answer to the nearest 0.1 mph.) speed (mph) T 95 100 MacBook Air Y & U ▶ 8 9 O 0
Major League Baseball now records information about every pitch thrown in every game of every 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 µ = 91.54 mph and o = 2.01 mph. www. E 20 counts $ 4000 R 000€ 2000 COOL RS 0 Approximately what proportion of these four-seam fastballs would you expect to have speeds between 90.7 mph and 92.5 mph? (Express your answer as a decimal and round to 4 decimal places. 85 Approximately what proportion of these four-seam fastballs would you expect to have speeds above 92.5 mph? (Express your answer as a decimal and round to 4 decimal places.) % 90 A baseball fan wishes to identify the four-seam fastballs among the fastest 24% of all such pitches. Above what speed must a four-seam fastball be in order to be included in the fastest 24%? (Round your answer to the nearest 0.1 mph.) speed (mph) T 95 100 MacBook Air Y & U ▶ 8 9 O 0
Transcribed Image Text:Major League Baseball now records information about every pitch thrown in every game of every 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 µ = 91.54 mph and o = 2.01 mph. www. E 20 counts $ 4000 R 000€ 2000 COOL RS 0 Approximately what proportion of these four-seam fastballs would you expect to have speeds between 90.7 mph and 92.5 mph? (Express your answer as a decimal and round to 4 decimal places. 85 Approximately what proportion of these four-seam fastballs would you expect to have speeds above 92.5 mph? (Express your answer as a decimal and round to 4 decimal places.) % 90 A baseball fan wishes to identify the four-seam fastballs among the fastest 24% of all such pitches. Above what speed must a four-seam fastball be in order to be included in the fastest 24%? (Round your answer to the nearest 0.1 mph.) speed (mph) T 95 100 MacBook Air Y & U ▶ 8 9 O 0
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