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 between90.7 mph and 94.7 mph? (Express your answer as a decimal, not a percent, and round to threedecimal places.)Approximately what fraction of these four-seam fastballs would you expect to have speeds above94.7 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%? (Roundyour answer to the nearest 0.1 mph.)mph Major League Baseball now records information about every pitch thrown in every game ofseason. Statistician Jim Albert compiled data about every pitch thrown by 20 starting pitchers duringthe 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 30,740four-seam fastballs thrown by these pitchers during the 2009 season is shown below, from whichwe can see that the speeds of these fastballs follow a Normal model with mean u = 92.12 mph and astandard deviation of o = 2.43 mph.every859095100speed (mph)counts

Name: Compute the z-score of pitch with speed 91.3 mph. (Round your answer
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Description: 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 between90.7 mph and 94.7 mph? (Express your answer as a decimal, not

Solution: Let X be the four seam fastball speeds has normal distribution with mean μ= 92.12 mph and…

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Compute the z-score of pitch with speed 91.3 mph. (Round your answer to two decimal places.) pproximately what fraction of these four-seam fastballs would you expect to have speeds between 0.7 mph and 94.7 mph? (Express your answer as a decimal, not a percent, and round to three ecimal places.) pproximately what fraction of these four-seam fastballs would you expect to have speeds above 4.7 mph? (Express your answer as a decimal, not a percent, and round to three decimal places.) paseball fan wishes to identify the four-seam fastballs among the slowest 14% of all such pitches. low what speed must a four-seam fastball be in order to be included in the slowest 14%? (Round ur answer to the nearest 0.1 mph.)

Compute the z-score of pitch with speed 91.3 mph. (Round your answer to two decimal places.) pproximately what fraction of these four-seam fastballs would you expect to have speeds between 0.7 mph and 94.7 mph? (Express your answer as a decimal, not a percent, and round to three ecimal places.) pproximately what fraction of these four-seam fastballs would you expect to have speeds above 4.7 mph? (Express your answer as a decimal, not a percent, and round to three decimal places.) paseball fan wishes to identify the four-seam fastballs among the slowest 14% of all such pitches. low what speed must a four-seam fastball be in order to be included in the slowest 14%? (Round ur answer to the nearest 0.1 mph.)

MATLAB: An Introduction with Applications

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Publisher:Amos Gilat

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Question

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

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