How many drivers would you expect to have speeds between 170.4 mph and 177.0 mph ? Show all work.
How many drivers would you expect to have speeds between 170.4 mph and 177.0 mph ? Show all work.
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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![Ch 8 FRQ
( The distribution of average speeds of the top 53 drivers in NASCAR is
roughly symmetric, unimodal, and bell-shaped, with a mean of 184.8 mph and a standard
deviation of 7.2 mph.
In the space above, draw a Normal Curve, from z=-3 to z=+3. Draw vertical
lines at the mean and each whole number standard deviation above and below the mean.
Write two rows of numbers under the base line; one row with the number of standard
deviations above and below the mean (z-scores), and a row under that with the actual
values for this problem.
] What percent of drivers would you expect to have speeds below 199.2 mph ?
Show all work.
s] What is the area under the curve to the left of a speed of 170.4mph
Show
all work.
What is the probability that a driver selected at random will have a speed
below
172.0 mph ? Show all work.
B] What percent of drivers would you expect to have a speed above 177.0
mph ?
Show all work.
How many drivers would you expect to have speeds between 170.4 mph and
177.0 mph ? Show all work.
$] What would be the speed of a driver who was at the 96th percentile ? Show
all work.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc4e58655-e53f-42ee-b39f-787912eba8a6%2Fdb34de6f-a383-44b1-a67e-7109b33a5af0%2Fwowfqms_processed.png&w=3840&q=75)
Transcribed Image Text:Ch 8 FRQ
( The distribution of average speeds of the top 53 drivers in NASCAR is
roughly symmetric, unimodal, and bell-shaped, with a mean of 184.8 mph and a standard
deviation of 7.2 mph.
In the space above, draw a Normal Curve, from z=-3 to z=+3. Draw vertical
lines at the mean and each whole number standard deviation above and below the mean.
Write two rows of numbers under the base line; one row with the number of standard
deviations above and below the mean (z-scores), and a row under that with the actual
values for this problem.
] What percent of drivers would you expect to have speeds below 199.2 mph ?
Show all work.
s] What is the area under the curve to the left of a speed of 170.4mph
Show
all work.
What is the probability that a driver selected at random will have a speed
below
172.0 mph ? Show all work.
B] What percent of drivers would you expect to have a speed above 177.0
mph ?
Show all work.
How many drivers would you expect to have speeds between 170.4 mph and
177.0 mph ? Show all work.
$] What would be the speed of a driver who was at the 96th percentile ? Show
all work.
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