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The figure above shows a normal distribution with mean m an
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25 Aug 2020, 07:39
25 Aug 2020, 07:39
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GRE The figure above shows a normal distribution with mean m and standard deviation d.png [ 11.88 KiB | Viewed 10995 times ]
The figure above shows a normal distribution with mean m and standard deviation d, including approximate percents of the distribution in each of the six regions shown. For a population of 4000 students in a university, the heights of these students are approximately normally distributed with a mean of 67 inches and a standard deviation of 4 inches. How many of the students had heights between 71 and 75 inches?
A. 80
B. 560
C. 1120
D. 1360
E. 1920
Re: The figure above shows a normal distribution with mean m an
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25 Aug 2020, 07:40
25 Aug 2020, 07:40
Expert Reply
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Re: The figure above shows a normal distribution with mean m an
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25 Aug 2020, 09:24
25 Aug 2020, 09:24
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Carcass wrote:
Attachment:
GRE The figure above shows a normal distribution with mean m and standard deviation d.png
The figure above shows a normal distribution with mean m and standard deviation d, including approximate percents of the distribution in each of the six regions shown. For a population of 4000 students in a university, the heights of these students are approximately normally distributed with a mean of 67 inches and a standard deviation of 4 inches. How many of the students had heights between 71 and 75 inches?
A. 80
B. 560
C. 1120
D. 1360
E. 1920
The heights of these students are approximately normally distributed with a mean of 67 inches and a standard deviation of 4 inches.
Add this information to the diagram to get:
How many of the students had heights between 71 and 75 inches?
From the diagram, we can see that 14% of the heights are between 71 and 75 inches
14% of 4000 students = (0.14)(4000) = 560
Answer: B
Cheers,
Brent
