The heights of 1500 students are normally distributed with a mean of 166.5 centimete and a standard deviation of 7.9 centimeters. Assuming that the heights are recorded the nearest half-centimeter, how many of these students would be expected to have heights (a) less than 151.0 centimeters? (b) between 161.5 and 175.0 centimeters inclusive? (c) equal to 168.0 centimeters? (d) greater than or equal to 181.0 centimeters? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table.
The heights of 1500 students are normally distributed with a mean of 166.5 centimete and a standard deviation of 7.9 centimeters. Assuming that the heights are recorded the nearest half-centimeter, how many of these students would be expected to have heights (a) less than 151.0 centimeters? (b) between 161.5 and 175.0 centimeters inclusive? (c) equal to 168.0 centimeters? (d) greater than or equal to 181.0 centimeters? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table.
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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![The heights of 1500 students are normally distributed with a mean of 166.5 centimeters and a standard deviation of 7.9 centimeters. Assuming that the heights are recorded to the nearest half-centimeter, how many of these students would be expected to have heights:
(a) less than 151.0 centimeters?
(b) between 161.5 and 175.0 centimeters inclusive?
(c) equal to 168.0 centimeters?
(d) greater than or equal to 181.0 centimeters?
[Click here to view page 1 of the standard normal distribution table.](#)
[Click here to view page 2 of the standard normal distribution table.](#)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe7e575d-dfd7-411c-ad5f-62e2be64ba9f%2Fd0f7d87b-217b-45a3-bfed-9d5830ef4627%2Fzzzo54a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The heights of 1500 students are normally distributed with a mean of 166.5 centimeters and a standard deviation of 7.9 centimeters. Assuming that the heights are recorded to the nearest half-centimeter, how many of these students would be expected to have heights:
(a) less than 151.0 centimeters?
(b) between 161.5 and 175.0 centimeters inclusive?
(c) equal to 168.0 centimeters?
(d) greater than or equal to 181.0 centimeters?
[Click here to view page 1 of the standard normal distribution table.](#)
[Click here to view page 2 of the standard normal distribution table.](#)
![Given a normal distribution with μ = 35 and σ = 7, find
(a) the normal curve area to the right of x = 20;
(b) the normal curve area to the left of x = 26;
(c) the normal curve area between x = 38 and x = 48;
(d) the value of x that has 85% of the normal curve area to the left; and
(e) the two values of x that contain the middle 75% of the normal curve area.
[Click here to view page 1 of the standard normal distribution table.](#)
[Click here to view page 2 of the standard normal distribution table.](#)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe7e575d-dfd7-411c-ad5f-62e2be64ba9f%2Fd0f7d87b-217b-45a3-bfed-9d5830ef4627%2Fxbricmg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given a normal distribution with μ = 35 and σ = 7, find
(a) the normal curve area to the right of x = 20;
(b) the normal curve area to the left of x = 26;
(c) the normal curve area between x = 38 and x = 48;
(d) the value of x that has 85% of the normal curve area to the left; and
(e) the two values of x that contain the middle 75% of the normal curve area.
[Click here to view page 1 of the standard normal distribution table.](#)
[Click here to view page 2 of the standard normal distribution table.](#)
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VIEWStep 2: Find the number of students whose height less than 151.0 cms:
VIEWStep 3: Find the number of students whose height is between 161.5 and 175.0 cms:
VIEWStep 4: Find the number of students whose height is equal to 168.0 cms:
VIEWStep 5: Find the number of students whose height is greater than or equal to 181.0 cms:
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