SOLUTION: 28) through 33) the heights of 1000 students in a college are normally distributed with a mean 5�10� and SD 2�. Use 68% for the region from the mean to 1-SD on either side; 94% for

Question 1075195: 28) through 33) the heights of 1000 students in a college are normally distributed with a mean 5�10� and SD 2�. Use 68% for the region from the mean to 1-SD on either side; 94% for the region from the mean to 2-SD on either side and 98% for the region from the mean to 3-SD on either side. Find the approximate number of students in each range of the heights:
28) 5�8��6�
29) 5�6��6�2�
30) Above 5�10�
31) Below 6�
32) Above 5�8�
33) 5�8��6�4�

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
28) through 33) the heights of 1000 students in a college are normally distributed with a mean 5�10� and SD 2�. Use 68% for the region from the mean to 1-SD on either side; 94% for the region from the mean to 2-SD on either side and 98% for the region from the mean to 3-SD on either side. Find the approximate number of students in each range of the heights:
28) 5�8��6�
z(5'8") = (5'8"-5'10")/2" = -2"/2" = -1C
P(6") = (6"-5'10")/2" = 2"/2" = 1
P(5'8 to 6') = P(-1<= z <=1) = 68% = 0.68
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Comment:: Follow that Example and you should be able
to find answers for your remaining problems.
Cheers,
Stan H.
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29) 5�6��6�2�
30) Above 5�10�
31) Below 6�
32) Above 5�8�
33) 5�8��6�4�
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