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

Algebra ->  Probability-and-statistics -> 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      Log On


   

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) About Me  (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”