SOLUTION: In an all boys school, the heights of the student body are normally distributed with a mean of 67 inches and a standard deviation of 3 inches. Out of the 836 boys who go to that sc

Question 1159717: In an all boys school, the heights of the student body are normally distributed with a mean of 67 inches and a standard deviation of 3 inches. Out of the 836 boys who go to that school, how many would be expected to be shorter than 73 inches tall, to the nearest whole number?
Answer by VFBundy(438) (Show Source): You can put this solution on YOUR website!
z-score = = = 2

Look up 2.00 on a z-table. The result is 0.9772. This means there is a 0.9772 probability a student will be shorter than 73 inches. Since there are 836 students at the school, the expected number of students who would be shorter than 73 inches is:

836 * 0.9772 = 816.94...or, rounded up to 817 students.
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