Answer:
95% of the fellow students of this girl are taller than she is
Step-by-step explanation:
First find the z-score for the value 65 when the mean is 70 and the standard deviation is 3:
65 - 70
z = --------------- = -5/3, or approximately z = -1.667.
3
Next we determine what fraction of these heights lie above z = -1.667. This can be done on a calculator that has built-in statistical functions, or a table of z-scores. Using the TI-83 Plus: the area above z = -1.667 is 0.95.
In conclusion, 95% of the fellow students of this girl are taller than she is.
