Answer:
B) 62.47% of the students are between 14 and 18 years old.
Explanation:
Mean = 15 and Standard deviation = 2
Student between 14 to 18
Formula used z-score

For age 14 , z score


Using z-table , P(z>-0.5)=0.3085
For age 18 , z score


Using z-table , P(z<1.5)=0.9332
P(-0.5<z<1.5)=0.9332-0.3085 = 0.6247
Thus, 62.47% of the students are between 14 and 18 years old.