Answer to Question #167366 in Statistics and Probability for Matt

Question

The mean height of grade 9 students at a certain high school is 164 centimeters and the standard deviation is 10 centimeters. Assuming the heights are normally distributed, What percent of the heights is greater than 168 centimeters? 

Answer 1

$P(X>168)=P(Z>\frac{168-164}{10})=P(Z>0.4)=0.3446=34.46\%.$