Question

How many scores are above 116?

Answer 1

Given a population of 5000 scores with a mean of 86 and a standard deviation of 10, how many scores are above 116?

$$P(X>116)=1-P(X\le 116)$$

$$=1-P(Z\le \dfrac{116-86}{10})=1-P(Z\le3)$$

$$=0.00135$$

$$0.00135(5000)=7$$

7 scores are above 116.