The combined SAT scores for the students at a local high school are normally distributed with a mean of 1485 and a standard deviation of 298.

Question

The combined SAT scores for the students at a local high school are normally distributed with a mean of 1485 and a standard deviation of 298. The local college includes a minimum score of 1574 in its admission requirements.

What percentage of students from this school earn scores that fail to satisfy the admission requirement? 

P(X < 1574) =

Answer 1

P(x<1574) = 61.74%

About 62% have lower scores than 1574

About 38% have higher scores

calcute z score and use z tables or a z calculator

z=(x-mean)/standard deviation= (1574- 1485)/298 = 89/298=.2987