what percentage of test-takers scored between the average and this student’s score?

Question

Nationwide, GMAT scores in a particular year had an average of 492 with a

standard deviation of 100 and the scores roughly followed a normal curve. If a

student scored 600 on the exam, approximately what percentage of test-takers

scored between the average and this student’s score?

Answer 1

Prob ( 492 < x < 600) =

prob( 0 < z < (600-492)/100) =

prob ( 0 < z < 108/100) =

prob ( 0 < z < 1.08) =

prob( z< 1.08) - prob(z < 0) =

0.859929 - 0.5 =

0.359929 = 35.9929%

which is ALMOST 36%