MAT-144 HELP ON THIS

Question

Scores on the quantitative portion of an exam have a mean of

576

and a standard deviation of

150.

Assume the scores are normally distributed. What percentage of students taking the quantitative exam score above

591?

Answer 1

Use the z-score formula and the z-score table from your textbook.

z = (X - μ) / σ = (591 - 576) / 150 = 15/150 = 0.10

P(z > 0.10) = 1 - P(z < 0.10) = 1 - 0.5398 = 0.4602

About 46.02% of students scored above 591 on the quantitative exam.