12 The combined math and verbal scores for students taking a

12) The combined math and verbal scores for students taking a national standardized examination for college admission, is normally distributed with a mean of 690 and a standard deviation of 160. If a college requires a minimum score of 1050 for admission, what percentage of student do not satisfy that requirement?

Solution

P(X<1050) = P((X-mean)/s <(1050-690)/160)

=P(Z<2.25) = 0.9878 (from standard normal table)