At the end of each semester, Porfessor Taylor calculates an overall score for each of his students in large sections of an Introductory Statistics course. The overall score is calcualted based on each students performance on homework assignments, attendance, tests, and a final exam. A final grade is then assigned based on the overall score for the course. In a particular semester, the scores are normally distributed with a mean score of μ=78 and a standard deviation σ=6. Find the probability that a randomly selected students overall score is more than 87.
(A) 0.9332
(B) 0.5674
(C) 0.0668
(D) 0.1251
(E) 0.6800