A certain psychological test measures empathy and emotional intelligence. The scores for both senior and first-year students at a large university follow an approximately Normal distribution.
The mean and standard deviation of the difference D = S – F in scores for a randomly selected pair of senior and first-year students are μD = 19 and σD = 44.6878.
Use the z-table to answer the question.
What is the probability that the first-year student shows a higher emotional intelligence test score in a randomly selected senior/first-year pair?
A. 0.1976
B. 0.3354
C. 0.6646
D. 0.8024