A large university administers entrance exams to all entering students. The test is administered again as an exit exam for all graduates. The test results for one group of students are given in the table.

Freshman year Senior year X 5 53 X 5 92 s 5 7 s 5 4

a. The scores for five students on both tests are listed below. For each student, calculate Z scores and determine whether the student performed better as a freshman or as a senior.

Student Score, Freshman year Score, Senior year A 57 97 B 51 94 C 45 82 D 73 101 E 62 98

b. Determine the probabilities that randomly selected students will have scores in each of these ranges:

Freshman year Score Probability less than 52 less than 57 Between 40 and 50 more than 51 more than 62 Senior year Score Probability less than 88 less than 98 Between 80 and 100 more than 97 more than 85