A medical student took a standardized achievement test.In a test population of 500 medical students, the scores were normally distributed.On this test, the mean score is 500 and the standard deviation is 100.The student's reported score was 746.

a.Calculate the student's Z-score:

b.In simple terms, what is the interpretation of the Z-score regarding standard deviation?

How many students in a class of 500 (do not count this student as a member of the class) would be expected to equal or surpass this student's score? Round to the nearest whole student.