The KCA University School of Graduate Studies (SGS) require applicants for admission to take an entry exam. Scores on this entry exam are roughly normally distributed with a mean of 77 and a standard deviation of 9.5.

(i) What is the probability of an individual scoring above 81 on the entry exam? (4 dp)

Answer for part 1
0.1628
(ii) What is the probability that an applicant will score less than 85? (4 dp)

Answer for part 2
0.2005
(iii) What is the probability that an applicant will score between 65 and 85 marks?