It is known that an exam scores of students in STAT 2507 follow a normal distribution with a mean of 70% and a standard deviation of 9%.
(A) If a student must obtain a mark of 50% to pass the exam, what proportion of students fail the exam?
(B) What is the probability that a randomly selected student will score between 65% and 85%?
(C) What is the minimum score required for a student to be in the top 10 percent of the class?
(D) What is the probability that a student will get exactly 70%?