Suppose that test scores are normally distributed with mean 57 and variance 36. [The possible scores on this test range from 0 to 100.] (a) What is the probability that a student will fail the test, i.e. score less than 40. i. Write down an expression for the above probability. ii. Use the appropriate Normal function to calculate this probability. (b) What is the probability that the student will receive a 2.2, i.e. score between 50.00 and 59.99? i. Write down an expression for the above probability. ii. Use the appropriate Normal function to calculate this probability..