Part A (Total: 12 marks)

The scores on Statistics test are normally distributed. If the test has a mean of 52 and a standard deviation of 8, what is the probability that a student who takes the test will score:

(a)Below 43? (3 marks)

(b)Above 70? (4marks)

(c)Between 45 and 65? (5 marks)

Part B (Total: 7 marks)

Draw a normal distribution curve for (a) (2 marks), (b) (2 marks) and (c) (3 marks) calculated in Part A.