Questions One and Two are to be done by hand and using tables. Show your workings and include diagrams to demonstrate your solution.

Question One

Large employers often apply a series of tests for applicants. One employer has a skills test (Test A) of 120 questions where the results are normally distributed with a mean of 80 and a standard deviation of 11.

a.What is the probability a randomly selected applicant scores more than 100 on the test.

b.What is the probability a randomly selected applicant scores more than 60

c.What would the best score of the lowest 15% of applicants be?