Question: 5. A large company insists that all job applicants who are invited for interview take a psychometric test. The results of these tests follow a normal distribution with a mean of 61% and the standard deviation of 7.2 %.

What proportion of applicants would be expected to score over 70%.
What proportion of applicants would be expected to score under 40%.
What proportion of applicants would be expected to score between 50% and 65%.
What score is exceeded by 20% of applicants.
What is the highest score achieved by the 5% of applicants who do least well in the test?