A large company insists that all jobs applicants who are invited for interview take a psychometric test. The results of these tests follow a normal di

A large company insists that all jobs 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%.a) What proportion of applicants would be expected to score over 70%?b) What proportion of applicants would be expected to score under 40%?c) What proportion of applicants would be expected to score between 50 % and 65%?d) What score is exceeded by 20% of applicants?e) What is the highest score achieved by the 5% of applicants who do least well in the test?