Exercise 1 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 a+b % and the standard deviation of c% where a, b and c are real number to be chosen 2 as follows: a e[50,90]: be[30;70) and C [3:25]. The graph of the distribution is required in each of the questions below. Once again, make sure that any reader can easily understand your analysis. (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? Exercise 1 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 a+b % and the standard deviation of c% where a, b and c are real number to be chosen 2 as follows: a e[50,90]: be[30;70) and C [3:25]. The graph of the distribution is required in each of the questions below. Once again, make sure that any reader can easily understand your analysis. (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