In: Statistics and Probability
A company is advertising 20 jobs and has received 75 appli- cations. One of the criteria to rank applicants is the score of an aptitude test. The test assesses different skills of the applicants such as analytical and verbal skills. The test is scored from 200 to 800. During the time interval 2016–2019, on applications for similar jobs, the mean test score was 556.04 while the stan- dard deviation was 120.45. Based on this information, find the probability that an applicant will:
(a) score more than 672; [3]
(b) score less than or equal to 400; [2]
(c) score between 400 and 672. [2]
Round your answers to four decimal places.