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A company employs a large number of administrative staff. When the company wants to employ new staff, candidates are given a standard task to

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A company employs a large number of administrative staff. When the company wants to employ new staff, candidates are given a standard task to complete, and the time they take to complete the task is recorded. It is observed that the times taken by candidates are normally distributed with mean 360 seconds and standard deviation 75 seconds. a) i) What proportion of the applicants take longer than 450 seconds? II) What proportion of the applicants take between 210 seconds and 150 seconds? iii) What time is exceeded by 5% of the candidates? Candidates who take longer than 450 seconds are automatically rejected and those who take less than 210 seconds are automatically accepted. The remainder are interviewed. b) What is the median time taken by those applicants who are interviewed?

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