. |ICLO2 The personnel department of a particular company has observed that 30 percent of the people the company hires are dismissed within a year because they are unable to perform adequately. To reduce the amount of turnover, the company decides to administer a test to all applicants. Data collected over several years suggest that 80 percent of new hires who remain with the company pass the test, and 90 percent of new hires who are dismissed fail the test. (a) Calculate the probability of new hires pass the test. [5 marks] (b) Calculate the probability of new hires who pass the test will be dismissed within a year, [3 marks] () Calculate the probability of new hires who fail the test will be dismissed within a year. Compare whether this is the same as the probability of dismissed new hires that failed the test. [5 marks] (d) You are interviewing a candidate who has failed the test, but you decide to hire the candidate anyway. Calculate the probability that this person will be with the company a year from now. [2 marks]