Question

The personnel department of a particular company has observed that 30% of the people the company...

The personnel department of a particular company has observed that 30% 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% of the new hires who remain with the company pass the test, and 90% of new hires who are dismissed fail the test.
i) What fractions of new hires fail the test?
ii) What fractions of new hires who fail the test will be remained within a year?
iii) What fractions of new hires who pass the test will be remained within a year?

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