I am having a hard time with this chapter. Any help would be amazing!!! A manufa

Question

I am having a hard time with this chapter. Any help would be amazing!!!

A manufacturing firm finds that 80% of its new hires turn out to be good workers and 20% become poor workers. All current workers are given a reasoning test. Of the good workers, 60% pass it; 30% of the poor workers pass it. Assume that these figures will hold true in the future. If the company makes the test part of its hiring procedure and only hires people who meet the previous requirements and also pass the test, what percent of the new hires will turn out to be good workers? The percent of new hires that will be good workers is %. (Round to the nearest tenth.)

Explanation / Answer

The answer is simple Since it hires only those who pass the test, so P = Good workers who passed the test/(Good workers who passed the test + Poor workers who passed the test) = 48% / (48% + 6%) = 88.89% (48% = 80% * 60%, 6% = 20% * 30%)

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