A manufacturing firm finds that 70% of its new hires turn out to be good workers and 30% 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 %.

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2022-08-31

A manufacturing firm finds that 70% of its new hires turn out to be good workers and 30% 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 %.

Answer & Explanation

Alyvia Marks

Alyvia Marks

Beginner2022-09-01Added 12 answers

you have two prob good and pass +badd and pass= .7*.6 +.3*.3 =.51
prob of good = .7*.6/.51=.82

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