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, 85% pass the test, and 35% of poor workers pass it. Assume that the 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 pass the test, what percent of the new hires will turn out to be good workers?

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, 85% pass the test, and 35% of poor workers pass it. Assume that the 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 pass the test, what percent of the new hires will turn out to be good workers?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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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, 90% 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?