Companies provide training to employees for many different reasons. Among them are employee loyalty, employee retention, and quality of employee work. Suppose 65% of all companies give some training to their employees but that this figure varies by company size. Suppose further that 18% of all companies using training are small companies and that 75% of all companies that do not use training are small companies. A company is randomly sampled without regard to size.  What is the probability that the company uses training?  Suppose it is determined that the selected company is not a small company.  What is the revised probability that the company uses training?  What proportion of all companies is not small?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Companies provide training to employees for many different reasons. Among them are employee
loyalty, employee retention, and quality of employee work. Suppose 65% of all companies give some
training to their employees but that this figure varies by company size. Suppose further that 18% of
all companies using training are small companies and that 75% of all companies that do not use
training are small companies. A company is randomly sampled without regard to size.
 What is the probability that the company uses training?
 Suppose it is determined that the selected company is not a small company.
 What is the revised probability that the company uses training?
 What proportion of all companies is not small?

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