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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?

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?

A First Course in Probability (10th Edition)
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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Conditional and Bayes Rule Probability Problems
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 What is the revised probability that the company uses training? company. What proportion of all companies is not small?
Transcribed Image Text: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 What is the revised probability that the company uses training? company. What proportion of all companies is not small?
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