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a) What is the probability that a randomly chosen employee will be a man only a high school education? b) What is the probability that a randomly chosen employee will have undergraduate training?

a) What is the probability that a randomly chosen employee will be a man only a high school education? b) What is the probability that a randomly chosen employee will have undergraduate training?

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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Do question a) and b) only. 

4. In a large cooperation, 78% of the employees are men and 22% are women. The highest levels of education obtained by the employees are graduate training for 10% of the men, undergraduate training for 30% of the men and high school training for 60% of the men. The highest levels of education obtained are also graduate training for 15% of the women, undergraduate training for 40% of the women and high school training for 45% of the women. a) What is the probability that a randomly chosen employee will be a man only a high school education? b) What is the probability that a randomly chosen employee will have undergraduate training? c) What is the probability that a randomly chosen employee who has graduate training is a woman? d) Are gender and level of education of employees in this corporation statistically independent? Explain. e) What is the probability that a randomly chosen employee who has not had graduate training is a man?
Transcribed Image Text:4. In a large cooperation, 78% of the employees are men and 22% are women. The highest levels of education obtained by the employees are graduate training for 10% of the men, undergraduate training for 30% of the men and high school training for 60% of the men. The highest levels of education obtained are also graduate training for 15% of the women, undergraduate training for 40% of the women and high school training for 45% of the women. a) What is the probability that a randomly chosen employee will be a man only a high school education? b) What is the probability that a randomly chosen employee will have undergraduate training? c) What is the probability that a randomly chosen employee who has graduate training is a woman? d) Are gender and level of education of employees in this corporation statistically independent? Explain. e) What is the probability that a randomly chosen employee who has not had graduate training is a man?
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