A company is worried about the high turnover of its employees and decides to investigate whether they are more likely to stay if they are given training. On 1 January one year the company was employing 256 people (excluding those about to retire). During that year a record was kept of who received training as well as who left the company. The results are summarised in this table.
A company is worried about the high turnover of its employees and decides to investigate whether they are more likely to stay if they are given training. On 1 January one year the company was employing 256 people (excluding those about to retire). During that year a record was kept of who received training as well as who left the company. The results are summarised in this table.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![A company is worried about the high turnover of its employees and
decides to investigate whether they are more likely to stay if they are given
training. On 1 January one year the company was employing 256 people
(excluding those about to retire). During that year a record was kept of
who received training as well as who left the company. The results are
summarised in this table.
Still employed Left company
Total
Given training
109
43
152
Not given training
60
44
104
Totals
169
87
256
(i)
Find the probability that a randomly selected employee:
(a) received training
(b) received training and did not leave the company.
(ii)
Are the events T and S independent?
(iii) Find the probability that a randomly selected employee:
(a) did not leave the company, given that the person had received training
(b) did not leave the company, given that the person had not received
training.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F518d0ef9-8f11-462c-8c74-a8195a6c4ba9%2F6e99e42f-e0ab-4bd8-ab9b-d541d85a81f4%2Fht33r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A company is worried about the high turnover of its employees and
decides to investigate whether they are more likely to stay if they are given
training. On 1 January one year the company was employing 256 people
(excluding those about to retire). During that year a record was kept of
who received training as well as who left the company. The results are
summarised in this table.
Still employed Left company
Total
Given training
109
43
152
Not given training
60
44
104
Totals
169
87
256
(i)
Find the probability that a randomly selected employee:
(a) received training
(b) received training and did not leave the company.
(ii)
Are the events T and S independent?
(iii) Find the probability that a randomly selected employee:
(a) did not leave the company, given that the person had received training
(b) did not leave the company, given that the person had not received
training.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 4 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![Elementary Statistics: Picturing the World (7th E…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
![Introduction to the Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman