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
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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.
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.
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