2.126 During bad economic times, industrial workers are dismissed and are often replaced by machines. The history of 100 workers whose loss of employment is at- tributable to technological advances is reviewed. For each of these individuals, it is determined if he or she was given an alternative job within the same company, found a job with another company in the same field, found a job in a new field, or has been unemployed for 1 year. In addition, the union status of each worker is recorded. The following table summarizes the results. Union Nonunion Same Company New Company (same field) New Field 40 15 13 10 4 11 Unemployed (a) If the selected worker found a job with a new com- pany in the same field, what is the probability that the worker is a union member? (b) If the worker is a union member, what is the prob- ability that the worker has been unemployed for a year?
2.126 During bad economic times, industrial workers are dismissed and are often replaced by machines. The history of 100 workers whose loss of employment is at- tributable to technological advances is reviewed. For each of these individuals, it is determined if he or she was given an alternative job within the same company, found a job with another company in the same field, found a job in a new field, or has been unemployed for 1 year. In addition, the union status of each worker is recorded. The following table summarizes the results. Union Nonunion Same Company New Company (same field) New Field 40 15 13 10 4 11 Unemployed (a) If the selected worker found a job with a new com- pany in the same field, what is the probability that the worker is a union member? (b) If the worker is a union member, what is the prob- ability that the worker has been unemployed for a year?
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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Transcribed Image Text:2.126 During bad economic times, industrial workers
are dismissed and are often replaced by machines. The
history of 100 workers whose loss of employment is at-
tributable to technological advances is reviewed. For
each of these individuals, it is determined if he or she
was given an alternative job within the same company,
found a job with another company in the same field,
found a job in a new field, or has been unemployed for
1 year. In addition, the union status of each worker is
recorded. The following table summarizes the results.
Union Nonunion
Same Company
New Company (same field)
New Field
40
15
13
4
10
11
Unemployed
2
5
(a) If the selected worker found a job with a new com-
pany in the same field, what is the probability that
the worker is a union member?
6.
(b) If the worker is a union member, what is the prob-
ability that the worker has been unemployed for a
year?
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