Problem No. 8 In a construction site, the management decided to implement a three (3) shift scheme to maximize the work of its employees to meet the project's deadline. Moreover, workers are constantly encouraged to practice zero tolerance when it comes to accidents in construction sites. Accidents can occur because the working environment or conditions themselves are unsafe. On the other hand, accidents can occur due to carelessness or so- called human error. In addition, the worker's shift, 7:00-3:00 P.M. (day shift), 3:00-11:00 P.M. (evening shift), or 11:00 P.M. - 7:00 A.M. (graveyard shift), may be a factor. During the last year, 300 accidents have occurred. The percentages of the accidents for the condition combinations are as follows: Shift Unsafe Conditions Human Error Day Evening Graveyard 5% 6% 32% 25% 2% 30% If an accident report is selected randomly from the 300 reports, a. What is the probability that the accident occurred on the graveyard shift? b. What is the probability that the accident occurred due to human error? c. What is the probability that the accident occurred due to unsafe conditions?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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Problem No. 8
In a construction site, the management decided to implement a three (3) shift scheme to
maximize the work of its employees to meet the project's deadline. Moreover, workers are
constantly encouraged to practice zero tolerance when it comes to accidents in
construction sites. Accidents can occur because the working environment or conditions
themselves are unsafe. On the other hand, accidents can occur due to carelessness or so-
called human error. In addition, the worker's shift, 7:00-3:00 P.M. (day shift), 3:00-11:00 P.M.
(evening shift), or 11:00 P.M. - 7:00 A.M. (graveyard shift), may be a factor. During the last
year, 300 accidents have occurred. The percentages of the accidents for the condition
combinations are as follows:
Shift
Unsafe Conditions
Human Error
Day
Evening
Graveyard
5%
32%
6%
25%
2%
30%
If an accident report is selected randomly from the 300 reports,
a. What is the probability that the accident occurred on the graveyard shift?
b. What is the probability that the accident occurred due to human error?
c. What is the probability that the accident occurred due to unsafe conditions?
d. What is the probability that the accident occurred on either the evening or the
graveyard shift?
Transcribed Image Text:Problem No. 8 In a construction site, the management decided to implement a three (3) shift scheme to maximize the work of its employees to meet the project's deadline. Moreover, workers are constantly encouraged to practice zero tolerance when it comes to accidents in construction sites. Accidents can occur because the working environment or conditions themselves are unsafe. On the other hand, accidents can occur due to carelessness or so- called human error. In addition, the worker's shift, 7:00-3:00 P.M. (day shift), 3:00-11:00 P.M. (evening shift), or 11:00 P.M. - 7:00 A.M. (graveyard shift), may be a factor. During the last year, 300 accidents have occurred. The percentages of the accidents for the condition combinations are as follows: Shift Unsafe Conditions Human Error Day Evening Graveyard 5% 32% 6% 25% 2% 30% If an accident report is selected randomly from the 300 reports, a. What is the probability that the accident occurred on the graveyard shift? b. What is the probability that the accident occurred due to human error? c. What is the probability that the accident occurred due to unsafe conditions? d. What is the probability that the accident occurred on either the evening or the graveyard shift?
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