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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% 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?

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?

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
Problem 14AEXP
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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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