2.66 Factory workers are constantly encouraged to practice zero tolerance when it comes to accidents in factories. Accidents can occur because the working en- vironment 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 A.M.-3:00 P.M. (day shift), 3:00 P.M.-1l: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 acci- dents have occurred. The percentages of the accidents for the condition combinations are as follows: Unsafe Human Shift Day Evening Graveyard Conditions Error 5% 6% 2% If an accident report is selected randomly from the 300 32% 25% 30% 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?

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2.66 Factory workers are constantly encouraged to
practice zero tolerance when it comes to accidents in
factories. Accidents can occur because the working en-
vironment 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 A.M.-3:00 P.M. (day shift), 3:00 P.M.-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 acci-
dents have occurred. The percentages of the accidents
for the condition combinations are as follows:
Unsafe
Human
Shift
Day
Evening
Graveyard
Conditions Error
5%
6%
2%
If an accident report is selected randomly from the 300
32%
25%
30%
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:2.66 Factory workers are constantly encouraged to practice zero tolerance when it comes to accidents in factories. Accidents can occur because the working en- vironment 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 A.M.-3:00 P.M. (day shift), 3:00 P.M.-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 acci- dents have occurred. The percentages of the accidents for the condition combinations are as follows: Unsafe Human Shift Day Evening Graveyard Conditions Error 5% 6% 2% If an accident report is selected randomly from the 300 32% 25% 30% 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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