If an accident report is selected randomly from the 500 reports, (a) What is the

Question

If an accident report is selected randomly from the 500 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?

Factory workers are constantly encouraged to practice zero tolerance when it comes to accidents in factories. Accidents can occur because the working environment or conditions themselves are unsafe. On the other hand, accidents can occur due to PM. (day shift), 3:00 P.M. to 11:00 P.M. (evening shift), or 11:00 P.M. to 7:00 A.M. (graveyard shift), may be a factor. During the last year, 500 accidents have occurred. The percentages of the accidents for the condition combinations are shown in the Click the icon to view the data on accidents.

Explanation / Answer

a) P(accident occurred on the graveyard shift) = 0.04 + 0.31 = 0.35

b) P(accident occurred due to human error) = 0.30 + 0.27 + 0.31 = 0.88

c) P(accident occurred due to unsafe conditions) = 0.04 + 0.04 + 0.04 = 0.12

d) P(accident occurred on either the evening or the graveyard shift) = 0.04 + 0.27 + 0.04 + 0.31 = 0.66

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