Factory workers are constantly encouraged to practice zero tolerance when it com

Question

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. In addition, the workers's shift may be a factor, and also human error. During the last year, 300 accidents have occurred. The percentages of the accidents for the condition combinations are as follows: a. What is the probability the accident occurred on the graveyard shift? b. What is the probability the accident occurred due to unsafe conditions? c. What is the probability that the accident occurred either the evening or the graveyard shift?

Explanation / Answer

Solution :-

a) Pr(Graveyard shift) = 2% of 300 + 30% of 300 = 6/300 + 90/300 = 96/300 = 0.32

or simply, 2% + 30% = 32% = 0.32

or we can write, 0.02 + 0.30 = 0.32

b) Pr(Unsafe conditions) = 0.05 + 0.06 + 0.02 = 0.13

c) Pr(E U G) = 0.06 + 0.25 + 0.02 + 0.30 = 0.63

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