A certain factory operates on three different shifts. Over the last year, 200 ac

Question

A certain factory operates on three different shifts. Over the last year, 200 accidents have occurred at the factory. Some of these can be attributed at least in part to unsafe working conditions, whereas the others are unrelated to working conditions. The accompanying table gives the percentage of accidents falling in each type of accident-shift category. Suppose one of the 200 accident reports is randomly selected from a pile of reports, and the shift and type of accident are determined. What is the probability that the selected accident was attributed to unsafe conditions?

Explanation / Answer

The probability that the selected accident was attributed to unsafe conditions is

P(unsafe condition) = P(unsafe condition and day)+ P(unsafe condition and swing)+ P(unsafe condition and night) = 0.10+0.08+0.05 = 0.23

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