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# A certain factory operates three different shifts. Over ISBN: 9780321629111 32

## Solution for problem 20E Chapter 2

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Problem 20E

A certain factory operates 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 file of reports, and the shift and type of accident are determined. a?? hat are the simple events? b?. ?What is the probability that the selected accident was attributed to unsafe conditions? c?. ?What is the probability that the selected accident did not occur on the day shift?

Step-by-Step Solution:

Answer Step 1 of 3 a)A:The set accidents happened in the day shift B:The set accidents happened in the swing shift C:The set accidents happened in the night shift Step 2 of 3 b) the probability that the selected accident was attributed to unsafe conditions =(10% of 200+8% of 200+5%of 200)/200 =(20+16+10)/200 =46/200 =0.23

Step 3 of 3

##### ISBN: 9780321629111

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