A production facility employs 17 workers on the day shift, 12 workers on the swi

Question

A production facility employs 17 workers on the day shift, 12 workers on the swing shift, and 9 workers on the graveyard shift. A quality control consultant is to randomly select 5 of these workers for in-depth interviews. (a) What is the probability that all 5 selected workers will be from the same shift? (b) What is the probability that at least two different shifts will be represented among the selected workers? (c) What is the probability that exactly 2 of the workers in the sample come from the day shift? 0.014152 0.985842 0.3606

Explanation / Answer

Total workers = 17 + 12 + 9 = 38

c) P(exactly 2 wokers from day shift) = 17C2 * 21C3 / 38C5

                                                           = 136 * 1330 / 501942

                                                           = 0.360360 (ans)

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