SOLUTION: A production facility employs 20 workers on the day shift, 15 workers on the swing shift, and 10
workers on the graveyard shift. A quality control consultant is to select 6 of the
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-> SOLUTION: A production facility employs 20 workers on the day shift, 15 workers on the swing shift, and 10
workers on the graveyard shift. A quality control consultant is to select 6 of the
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Question 565269: A production facility employs 20 workers on the day shift, 15 workers on the swing shift, and 10
workers on the graveyard shift. A quality control consultant is to select 6 of these workers for in
depth interviews. Suppose the selection is made in such a way that any particular group of 6
workers has the same chance of being selected as does any other group (drawing 6 slips without
replacement from among 45). What is the probability that at least two different shifts will be
represented among the selected workers? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A production facility employs 20 workers on the day shift, 15 workers on the swing shift, and 10
workers on the graveyard shift. A quality control consultant is to select 6 of these workers for in
depth interviews. Suppose the selection is made in such a way that any particular group of 6
workers has the same chance of being selected as does any other group (drawing 6 slips without
replacement from among 45). What is the probability that at least two different shifts will be
represented among the selected workers?
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P(at least 2 shifts) = 1 - P(1 shift represented)
= 1 - [20C6 + 15C6 + 10C6]/45C6
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= 1 - [43975/8145060]
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= 0.9946
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Cheers,
Stan H.
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