Hitaro9
  • Hitaro9
[Statistics] A production facility employs 10 workers on the day shift, 8 workers on the swing shift, and 6 workers on the graveyard shift. A quality control consultant is to select 4 of these workers for in-depth interviews. Suppose the selection is made in such a way that any particular group of 4 workers has the same chance of being selected as does any other group
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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Hitaro9
  • Hitaro9
What is the probability that one of the shifts will be unrepresented in the sample of workers?
Hitaro9
  • Hitaro9
I got that there are (24)(23)(22)(21)/(4)(3)(2) = 10626 possibilities (18)(17)(16)(15)/(4)(3)(2) = 3060 possibilities where graveyard is unrepresented (16)(15)(14)(13)/(4)(3)(2) = 1820 possibilities where swing is unrepresented (14)(13)(12)(11)/(4)(3)(2) = 1001 possibilities where day is unrepresented So the total probability is (3060+1820+1001)/10626 = .5535, which is incorrect.

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