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A production facility employs 10 workers on the day shirt, 3 workers on the swing shirt, and 5 workers on the graveyard shitt. A quality

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A production facility employs 10 workers on the day shirt, 3 workers on the swing shirt, and 5 workers on the graveyard shitt. 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 or being selected as does any other group (drawing 6 slips without replacement from among 24). (a) How many selections result in all 6 workers Corning from the day shl? selections What is the probability that all 6 selected workers Will be from the day shift? (Round your answer to four decimal places.) (b) What is the probability that all 5 selected workers will be from the same shi" (Round your answer to four decimal places.) (c) What is the probability that at least two different shifts will be represented among the selected workers? (Round your answer to four decimal places.) (d) What is the probability that at least one of the Shifts Will be unrepresented 'ln the sample of workers? (Round your answer to four decimal places.)

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