A production facility employs 6 workers on the day shift,5 workers on the swing shift, and 4 workers on the graveyard shift. A quality control consultant is to select 3 of these workers for in-depth...


A production facility employs 6 workers on the day shift,5 workers on the swing shift, and 4 workers on the graveyard<br>shift. A quality control consultant is to select 3 of these workers for in-depth interviews. Suppose the selection is made in<br>such a way that any group of 3 workers has the same chance of being selected as does any other group (drawing 3 ships<br>without replacement from among 15).<br>a. How many selections result in all 3 workers coming from the graveyard shift ?<br>b. What is the probability that 2 selected workers will be from the day shift and 1 from the graveyard shift?<br>(Write your answer in the format: 0.xxxx)<br>c. What is the probability that all 3 selected workers will be from the same shift?<br>(Write your answer in the format: 0.xxxx)<br>

Extracted text: A production facility employs 6 workers on the day shift,5 workers on the swing shift, and 4 workers on the graveyard shift. A quality control consultant is to select 3 of these workers for in-depth interviews. Suppose the selection is made in such a way that any group of 3 workers has the same chance of being selected as does any other group (drawing 3 ships without replacement from among 15). a. How many selections result in all 3 workers coming from the graveyard shift ? b. What is the probability that 2 selected workers will be from the day shift and 1 from the graveyard shift? (Write your answer in the format: 0.xxxx) c. What is the probability that all 3 selected workers will be from the same shift? (Write your answer in the format: 0.xxxx)

Jun 07, 2022
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