Question

1) A production facility employs 12 workers on the day shift, 9 workers on the swing...

1)

A production facility employs 12 workers on the day shift, 9 workers on the swing shift, and 10
workers on the graveyard shift. A quality control consultant is to select 5 of these workers for in depth interviews. Suppose the selection is made in such a way that any group of 4 workers has
the same chance of being selected as does any other group (drawing 4 slips without replacement
from among 28)

a) How many selections results in all 4 workers coming from the swing shift?

b) What is the probability that all four workers come from the same shift?

c) What is the probability that at least two different shifts will be represented among the selected workers?

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