Ex 1: A production facility employs 20 workers on the day shift, 15 workers on the swing shift, nd 10 workers on the graveyard shift. A quality control consultant is to select 6 of these workers for 1-depth interviews. Suppose the selection is made in such a way that any particular group of 6 workers as the same chance of being selected as does any other group (drawing 6 slips without replacement rom among 45). a) How many selections result in all 6 workers coming from the day shift? b) What is the probability that all 6 selected workers will be from the day shift? c) What is the probability that all 6 selected workers will be from the same shift2

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Ex 1: 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).
a) How many selections result in all 6 workers coming from the day shift?
b) What is the probability that all 6 selected workers will be from the day shift?
c) What is the probability that all 6 selected workers will be from the same shift?
Transcribed Image Text:Ex 1: 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). a) How many selections result in all 6 workers coming from the day shift? b) What is the probability that all 6 selected workers will be from the day shift? c) What is the probability that all 6 selected workers will be from the same shift?
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