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 (drawing 4 slips without replacement from among 24). (a) How many selections result in all 4 workers coming from the day shift? 210 selections What is the probability that all 4 selected workers will be from the day shift? (Round your answer to four decimal places.) 0.0197 x (b) What is the probability that all 4 selected workers will be from the same shift? (Round your answer to four decimal places.) 0.0277 x (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.) 0.9723 x (d) What is the probability that at least one of the shifts will be unrepresented in the sample of workers? (Round your answer to four decimal places.) 0.6667 x Need Help? Read It Watch

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Question
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 (drawing 4 slips without replacement from among
24).
(a) How many selections result in all 4 workers coming from the day shift?
selections
210
What is the probability that all 4 selected workers will be from the day shift? (Round your answer to four decimal places.)
0.0197
x
(b) What is the probability that all 4 selected workers will be from the same shift? (Round your answer to four decimal places.)
0.0277
x
(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.)
x
0.9723
(d) What is the probability that at least one of the shifts will be unrepresented in the sample of workers? (Round your answer to
four decimal places.)
0.6667
x
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Transcribed Image Text: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 (drawing 4 slips without replacement from among 24). (a) How many selections result in all 4 workers coming from the day shift? selections 210 What is the probability that all 4 selected workers will be from the day shift? (Round your answer to four decimal places.) 0.0197 x (b) What is the probability that all 4 selected workers will be from the same shift? (Round your answer to four decimal places.) 0.0277 x (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.) x 0.9723 (d) What is the probability that at least one of the shifts will be unrepresented in the sample of workers? (Round your answer to four decimal places.) 0.6667 x Need Help? Read It Watch It
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