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 slips 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? Urite vour answer in the format: 0.xxxx)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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)
Transcribed Image 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)
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