Only B, C and D please A production facility employs 10 workers on the day shift, 8 workers on the swing shift, and 6 workers on the graveyardshift. A quality control consultant is to select 4 of these workers for in-depth interviews. Suppose the selection is made insuch a way that any particular group of 4 workers has the same chance of being selected as does any other group (drawing4 slips without replacement from among 24).(a) How many selections result in all 4 workers coming from the day shift?210selectionsWhat is the probability that all 4 selected workers will be from the day shift? (Round your answer to four decimalplaces.)0.0198(b) What is the probability that all 4 selected workers will be from the same shift? (Round your answer to fourdecimal places.)0.0268x(c) What is the probability that at least two different shifts will be represented among the selected workers? (Roundyour answer to four decimal places.)0.9732x(d) What is the probability that at least one of the shifts will be unrepresented in the sample of workers? (Roundyour answer to four decimal places.)0.3441x

Answered: A production facility employs 10…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Related questions

Question

Only B, C and D please

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?
210
selections
What is the probability that all 4 selected workers will be from the day shift? (Round your answer to four decimal
places.)
0.0198
(b) What is the probability that all 4 selected workers will be from the same shift? (Round your answer to four
decimal places.)
0.0268
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.)
0.9732
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.)
0.3441
x

Expert Solution

Step 1

Here the given information is

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).

i.e ,

Day shift workers = 10

Swing shift workers= 8

Graveyard shift workers = 6

So,

The total workers = 10+8+6

= 24