Norman’s fourth largest cracker factory employs 20 workers on the day shift, 15 works on the swing shift, and 10 workers on the graveyard shift. You’re a quality control consultant, and you want to select six of these workers for in-depth interviews. Suppose the selection is made in such a way that any particular group of six workers has the same chance of being selected as does any other group (that is, drawing six slips without replacement from among the 45). a. How many selections result in all six workers coming from the day shift? What is the probability that all six selected workers will be from the day shift? b. What is the probability that all six selected workers will be from the same shift? c. What is the probability that at least two different shifts will be represented among the selected workers? d. What is the probability that at least one of the shifts will be unrepresented in the sample of workers

Norman’s fourth largest cracker factory employs 20 workers on the day shift, 15 works on the swing shift, and 10 workers on the graveyard shift. You’re a quality control consultant, and you want to select six of these workers for in-depth interviews. Suppose the selection is made in such a way that any particular group of six workers has the same chance of being selected as does any other group (that is, drawing six slips without replacement from among the 45). a. How many selections result in all six workers coming from the day shift? What is the probability that all six selected workers will be from the day shift? b. What is the probability that all six selected workers will be from the same shift? c. What is the probability that at least two different shifts will be represented among the selected workers? d. What is the probability that at least one of the shifts will be unrepresented in the sample of workers

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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5. Norman’s fourth largest cracker factory employs 20 workers on the day shift, 15 works on the
swing shift, and 10 workers on the graveyard shift. You’re a quality control consultant, and you
want to select six of these workers for in-depth interviews. Suppose the selection is made in
such a way that any particular group of six workers has the same chance of being selected as
does any other group (that is, drawing six slips without replacement from among the 45).
a. How many selections result in all six workers coming from the day shift? What is the
probability that all six selected workers will be from the day shift?
b. What is the probability that all six selected workers will be from the same shift?
c. What is the probability that at least two different shifts will be represented among the
selected workers?
d. What is the probability that at least one of the shifts will be unrepresented in the
sample of workers?

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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 5 of these workers for in-depth interviews. Suppose the selection is made in such a way that any particular group of 5 workers has the same chance of being selected as does any other group (drawing 5 slips without replacement from among 24).a. How many selections result in all 5 workers coming from the day shift? What is the probability that all 5 selected workers will be from the day shift?b. What is the probability that all 5 selected workers will be from the same shift?c. What is the probability that at least two different shifts will be represented among the selected workers?d. What is the probability that at least one of the shifts will be unrepresented in the sample of workers?
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