I will give FULL points for both answers. thanks. A production facility employs
ID: 2958834 • Letter: I
Question
I will give FULL points for both answers. thanks.
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 G slips without replacement from among 45). What is the probability that at least two different shifts will be represented among t he selected workers? What is the probability that at least one of the shifts will be unrepresented in the sample of workers?Explanation / Answer
a. 20-choose-6 = 38760 and
20-choose-6 / 45-choose-6 = 38760 / 8145060 = 0.476%
b. 20-choose-6 + 15-choose-6 + 10-choose-6 over 45-choose-6 = (38760 + 5005 + 210) / 8145060 = 0.540%