My Notes A production facility employs 10 workers on the day shift, 8 workers on

Question

My Notes A production facility employs 10 workers on the day shift, 8 workers on the swing shift, and 6 workers on the gra for in-depth intervilews. Suppose the selection is made in such a way that any particular group of s workers has the same chance of being selected as does any other group (drawing 6 slips without replacement from among 24) i veyard shift. A quality control consultant is to select 5 of these workers (a) How many selections result in all 6 workers coming from the day shift? 10 what is the probability that all 5 selocted workers will be from the day shift? (Round your answer to four decimal places.) (b) What is the probability that all s selected workers wi be from the same shift? (Round your answer to four decimal places. 0018 (c) What is the probability that at least two different shifts will be represented among the selected workers? (Round your answar to four decimal pleces) (d) What is the probability thst at least one of the shifts wil be unrepresented in the sample of workers? (Round your answer to four decimal places.J 0019 My Notes Ask You 1/2 points 1 Previous Answers Devore Statd 2E

Explanation / Answer

d) Total number of selections possible = 24C6 = 134596

Now, atleast one shift would not be present will be the sum of combinations when 1 shift is not present and when 2 shifts are not present.

So,

Selections in which atleast one shift is not present = 10+8C6 + 8+6C6 + 10+6C6 + 10C6 + 8C6 + 6C6 = 29814

Hence,

P(Atleast one shift is not present) = 29814/ 134596 = 0.2215

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