A small manufacturing company will start operating a night shift. There are 20 machinists employed by the

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A small manufacturing company will start operating a night shift. There are 20 machinists employed by the company. 

a. If a night crew consists of 3 machinists, how many different crews are possible?
b. If the machinists are ranked 1, 2, …, 20 in order of competence, how many of these crews would not have the best machinist?
c. How many of the crews would have at least 1 of the 10 best machinists?
d. If a 3-person crew is selected at random to work on a particular night, what is the probability that the best machinist will not work that night?

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Modern Mathematical Statistics With Applications

ISBN: 9783030551551

3rd Edition

Authors: Jay L. Devore, Kenneth N. Berk, Matthew A. Carlton

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