SOLUTION: Suppose there are 500 applicants for five equivalent positions at a factory. Company is able to narrow the field to 30 equally qualified applicants. 7 of the finalists are minority
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Question 339766: Suppose there are 500 applicants for five equivalent positions at a factory. Company is able to narrow the field to 30 equally qualified applicants. 7 of the finalists are minority candidates.Assume that 5 who are chosen are selected randomly from final group of 30.
question:
1. what is the probability that none of the minority is hired?
2. what is the probability that no more than 1 minority candidate is hired?
You can put this solution on YOUR website! Combination of n things taken r at a time: nCr=n!/((n-r)!r!)
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23C5/30C5=33649/142506=.2361 the probability that none of the minority is hired.
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((23C4*7C1)+23C5)/30C5=95634/142506=.6711 the probability that no more than 1 minority candidate is hired.
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Ed
