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# Probability - hypergeometric disrtribtuion

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Intern
Joined: 17 Sep 2017
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17 Sep 2017, 17:50
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A hiring manager for an engineering firm needs to fill 10 positions. She has narrowed the potential candidates down to a group of 20. among the 10 she will ultimately choose, she wants to be sure she selected the 5 best engineers.

so it is hypergeometric distribution and not binomial because there is a finite number of places to be filled. and a success in the context of the problem would be the hiring manager selected the 5 best engineers out of the group of 20.

calculate the probability that the hiring manager chose all 5 of the best engineers
calculate the probability that she chose only 2 of the best engineers
calculate the probability that she chose at least 2 of the best engineers

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17 Sep 2017, 19:55
CIAVALE wrote:
A hiring manager for an engineering firm needs to fill 10 positions. She has narrowed the potential candidates down to a group of 20. among the 10 she will ultimately choose, she wants to be sure she selected the 5 best engineers.

so it is hypergeometric distribution and not binomial because there is a finite number of places to be filled. and a success in the context of the problem would be the hiring manager selected the 5 best engineers out of the group of 20.

calculate the probability that the hiring manager chose all 5 of the best engineers
calculate the probability that she chose only 2 of the best engineers
calculate the probability that she chose at least 2 of the best engineers

Hi CIAVALE,

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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Probability - hypergeometric disrtribtuion   [#permalink] 17 Sep 2017, 19:55
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