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Math Help - Hypergeometric Distribution Question

  1. #1
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    Hypergeometric Distribution Question

    Hi I can't seem to understand and solve this question. Can someone please help me?

    Q: In a math class of 20 students, 5 are bilingual. If the class is randomly divided into 4 teams,

    a) what is the probability that a team has fewer than 2 bilingual students?
    b) what is the expected number of bilingual students on a team?

    A: a) 0.6339
    b) 1.25

    I can't figure out how to deal with the 4 teams. Using the standard hypergeometric formula, I've come up with:
    n=20
    a=5
    x= variable
    r=4

    If someone could please show me what to solve this, that would be great.


    Thanks
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  2. #2
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    Quote Originally Posted by MATHDUDE2 View Post
    Hi I can't seem to understand and solve this question. Can someone please help me?

    Q: In a math class of 20 students, 5 are bilingual. If the class is randomly divided into 4 teams,
    a) what is the probability that a team has fewer than 2 bilingual students?
    Don't make it too difficult.

    We are choosing 5 from the 20. Of these, there are two cases, if there is 1 bilingual and when there are no bilingual.

    For the 1 case, we choose 1 from the 5 binlingual and the other 4 come from the 15 non-bilingual.

    \frac{\binom{5}{1}\cdot\binom{15}{4}}{\binom{20}{5  }}

    For the 0 case, \frac{\binom{5}{0}\cdot\binom{15}{5}}{\binom{20}{5  }}

    Add them.


    b) what is the expected number of bilingual students on a team?
    Well, 5/20 is 1/4 of the students are bilnigual. There are 5 on a team. What is 1/4 of 5?. Easy enough.
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  3. #3
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    OHH i see now. Thanks!
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