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Math Help - probability help

  1. #1
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    probability help

    A committee of size 10 is selected at random from 14 professional people and 8 are non-professional people. what is the probability that;

    a) Exactly 6 members of the committee are professional people?
    b) No more than 3 members of the committee are professional people.

    Could I use the binomial distribution on this question?

    x = number of professionals in a committe of 10 people. X ~(10, 14/22)

    a) p(x=6)
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  2. #2
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    Re: probability help

    Quote Originally Posted by Tweety View Post
    A committee of size 10 is selected at random from 14 professional people and 8 are non-professional people. what is the probability that;
    a) Exactly 6 members of the committee are professional people?
    b) No more than 3 members of the committee are professional people.
    Could I use the binomial distribution on this question?
    x = number of professionals in a committe of 10 people. X ~(10, 14/22)
    a) p(x=6)
    NO

    This is sampling without replacement, so that does not apply..

    There are \binom{22}{10} total ways to select the committee.

    There are \binom{14}{6}\binom{8}{4} ways for x=6~.
    Thanks from Tweety
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