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Math Help - Random Sample

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    Random Sample

    In a large university, 15% of the students are female if a random sample of twenty students is selected.

    What is the probability that sample contains exactly four female students?

    What is the expected number of female students?

    Does this mean use the Binomial Probability Function?
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  2. #2
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    Quote Originally Posted by hrunup View Post
    In a large university, 15% of the students are female if a random sample of twenty students is selected.

    What is the probability that sample contains exactly four female students?

    What is the expected number of female students?

    Does this mean use the Binomial Probability Function?
    Yes.

    X is the random variable number of females in sample.

    X ~ Binomial(n = 20, p = 0.15)

    Find Pr(X = 4) and E(X).
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