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Math Help - Binomial Distribution

  1. #1
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    Binomial Distribution

    Hiya guys, thanks in advance

    There are 15children in a class
    1)what is the probability that i)0 ii)1 iii)2 iiii) at least 3 were born in january.

    Thank you
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  2. #2
    Junior Member roy_zhang's Avatar
    Joined
    Mar 2008
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    Let p be the probability of a child who were born in January; q be the probability of a child who were NOT born in January.

    It is easy to see that p=\frac{1}{12} and q=\frac{11}{12}

    According to the Binomial Distribution: p(y)=\binom{n}{y}p^yq^{n-y}

    Here we have n=15, for (i), (ii) and (iii), you can let y=0, y=1 and y=2 respectively.
    Note for (iv), you can find the probability by p(y\ge 3)=1-p(y\le 2)

    Roy
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