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Math Help - hypergeometric distibution

  1. #1
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    hypergeometric distibution

    I just need some help on where to get going with this because i tried but cant seem where to go!!!

    Show that the hypergeometirc p.m.f given by P(x=K)= (r choose k)(N-r choose n-k)/(Nchoose n)
    will converge to the binomial distirubtion (n choose k)p^k(1-p)^n-k if N=pr and N approcrahes infinity

    I was thinking of rearranging N to to obtain r=N/p and then puttin that into teh p.m.f but im not sure whether this the right pathway???
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  2. #2
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    Quote Originally Posted by calculusgeek View Post
    I just need some help on where to get going with this because i tried but cant seem where to go!!!

    Show that the hypergeometirc p.m.f given by P(x=K)= (r choose k)(N-r choose n-k)/(Nchoose n)
    will converge to the binomial distirubtion (n choose k)p^k(1-p)^n-k if N=pr and N approcrahes infinity

    I was thinking of rearranging N to to obtain r=N/p and then puttin that into teh p.m.f but im not sure whether this the right pathway???
    Read this: The Hypergeometric Distribution

    Part 20 is the relevant bit.
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  3. #3
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    thank for your help, i have tried doing that but is it a thing where i have to subst pr for N in teh hypergeometirc distribution and then work my way thorugh that or do i subst in teh binomial dist to show the hypergeometric

    i tried to the first however when trying to evalute the binomial coffiencts to see if r factors os i can cancel them out i get into a big fat mess so im unsure if thsi is the right way

    also if N approaches infinity since R/N apporcahes p doesn't p alos approcah infinity
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