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Consider the hypergeometric distribution of Example 1.7.(a) Usi... | Filo

SOLVED:Prove the formula for the mean of the hypergeometric distribution with the parameters n, a, and N, namely, μ=n ·(a)/(N). [Hint: Make use of the identity ∑r=0^k( m r)( s k-r)=( m s k) which can be obtained by equating the coefficients of x^k in (1 x)^m(1 x)^s and in .(1 x)^m s .]

If we sample from a small finite population without replacement, the binomial distribution should not be used because the events are not independent. If sampling is done without replacement and the outcomes belong to one of two types, we can use the hypergeometric distribution. If a population has A objects of one type (such as lottery numbers you selected), while the remaining B objects are of the other type (such as lottery numbers you didn't select), and if n objects are sampled without repla

Binomial, Poisson and hypergeometric distributions - mathXplain