Apopulationhas F females and M males. Forarandomsampleofsize n without replacement, explain whythe pmf for Y = numberoffemalesinthesampleis

This is called the hypergeometricdistribution. Itisanalternativetothebinomialforwhich successivetrialsarenotindependent,becausetheprobabilityofaparticularoutcomedepends on thepreviousselections.

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f(y; F, M,n) = (F)(4) (F+M) max(0,n-M) y min(n, F). (2.18)