An easy Example of Hypergeometric Distribution

[pearsoninst]

Thanks Reinhard, i corrected it .

[pearsoninst]

/*Question:50 students 40 male ,10 Female you select 5 person what is the probability 4 will be male */
/*x = success.N = Population . R = Number of total x in N (Out of total population 50 ,Male is 40 and Female is 10. n = select  */

data prob;
/* PDF ('HYPER', x, N, R, n <, o>) */
Proba = PDF('HYPER',4,50,40,5);
proc Print;
run;

/* 5 selected 4 will be female */
data prob;
/* PDF ('HYPER', x, N, R, n */
Proba = PDF('HYPER',4,50,10,5);
proc Print;
run;

[FreelanceReinh]

The question in line 1 is: "... what is the probability 4 will be male".

The answer (0.431337...) could be obtained with this one-liner:

%put %sysfunc(pdf(HYPE,4,50,40,5));

But in fact I, too, would be more interested in the question you switched to: what the chances are that "4 will be female."  (The result is less pleasing, though: only 0.003964...)

Did you perhaps intend to calculate PDF('HYPER',4,50,40,5) in the first of the two data steps?

[Rick_SAS]

I'm not sure wqhat your question is.  If you want to learn about how to simulate data from the hypergeometric distribution in SAS, see the article "Balls and urns: Discrete probability functions in SAS"

If you want to ask about how to compute probabilities for various scenarios, see "Four essential functions for statistical programmers."