Find the mean and the variance of the hypergeometric distribution with n = 3, N = 16, and M = 10, using (a) the results of Exercise 64;
(b) the formulas of Theorem 7.
Exercise 64
Among the 16 applicants for a job, 10 have college degrees. If 3 of the applicants are randomly chosen for interviews, what are the probabilities that
(a) none has a college degree;
(b) 1 has a college degree;
(c) 2 have college degrees;
(d) all 3 have college degrees?
Theorem 7
The mean and the variance of the hypergeometric distribution are
