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