Suppose a man has ordered twelve 1-gallon paint cans of a particular color (lilac)from the local paint store in order to paint his motherʹs house. Unknown to the man, three of these cans contains
An incorrect mix of paint. For this weekendʹs big project, the man randomly selects four of these
1-gallon cans to paint his motherʹs living room. Let x = the number of the paint cans selected that
Are defective. Unknown to the man, x follows a hypergeometric distribution. Find the mean of this
Distribution.
A)1
B)12
C)3
D)4

Question

Quizplus · Accepted Answer

The mean of a hypergeometric distribution is given by $ \mu = \frac{N_r}{N} \times n $, where $N_r$ is the number of successes in the population, $N$ is the population size, and $n$ is the sample size. Here, $N_r = 3$ (defective cans), $N = 12$ (total cans), and $n = 4$ (cans chosen). Thus, $ \mu = \frac{3}{12} \times 4 = 1$.

Suppose a Man Has Ordered Twelve 1-Gallon Paint Cans of a Particular