The random variable x has a hypergeometric distribution,and the population contains 12 items.If you wanted to find the number of defects in a random sample of 3 selected items when the population contains 5 defects,identify the N,n,and r.
A) N = 3,n = 12,r = 5
B) N = 5,n = 12,r = 7
C) N = 12,n = 5,r = 3
D) N = 12,n = 3,r = 5

Question

Quizplus · Accepted Answer

In the hypergeometric distribution, N represents the population size, n represents the sample size, and r represents the number of "successes" in the population. In this case, we are interested in finding the number of defects (successes) in a sample of 3 items, when there are 5 defects in the population of size 12. Therefore, N = 12, n = 3, and r = 5.

Option A is incorrect because N should not be less than n. Option B is incorrect because r should not be greater than N. Option C is incorrect because n should not be greater than r. Therefore, the correct choice is D.

The Random Variable X Has a Hypergeometric Distribution,and the Population