A corporation has 11 manufacturing plants. Of these, 7 are domestic and 4 are located outside the United States. Each year a performance evaluation is conducted for 4 randomly selected plants. What is the probability that a performance evaluation will include exactly 1 plant outside the United States?
A) 0.4242
B) 0.3776
C) 0.3523
D) 0.4696

Question

Quizplus · Accepted Answer

The probability of selecting exactly 1 plant outside the United States is 0.4242. This can be calculated using the hypergeometric distribution, which is a probability distribution that describes the number of successes in a sequence of n independent experiments, each of which has a constant probability of success. In this case, the number of successes is the number of plants outside the United States that are selected, the number of trials is the number of plants that are selected, and the probability of success is the probability of selecting a plant outside the United States.

A Corporation Has 11 Manufacturing Plants