Compute the Probabilities of Hypergeometric Experiments
-A manufacturer receives a shipment of 160 laptop computers of which 12 are defective. To test the shipment, the quality control engineer randomly selects 25 computers from the shipment and tests them. The random variable X represents the number of defective computers in the sample. What is the probability of obtaining 4 defective computers
A) 0.0728
B) 0.0779
C) 0.0856
D) 0.0655

Question

Quizplus · Accepted Answer

The probability of obtaining 4 defective computers is 0.0728. 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 defective computers, the number of experiments is the number of computers tested, and the probability of success is the proportion of defective computers in the shipment.