Compute the Probabilities of Hypergeometric Experiments
-An electronics store receives a shipment of 54 flat screen TVs of which 11 are defective. During the quality control inspection, 3 TVs are selected at random from the shipment for testing. The shipment will only be accepted if all 3 TVs pass the inspection. What is the probability that the shipment will be accepted
A) 0.4975
B) 0.5049
C) 0.0085
D) 0.0067

Question

Quizplus · Accepted Answer

The probability of selecting 3 non-defective TVs from a shipment of 54 TVs, of which 11 are defective, is given by the hypergeometric distribution:P(X = 3) = (43 choose 3) * (11 choose 0) / (54 choose 3) = 0.4975Therefore, the probability that the shipment will be accepted is 0.4975.