a company manufactures video games with a current defect rate of 0.95%. to make sure as few defective video…
a company manufactures video games with a current defect rate of 0.95%. to make sure as few defective video games are delivered as possible, they are all tested before delivery. the test is 98% accurate at determining if a video game is defective. if 100,000 products are manufactured and delivered in a month, approximately how many defective products are expected to be delivered?
Answer
Explanation:
Step1: Calculate the number of defective products
The defect rate is (0.95%), and the number of manufactured products is (n = 100000). The number of defective products is (N_{defective}=100000\times0.95%=100000\times\frac{0.95}{100}=950).
Step2: Calculate the number of defective products that pass the test
The test is (98%) accurate at determining if a video game is defective. So the probability that a defective product passes the test is (p = 1 - 0.98=0.02). The number of defective products that are delivered is (N = 950\times0.02 = 19\approx20).
Answer:
20