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?\n2,000\n50\n950\n20
Answer
Explanation:
Step1: Calculate number of defective products
The defect - rate is 0.95%, and the number of manufactured products is 100,000. So the number of defective products is $100000\times0.95%=100000\times\frac{0.95}{100}=950$.
Step2: Calculate number of undetected defective products
The test is 98% accurate at detecting defective products. So the percentage of defective products that pass the test (undetected) is $(1 - 98%)=2%$. The number of undetected defective products is $950\times2%=950\times\frac{2}{100}=19\approx20$.
Answer:
20