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? 950 2,000 20 50
Answer
Explanation:
Step1: Calculate number of defective products before test
The defect - rate is 0.95% or 0.0095. The number of products manufactured is 100000. So the number of defective products before test is $100000\times0.0095 = 950$.
Step2: Calculate number of defective products detected
The test is 98% accurate at detecting defective products. So the number of defective products detected is $950\times0.98=931$.
Step3: Calculate number of defective products delivered
The number of defective products that are not detected (and thus delivered) is $950 - 931=19\approx20$.
Answer:
20