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 50 2,000 20
Answer
Explanation:
Step1: Calculate number of defective products before test
The defect - rate is 0.95% or 0.0095. If 100,000 products are manufactured, 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 determining 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 delivered is the number of defective products that the test missed. The number of defective products that the test missed is $950 - 931=19\approx20$.
Answer:
20