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? 2,000 20 950 50
Answer
Explanation:
Step1: Calculate number of defective products
The defect - rate is $0.95%=0.0095$. If $n = 100000$ products are manufactured, the number of defective products is $n_1=100000\times0.0095 = 950$.
Step2: Calculate number of detected defective products
The test is $98%$ accurate at detecting defective products. So the number of detected defective products is $n_2 = 950\times0.98=931$.
Step3: Calculate number of undetected defective products
The number of defective products that are delivered (undetected) is $n_3=950 - 931=19\approx20$.
Answer:
20