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 50 20
Answer
Explanation:
Step1: Calculate the number of defective products before testing
The defect - rate is $0.95%=0.0095$, and the number of manufactured products is $n = 100000$. So the number of defective products before testing is $100000\times0.0095=950$.
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 proportion of defective products that pass the test is $(1 - 0.98)=0.02$.
Step3: Calculate the number of defective products delivered
The number of defective products delivered is the number of defective products before testing times the proportion of defective products that pass the test, which is $950\times0.02 = 19\approx20$.
Answer:
20