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? 20 950 2,000 50
Answer
Explanation:
Step1: Calculate number of defective products
The defect - rate is $0.95%=0.0095$. The number of manufactured products is $n = 100000$. So the number of defective products is $100000\times0.0095=950$.
Step2: Calculate number of undetected defective products
The test is $98%$ accurate at determining if a video - game is defective. So the probability of a defective product not being detected is $1 - 0.98=0.02$.
Step3: Calculate expected number of delivered defective products
Multiply the number of defective products by the probability of non - detection. The expected number of delivered defective products is $950\times0.02 = 19\approx20$.
Answer:
20