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 20 2,000 50

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 20 2,000 50

Answer

Explanation:

Step1: Calculate number of defective products

The defect - rate is 0.95% or 0.0095. If 100000 products are manufactured, the number of defective products is $100000\times0.0095 = 950$.

Step2: Calculate number of undetected defective products

The test is 98% accurate at detecting defective products. So the percentage of defective products that go undetected is $(1 - 0.98)=0.02$. The number of defective products that are delivered is $950\times0.02=19\approx20$.

Answer:

20