Question

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? 50 950 20 2,000

Explanation:

Step1: Calculate number of defective products initially

The defect rate is 0.95%, so number of defective products out of 100,000 is $100000\times0.95\% = 100000\times\frac{0.95}{100}=950$.

Step2: Calculate number of defective products not detected (delivered)

The test is 98% accurate, so the error rate (probability of not detecting a defective product) is $1 - 98\%=2\% = 0.02$.
Number of defective products delivered is $950\times0.02 = 19\approx20$.

Answer:

20