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? 20 50 2,000 950

Explanation:

Step1: Find number of defective games initially

Total products = 100,000, defect rate = 0.95% = 0.0095.
Number of defective games = \( 100000 \times 0.0095 = 950 \).

Step2: Find defective games not detected (false negatives)

Test accuracy = 98%, so error rate = \( 1 - 0.98 = 0.02 \).
Defective games delivered = \( 950 \times 0.02 = 19 \approx 20 \).

Answer:

20