A company manufacturers video games with a current defect rate of 0.95%. To make sure as few defective video games are delivered as possible, they are 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.

Question

Mathematics

Gabriel Downs

1 March, 03:56

A company manufacturers video games with a current defect rate of 0.95%. To make sure as few defective video games are delivered as possible, they are 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.

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Nathen Beasley · Answer 1

There would be about 19 defective products delivered.

First, let's start with the number of defective games.

100000 x 0.0095 = 950

Now, the test will catch 98% of those defects. That means 2% of the defects will get through to the consumers.

0.02 x 950 = 19