A company manufactures video games with…

Maths Questions

A company manufactures video games with a current defect rate of 0.95%. To minimize the number of defective video games delivered, they test each game before delivery. The test is 98% accurate in identifying defective video games. If 100,000 products are manufactured and delivered in a month, approximately how many defective products are expected to be delivered?

Answer

To find the approximate number of defective products expected to be delivered, we apply the principles of conditional probability. The rate of defective video games is 0.95%, meaning about 0.0095 probability of a product being defective. With a test accuracy of 98%, we look for the likelihood of a product being defective when it tests positive. Thus, the computation translates into: Expected defective products = Probability of defectiveness √ó Total produced = 0.0095 √ó 100,000. This results in around 950 defective items projected for delivery.

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