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? 2,000 950 20 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? 2,000 950 20 50

Answer

Explanation:

Step1: Calculate number of defective products before test

The defect - rate is 0.95% of 100,000. So the number of defective products before test is $0.0095\times100000 = 950$.

Step2: Calculate number of non - defective products before test

The number of non - defective products is $100000 - 950=99050$.

Step3: Calculate number of defective products correctly identified

The test is 98% accurate at determining defective products. So the number of defective products correctly identified is $0.98\times950 = 931$.

Step4: Calculate number of defective products mis - identified as non - defective

The number of defective products mis - identified as non - defective is $(1 - 0.98)\times950=0.02\times950 = 19$.

Step5: Calculate number of non - defective products mis - identified as defective

The number of non - defective products mis - identified as defective is $(1 - 0.98)\times99050=0.02\times99050 = 1981$. But this is not relevant to the number of defective products delivered.

Step6: Determine number of defective products delivered

The number of defective products delivered is the number of defective products that were mis - identified as non - defective, which is 19, approximately 20.

Answer:

20