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 50 950 20

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 50 950 20

Answer

Explanation:

Step1: Calculate number of defective products before test

The defect - rate is 0.95% or 0.0095. If 100,000 products are manufactured, the number of defective products before test is $100000\times0.0095 = 950$.

Step2: Calculate number of non - defective products before test

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

Step3: Calculate number of defective products mis - classified as non - defective

The test is 98% accurate at determining if a video game is defective. So the percentage of defective products that are mis - classified as non - defective is $(1 - 0.98)=0.02$. The number of defective products mis - classified as non - defective is $950\times0.02=19$.

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

The percentage of non - defective products that are mis - classified as defective is $(1 - 0.98)=0.02$. The number of non - defective products mis - classified as defective is $99050\times0.02 = 1981$. But we are interested in the number of defective products delivered, so we focus on the mis - classified defective ones.

Answer:

19 (closest to 20 among the given options) So the answer is D. 20.