A company receives complaints about their product bending and needs to determine how many faulty products are going undetected The company uses a scanning device that places a mark on each defective product that it detects on the production line. However not all defective products are detected by the scanner, and sometimes it marks a product which is not defective. When a product is not defective, the scanner marks it 5% of the time. When a product is defective, the scanner marks it 98% of the time. The quality control department reports that 4% of all products are defective. Which option will calculate the probability that the product is marked?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 26PPS
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A company receives complaints about their product bending and needs to determine how many faulty products are going undetected.
The company uses a scanning device that places a mark on each defective product that it detects on the production line.
However not all defective products are detected by the scanner, and sometimes it marks a product which is not defective.
When a product is not defective, the scanner marks it 5% of the time.
When a product is defective, the scanner marks it 98% of the time.
The quality control department reports that 4% of all products are defective.
Which option will calculate the probability that the product is marked?
Transcribed Image Text:A company receives complaints about their product bending and needs to determine how many faulty products are going undetected. The company uses a scanning device that places a mark on each defective product that it detects on the production line. However not all defective products are detected by the scanner, and sometimes it marks a product which is not defective. When a product is not defective, the scanner marks it 5% of the time. When a product is defective, the scanner marks it 98% of the time. The quality control department reports that 4% of all products are defective. Which option will calculate the probability that the product is marked?
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