Consider an assembly line with 50 steps that are carried out sequentially. Each
ID: 452322 • Letter: C
Question
Consider an assembly line with 50 steps that are carried out sequentially. Each of the 50 steps has a defect probability of 1%. The final product produced on the assembly line is defective if any one of the 50 steps made a defect. At the end of the assembly line there are two operators independently inspecting the product. Each of them is recognizing a defective product with a 90% probability. Assuming that the product is not defective, it is moved to the shipping department. Otherwise, the product is scrapped. Probability that a defective product is produced (independent of the defect being found or not) (in decimal form): What is the probability that a defective product is moved to the shipping department?
Explanation / Answer
Probability of defective product is produced=1-(1-0.01)^50=0.395