19.X.4.3. Quality Control

Try these first

1. 1.

   What does λ represent in quality control using the Poisson distribution?

   Hint

   Think about what average means in the context of defect occurrence.

2. 2.

   In a manufacturing process, if a company finds 2 defects in 100 products, what is the approximate defect rate?

   Hint

   Calculate the defect rate based on the ratio.

3. 3.

   What does λ stand for in Poisson distribution for quality control?

   • Defect Rate
   • Quality Index
   • Production Time

   Hint

   Recall what λ defines in the context of defects.

4. 4.

   True or False: The Poisson distribution can only model defects in manufacturing.

   • True
   • False

   Hint

   Consider other fields where counts of events can be random.

5. 5.

   A factory claims that, on average, 1 in every 20 products is defective (λ=0.05). If they produce 1000 units, what’s the probability that less than 10 units are defective?

   Hint

   Calculate for each k using cumulative probability.

6. 6.

   If a company observes on average 10 defects per 500 items, how does this defect rate influence their production strategies?

   Hint

   Consider how defect rates can inform resource allocation and process improvements.