Practice Quality Control - 19.X.4.3 | 19. Poisson Distribution | Mathematics - iii (Differential Calculus) - Vol 3
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Knowledge

19.X.4.3 - Quality Control

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

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

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

Question 2

Easy

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.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

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.

Question 2

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.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation