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In: Statistics and Probability

Week 2 Discussion Board Answer the following question, making sure to explain your thinking in detail....

Week 2 Discussion Board

  1. Answer the following question, making sure to explain your thinking in detail.

An organization estimates that 31% of new cars have a cosmetic defect, such as a scratch or a dent, when they are delivered to car dealers. This same organization believes that 6% have a functional defect – something that doesn’t work properly – and that 2% of new cars have both types of problems.

  1. If you buy a new car, what is the probability that it has some kind of defect?
  2. What is the probability that it has a cosmetic defect but no functional defect?
  3. If you notice a dent on a new car (cosmetic defect), what is the probability it has a functional defect?
  4. Are the two kinds of defects disjoint events? Explain.
  5. Do you think the two kinds of defects are independent events? Explain.
  1. Find one aspect of this week’s material that is relevant to college, career, or everyday life. Provide some detail on how it could be important.

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