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Binomial Experiment

Respond to the following questions:

  • What is a random variable?
  • How would you differentiate a discrete from a continuous random variable?

A laptop manufacturing company has implemented a 2-step process to test the quality of each production batch. In the first step, a technician randomly selects 15 laptops from the batch and determines whether they meet specifications. The batch is considered acceptable provided no more than 1 laptop fails to meet specifications. Otherwise, the entire batch has to be tested in the second step. Historical data shows that 95% of the laptops produced adhere to specifications.

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Reflect on the following in a minimum of 500 words:

  • What are the 4 characteristics of a binomial experiment?
  • Can we use a binomial distribution to model this process?
  • What is the probability that the entire batch unnecessarily has to be tested if in fact 95% of its laptops conform to specifications? (Hint: Use Excels =BINOMDIST() function to find the probability)
  • What is the probability that the batch is incorrectly accepted if only 75% of its laptops actually conform to specifications?
  • What situations in your organization might this type of analysis apply to? Explain.

 

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