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In: Statistics and Probability

A dishwasher has a mean life of 10 years with an estimated standard deviation of 1.25...

  1. A dishwasher has a mean life of 10 years with an estimated standard deviation of 1.25 years ("Appliance life expectancy," 2013). Assume the life of a dishwasher is normally distributed.
  1. State the random variable.
  2. Find the probability that a dishwasher will last more than 15 years.
  3. Find the probability that a dishwasher will last less than 6 years.
  4. Find the probability that a dishwasher will last between 8 and 10 years.
  5. If you found a dishwasher that lasted less than 6 years, would you think that you have a problem with the manufacturing process?   Why or why not?
  6. A manufacturer of dishwashers only wants to replace free of charge 5% of all dishwashers. How long should the manufacturer make the warranty period?

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orchestra answered 2 years ago
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