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A manufacturer of laptop computers offers a one-year warranty. If the laptop computer fails for any...

  1. A manufacturer of laptop computers offers a one-year warranty. If the laptop computer fails for any reason during this period, it is replaced. The length of satisfactory service (years) is a random variable having the probability density function

fx=13.0e-x3.0 x>0

  1. What percentage of the laptops will fail within the warranty period?

  2. Find the probability that one of these laptops will provide satisfactory service for up to 2 years.

  3. The manufacturing cost of a laptop computer is $100, and the profit per sale is $300. What is the effect of warranty replacement on profit?

  4. Calculate the mean life-time of the laptops.


Math   Statistics-And-Probability   
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