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 f(x)=1/5.0 e^(-x⁄5.0) x>0 What percentage of the laptops will fail within the warranty period? Find the probability that one of these laptops will provide satisfactory service for up to 2 years. 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? Calculate the mean life-time of the laptops.
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