2. 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 a) What percentage of the laptops will fail within the warranty period? b) Find the probability that one of these laptops will provide satisfactory service for up to 2 years. c) The manufacturing cost of a laptop computer is $100, and the prot per sale is $300. What is the effect of warranty replacement on prot? d) Calculate the mean life-time of the laptops