Matched Problem 2 A manufacturer produces LED ood lights with life expectancies, based on usage of 3 hours per day, that are normally distributed with a mean of 9 years and a standard deviation of 2 years. Determine the probability that an LED flood light selected at random will last between 7 and 1 1 years. Matched Problem 3 The rate of change of the income produced by a vending machine is given by f(t) = 5,00060'04' , where t is time in years since the installation of the machine. Find the total income produced by the machine during the second 5 years of operation. Matched Problem 4 Use the continuous income rate of ow for the vending machine example (matched problem 3), namely, f(t) = 5, 000.9004" Find the future value of this income stream at 9%, compounded continuously for 5 years, and nd the total interest earned. Round answers to the nearest dollar. Matched Problem 7 Find the equilibrium price and then nd the consumers' surplus and producers' surplus at the equilibrium price level, if p = d(x) = 25 0.00m2 and p = S(x) = 5 + 0.1x