From an extensive survey of live floor loads of office buildings, it was determined that the sustained EUDL (equivalent uniformly distributed load) intensity may be modeled with a lognormal distribution with a mean EUDL of 12 psf and a C. O.V. of 30%. Over the life of a building, the live floor load may fluctuate because of changes in occupancy and use of floor space. a) Assuming an average rate of occupancy change of once every 2 years, determine the exact distribution of the lifetime maximum live load EUDL for office buildings over a life of 50 years. b) Develop the corresponding asymptotic form for the distribution of the lifetime maximum EUDL, and evaluate the parameters for the 50-year life.