Suppose that a software development project team has arrived at the following time estimates for a software project.a$.$ The duration of each task is described by a normal statistical distribution. If the duration of each task was precisely the mean of this distribution, what would the duration of the project be$?$b$.$ Report the overall mean duration of the project from $300$ simulations of the above model $($Using the statistical distributions and SimQuick$).$ How does this number compare with the duration reported in part a$?$Note: Project duration $=(1-$ mean inventory of End$)*($Simulation duration$)$