Consider that we have the following three time estimates for each of the tasks. Tasks Optimistic time (to) Pessimistic time (to) Expected duration (te) Most likely time (tm) 2 5 3 A 1 3 B 3 1 D 5 5 2 E 7 5 13 9 6 6 7 4 F a. Determine the expected duration of each task as well as the total estimate for the project. Include both the total estimate for the project as well as the standard deviation for the total path. Show all work. (11 marks) b. If everything went better than expected what would be the earliest possible time for the project to be completed (earliest completion date) along with the standard deviation. Show all paths (5 marks) If everything went worse than expected what would be the latest possible time for the project to be completed (latest completion date) along with the standard deviation. Show all paths (5 marks) C