Consider the following project schedule and then do as directed the solution to this problem has to be submitted via Canvas within the specified time; make sure to write your name on your submission TIMES (DAYS) PREDECESSOR JOBS) E 3 JOB NO. A B C mo A B D EF G H . H.! F G H 3 1 1 1 2 2 3 5 b 4 3 12 11 5 3 11 6 12 2 5 4 3 2 9 4 4 4 7 K 5 9 (a) Construct a project network diagram including the dummy nodes of START and FINISH, and perform CPM to determine the critical path. I will need to ES,EF.LS and LF. (10+15) (b) Determine the distribution of project completion time. (10) (c) Determine the probability of completing the project between 25 and 32 days. (Round your answer to the THREE places of decimal) (10) (d) If you are make a bid for a contract on this project and need to determine a time of completion that you have 96% chance of fulfilling, what would you propose as your project finishing time? Round your answer to the nearest Integer