Problem 2 ABC Construction company a project to upgrade a three stars hotel to a five stars hotel. The manager contacts you as operations manager to know how long it will take to complete the project. After some discussions and analyses, you come up with the following activities, their predecessor, and their durations: Activity Immediate Predecessors Duration (Month) 3 4 DI F C 4 for H I EFT 8 destes a) Draw an AON network for the project. b) Find the critical path c) What is the expected project duration? d) If the project variance is estimated at 4; What is the probability that the project will be completed in 20 months? Page 4 of 7 ii. What is the probability that the project will be completed in 23 months? What is the due date that yields a 95% chance of completion