please see instructions

Question 4: Project management (25 marks) Consider the following activity list and PERT three-estimates for activity durations. (Durations are in weeks). Activity Optimistic estimate (0) 2 Most likely estimate (m) 3 Pessimistic estimate (p) 10 Immediate predecessor(s) B 2 3 16 15 C 1 2 A D 1 3 2 5.5 9 17 E A, B B D, E F 1 4 13 a. Find the estimate of the mean and variance of the duration of each activity. (5 marks) b. Construct the project network for this project. (5 marks) C. Find the earliest and latest start time and finish time for each activity based on the mean duration for each activity. (8 marks) d. Find the mean critical path. (2 marks) e. Find the approximate probability of completing the project within 20 weeks. (2 marks) Instruction: Round the numbers to 2 decimal places. You can answer both parts of (b) and (c) in one graph on a paper, and include a photo of it into your file. You can do it in any drawing software like Visio, Paint, etc. as well. To answer part (e), you can use excel to calculate the probability of completion