6 10 Marks Question 2(6): Network Analysis - PERT Computations A small project consisting of the following activities has the following characteristics: Time (Weeks) Activity 1-2 1-3 2-5 3-5 4-6 5-6 Optimistic 4 3 4 3 7 6 Pessimistic 12 5 8 6 3 11 12 Most likely 8 4 6 5 3 9 9 4 5-7 5 9 7 3 5 4 Required: 1. Draw the Project Network and find out the Critical Path and expected completion time, 2. Calculate the Standard Deviation and Variance of the Project 3. What is the probability of the project completion is atleast 2 weeks earlier than the expected time? 4. If the Project due date for completion is 27 weeks, what is the probability of not meeting the due date? 5. If the Project Manager wants to be 90% sure of the completion how many weeks before the due date should he commence the Project? Value of 2.145 = 0.3759, 70.50 = 0.2190, NT (7):40=128