Q6.A small project whose activities are identified by their beginning (i) and ending (j) node numbers is given below. a) Draw the project network and find critical activities and slack times and project duration. b) What is the probability that the project will be completed: (i) at least 3 weeks earlier than expected? (ii) no more than 3 weeks later than expected? (iii) in critical path duration c) If the project due date is 10 weeks, what is the probability of not meeting the due date? d) What due date has about 90% chance of being met? e) Calculate the minimum number of activities (non-critical) that need to be delayed for the project to be delayed. f) Calculate the total usable slack time for the project to be on time. Activity Estimated duration in Weeks Optimistic Most Likely Pessimistic 1-2 1 2 3 1-3 2 3 4 1-4 2 2 2 o u I I 2-5 1 7 7 3-5 2 5 8 4-5 2 5 8 4-6 7 9 17 5-6 4 7 10