A project consists of seven activities and the time estimates of the activities are furnished as under: Activity 1-2 1-3 1-4 2-5 3-5 4-6 5-6 Required: Optimistic Days 4 3 4 5 8 4 2 Most likely Days 10 6 7 5 11 10 5 Pessimistic Days 16 9 16 5 32 16 8 i) Draw the network diagram. ii) Identify the critical path and its duration. iii) What is the probability that the project will be completed in 5 days earlier than the critical path duration? iv) What project duration will provide 95% confidence level of completion?