4 2. Consider a project with activities and their optimistic, most likely and pessimistic completion times (in days) given below: Activity Preceding Optimistic Most Pessimistic Activity Likely A 6 8 10 11 12 10 15 26 19 23 57 16 28 24 36 48 9 15 21 14 30 D G 13 J 18 H 23 14 34 COUWLUI- 4 TIMO MOI (a) Using PERT estimate the expected completion time and its standard deviation for each of the above activities (2 marks) (b) Draw the network for the above problem indicating the critical path clearly and the expected completion time of the project (12 marks) (c) Determine the probability for each path in the network that that path will be completed later than 64 days. (6 marks) (Total 20 marks)